Chaves, Rafael
2016-01-01
It is a recent realization that many of the concepts and tools of causal discovery in machine learning are highly relevant to problems in quantum information, in particular quantum nonlocality. The crucial ingredient in the connection between both fields is the mathematical theory of causality, allowing for the representation of arbitrary causal structures and providing a rigorous tool to reason about probabilistic causation. Indeed, Bell's theorem concerns a very particular kind of causal structure and Bell inequalities are a special case of linear constraints following from such models. It is thus natural to look for generalizations involving more complex Bell scenarios. The problem, however, relies on the fact that such generalized scenarios are characterized by polynomial Bell inequalities and no current method is available to derive them beyond very simple cases. In this work, we make a significant step in that direction, providing a new, general, and conceptually clear method for the derivation of polynomial Bell inequalities in a wide class of scenarios. We also show how our construction can be used to allow for relaxations of causal constraints and naturally gives rise to a notion of nonsignaling in generalized Bell networks.
Peres, A
1999-01-01
Bell inequalities are derived for any number of observers, any number of alternative setups for each one of them, and any number of distinct outcomes for each experiment. It is shown that if a physical system consists of several distant subsystems, and if the results of tests performed on the latter are determined by local variables with objective values, then the joint probabilities for triggering any given set of distant detectors are convex combinations of a finite number of Boolean arrays, whose components are either 0 or 1 according to a simple rule. This convexity property is both necessary and sufficient for the existence of local objective variables. It leads to a simple graphical method which produces a large number of generalized Clauser-Horne inequalities corresponding to the faces of a convex polytope. It is plausible that quantum systems whose density matrix has a positive partial transposition satisfy all these inequalities, and therefore are compatible with local objective variables, even if th...
Teleportation, Bell's inequalities and inseparability
International Nuclear Information System (INIS)
Relations between teleportation, Bell's inequalities and inseparability are investigated. It is shown that any mixed two spin-1/2 state which violates the Bell-CHSH inequality is useful for teleportation. The result is extended to any Bell's inequalities constructed from the expectation values of products of spin operators. It is also shown that there exist inseparable states which are not useful for teleportation within the standard scheme. (orig.)
Bell's inequalities and Kolmogorov's axioms
Atkinson, D
2001-01-01
After recalling proofs of the Bell inequality based on the assumptions of separability and of noncontextuality, the most general noncontextual contrapositive conditional probabilities consistent with the Aspect experiment are constructed. In general these probabilities are not all positive.
Bell inequality and complementarity loophole
Czachor, Marek
1997-01-01
A simple classical, deterministic, local situation violating the Bell inequality is described. The detectors used in the experiment are ideal and the observers who decide which pair of measuring devices to choose for a given pair of particles have free will. The construction uses random variables which are not jointly measurable in a single run of an experiment and the hidden variables have a nonsymmetric probability density. Such random variables are complementary but still fully classical. ...
Bell inequalities and incompatible measurements
Morgan, Peter
2003-01-01
Bell inequalities are a consequence of measurement incompatibility (not, as generally thought, of nonlocality). In classical terms, this is equivalent to contextuality -- measurement devices do have a significant effect. Contextual models are reasonable in classical physics, which always took the view that we ignore measurement devices whenever possible, but if that isn't good enough then we do have to model measurement devices. It is also argued that quantum theory should only be taken with ...
George Boole and the Bell inequalities
Rosinger, E E
2004-01-01
As shown by Pitowsky, the Bell inequalities are related to certain classes of probabilistic inequalities dealt with by George Boole, back in the 1850s. Here a short presentation of this relationship is given. Consequently, the Bell inequalities can be obtained without any assumptions of physical nature, and merely through mathematical argument.
A model with cosmological Bell inequalities
Maldacena, Juan
2015-01-01
We discuss the possibility of devising cosmological observables which violate Bell's inequalities. Such observables could be used to argue that cosmic scale features were produced by quantum mechanical effects in the very early universe. As a proof of principle, we propose a somewhat elaborate inflationary model where a Bell inequality violating observable can be constructed.
Orientation entanglement and temporal Bell inequalities
Milman, P; Charron, E; Keller, A; Atabek, Osman; Charron, Eric; Keller, Arne; Milman, Perola
2006-01-01
We introduce Bell-type inequalities detecting correlations between spatial orientations of two quantum angular momenta. In such inequalities, measurements are performed on each subsystem at different times. These times play the role of the polarizer angles in Bell tests realized with photons. In a first inequality, orientation correlations are the relevant observables. Orientation is then dichotomized by distinguishing "positively" and "negatively" oriented subsystems. We show that the proposed inequalities are violated by a large set of entangled states. The experimental realisation of such proposals can be performed using atoms or molecules. These results open new ways for practical entanglement tests in N-level and continuous variables quantum systems.
Violating a Bell inequality with classical states
Liu, Qin; Lamas-Linares, Antía; Skaar, Johannes; Makarov, Vadim; Kurtsiefer, Christian
2011-01-01
A strong probe for limits of classical physics is the Bell inequality between measurements of separated particles. Its violation can be used to secure a shared secret between two parties, but a fair-sampling assumption has to be made for limited detection efficiencies. Here, we present an experimental violation of a Bell inequality by classical states, exploiting imperfections in common photodetectors. We also propose measurements to obtain violations exceeding those allowed by quantum physics for ideal Bell tests. This exploit demonstrates that device-independent quantum cryptography requires the detection loophole be closed.
Bell's inequality violation with spins in silicon.
Dehollain, Juan P; Simmons, Stephanie; Muhonen, Juha T; Kalra, Rachpon; Laucht, Arne; Hudson, Fay; Itoh, Kohei M; Jamieson, David N; McCallum, Jeffrey C; Dzurak, Andrew S; Morello, Andrea
2016-03-01
Bell's theorem proves the existence of entangled quantum states with no classical counterpart. An experimental violation of Bell's inequality demands simultaneously high fidelities in the preparation, manipulation and measurement of multipartite quantum entangled states, and provides a single-number benchmark for the performance of devices that use such states for quantum computing. We demonstrate a Bell/ Clauser-Horne-Shimony-Holt inequality violation with Bell signals up to 2.70(9), using the electron and the nuclear spins of a single phosphorus atom embedded in a silicon nanoelectronic device. Two-qubit state tomography reveals that our prepared states match the target maximally entangled Bell states with >96% fidelity. These experiments demonstrate complete control of the two-qubit Hilbert space of a phosphorus atom and highlight the important function of the nuclear qubit to expand the computational basis and maximize the readout fidelity. PMID:26571006
Bell inequalities for quantum optical fields
Żukowski, Marek; Wieśniak, Marcin; Laskowski, Wiesław
2016-08-01
The commonly used "practical" Bell inequalities for quantum optical fields, which use intensities as the observables, are derivable only if specific additional assumptions hold. This limits the range of local hidden variable theories, which are invalidated by their violation. We present alternative Bell inequalities, which do not suffer from any (theoretical) loophole. The inequalities are for correlations of averaged products of local rates. By rates we mean ratios of the measured intensity in the given local output channel to the total local measured intensity, in the given run of the experiment. Bell inequalities of this type detect entanglement in situations in which the "practical" ones fail. Thus, we have full consistency with Bell's theorem, and better device-independent entanglement indicators. Strongly driven type-II parametric down conversion (bright squeezed vacuum) is our working example. The approach can be used to modify many types of standard Bell inequalities, to the case of undefined particle numbers. The rule is to replace the usual probabilities by rates.
Generalized Bell Inequality Experiments and Computation
Hoban, Matty J; Browne, Dan E
2011-01-01
We consider general settings of Bell inequality experiments with many parties, where each party chooses from a finite number of measurement settings each with a finite number of outcomes. We investigate the constraints that Bell inequalities place upon the correlations possible in a local hidden variable theories using a geometrical picture of correlations. We show that local hidden variable theories can be characterized in terms of limited computational expressiveness, which allows us to characterize families of Bell inequalities. The limited computational expressiveness for many settings (each with many outcomes) generalizes previous results about the many-party situation each with a choice of two possible measurements (each with two outcomes). Using this computational picture we present generalizations of the Popescu-Rohrlich non-local box for many parties and non-binary inputs and outputs at each site. Finally, we comment on the effect of pre-processing on measurement data in our generalized setting and s...
Bell inequality and CP violation in the neutral kaon system
Bertlmann, Reinhold A; Hiesmayr, B C
2001-01-01
For the entangled neutral kaon system we formulate a Bell inequality sensitive to CP violation in mixing. Via this Bell inequality we obtain a bound on the leptonic CP asymmetry which is violated by experimental data. Furthermore, we connect the Bell inequality with a decoherence approach and find a lower bound on the decoherence parameter which practically corresponds to Furry's hypothesis.
Bell-inequality violation with "thermal" radiation
Filip, Radim; Dusek, Miloslav; Fiurasek, Jaromir; Mista, Ladislav
2001-01-01
The model of a quantum-optical device for a conditional preparation of entangled states from input mixed states is presented. It is demonstrated that even thermal or pseudo-thermal radiation can be entangled in such a way, that Bell-inequalities are violated.
Violation of Bell's inequalities in quantum optics
Reid, M. D.; Walls, D. F.
1984-01-01
An optical field produced by intracavity four-wave mixing is shown to exhibit the following nonclassical features: photon antibunching, squeezing, and violation of Cauchy-Schwarz and Bell's inequalities. These intrinsic quantum mechanical effects are shown to be associated with the nonexistence of a positive normalizable Glauber-Sudarshan P function.
Quantum cloning, Bell's inequality and teleportation
International Nuclear Information System (INIS)
We analyse the possibility of using the two-qubit output state from the Buzek-Hillery quantum copying machine (not necessarily a universal quantum cloning machine) as a teleportation channel. We show that there is a range of values of the machine parameter ξ for which the two-qubit output state is entangled and violates the Bell-CHSH inequality and for a different range it remains entangled but does not violate the Bell-CHSH inequality. Further, we observe that for certain values of the machine parameter the two-qubit mixed state can be used as a teleportation channel. The use of the output state from the Buzek-Hillery cloning machine as a teleportation channel provides an additional appeal to the cloning machine and motivation for our present work
Bell's Inequalities, Superquantum Correlations, and String Theory
Directory of Open Access Journals (Sweden)
Lay Nam Chang
2011-01-01
We argue that string theory, viewed as a quantum theory with two deformation parameters, the string tension α ' , and the string coupling constant g s , is such a superquantum theory that transgresses the usual quantum violations of Bell's inequalities. We also discuss the ℏ → ∞ limit of quantum mechanics in this context. As a superquantum theory, string theory should display distinct experimentally observable supercorrelations of entangled stringy states.
Partial list of bipartite Bell inequalities with four binary settings
Energy Technology Data Exchange (ETDEWEB)
Brunner, Nicolas [Group of Applied Physics, University of Geneva (Switzerland)], E-mail: nicolas.brunner@physics.unige.ch; Gisin, Nicolas [Group of Applied Physics, University of Geneva (Switzerland)
2008-04-28
We give a partial list of 26 tight Bell inequalities for the case where Alice and Bob choose among four two-outcome measurements. All tight Bell inequalities with less settings are reviewed as well. For each inequality we compute numerically the maximal quantum violation, the resistance to noise and the minimal detection efficiency required for closing the detection loophole. Surprisingly, most of these inequalities are outperformed by the CHSH inequality.
Generalized Bell-inequality experiments and computation
Energy Technology Data Exchange (ETDEWEB)
Hoban, Matty J. [Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT (United Kingdom); Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD (United Kingdom); Wallman, Joel J. [School of Physics, The University of Sydney, Sydney, New South Wales 2006 (Australia); Browne, Dan E. [Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT (United Kingdom)
2011-12-15
We consider general settings of Bell inequality experiments with many parties, where each party chooses from a finite number of measurement settings each with a finite number of outcomes. We investigate the constraints that Bell inequalities place upon the correlations possible in local hidden variable theories using a geometrical picture of correlations. We show that local hidden variable theories can be characterized in terms of limited computational expressiveness, which allows us to characterize families of Bell inequalities. The limited computational expressiveness for many settings (each with many outcomes) generalizes previous results about the many-party situation each with a choice of two possible measurements (each with two outcomes). Using this computational picture we present generalizations of the Popescu-Rohrlich nonlocal box for many parties and nonbinary inputs and outputs at each site. Finally, we comment on the effect of preprocessing on measurement data in our generalized setting and show that it becomes problematic outside of the binary setting, in that it allows local hidden variable theories to simulate maximally nonlocal correlations such as those of these generalized Popescu-Rohrlich nonlocal boxes.
Qubits from Number States and Bell Inequalities for Number Measurements
Larsson, Jan-Ake
2002-01-01
Bell inequalities for number measurements are derived via the observation that the bits of the number indexing a number state are proper qubits. Violations of these inequalities are obtained from the output state of the nondegenerate optical parametric amplifier.
Bell Inequalities, Experimental Protocols and Contextuality
Kupczynski, Marian
2014-01-01
The violation of Bell, CHSH and CH inequalities indicates only that the assumption of "conterfactual definiteness" and/or the probabilistic models used in proofs were incorrect. In this paper we discuss in detail an intimate relation between experimental protocols and probabilistic models. In particular we show that local realistic and stochastic hidden variable models are inconsistent with the experimental protocols used in spin polarization correlation experiments. In particular these models neglect a contextual character of quantum theory (QT) and do not describe properly quantum measurements. We argue that the violation of various inequalities gives arguments against the irreducible randomness of act of the measurement. Therefore quantum probabilities are reducible what means that QT is emergent. In this case one could expect to discover in time series of data some unpredicted fine structures proving that QT is not predictably complete what would be a major discovery.
Bell Inequalities Classifying Bi-separable Three-qubit States
Sun, B Z; Sun, Bao-Zhi; Fei, Shao-Ming
2006-01-01
We present a set of Bell inequalities that gives rise to a finer classification of the entanglement for tripartite systems. These inequalities distinguish three possible bi-separable entanglements for three-qubit states. The three Bell operators we employed constitute an external sphere of the separable cube.
Bell inequality for pairs of superselection rule restricted states
Heaney, Libby; Jaksch, Dieter
2010-01-01
Proposals for Bell inequality tests on systems restricted by superselection rules often require operations that are difficult to implement in practice. In this paper, we derive a new Bell inequality, where pairs of states are used to by-pass the superselection rule. In particular, we focus on mode entanglement of an arbitrary number of massive particles and show that our Bell inequality detects the entanglement in the pair when other inequalities fail. However, as the number of particles in the system increases, the violation of our Bell inequality decreases due to the restriction in the measurement space caused by the superselection rule. This Bell test can be implemented using techniques that are routinely used in current experiments.
Experimental Bell inequality violation without the postselection loophole
Lima, G.; Vallone, G.; Chiuri, A.; Cabello, A.; Mataloni, P.
2009-01-01
We report on an experimental violation of the Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality using energy-time entangled photons. The experiment is not free of the locality and detection loopholes, but is the first violation of the Bell-CHSH inequality using energy-time entangled photons which is free of the postselection loophole described by Aerts et al. [Phys. Rev. Lett. 83, 2872 (1999)].
Entanglement Measure and Quantum Violation of Bell-Type Inequality
Ding, Dong; He, Ying-Qiu; Yan, Feng-Li; Gao, Ting
2016-10-01
By calculating entanglement measures and quantum violation of Bell-type inequality, we reveal the relationship between entanglement measure and the amount of quantum violation for a family of four-qubit entangled states. It has been demonstrated that the Bell-type inequality is completely violated by these four-qubit entangled states. The plot of entanglement measure as a function of the expectation value of Bell operator shows that entanglement measure first decreases and then increases smoothly with increasing quantum violation.
Mathematical and physical meaning of the Bell inequalities
Santos, Emilio
2016-09-01
It is shown that the Bell inequalities are closely related to the triangle inequalities involving distance functions amongst pairs of random variables with values \\{0,1\\}. A hidden variables model may be defined as a mapping between a set of quantum projection operators and a set of random variables. The model is noncontextual if there is a joint probability distribution. The Bell inequalities are necessary conditions for its existence. The inequalities are most relevant when measurements are performed at space-like separation, thus showing a conflict between quantum mechanics and local realism (Bell's theorem). The relations of the Bell inequalities with contextuality, the Kochen-Specker theorem, and quantum entanglement are briefly discussed.
Institute of Scientific and Technical Information of China (English)
CHEN Chang-Yong; GAO Ke-Lin
2005-01-01
A state-dependent proof of Bell's theorem without inequalities using the product state of any two maximally entangled states (Bell states) of two qubits for two observers in an ideal condition, each of which possesses two qubits,is proposed. It is different from the other proofs in which there exists a fundamental requirement that certain specific suitable Bell states have been chosen. Moreover, in any non-ideal situation, a common Bell inequality independent of the choices of the 16-product states is derived, which is used to test the contradiction between quantum mechanics and local reality theory in the reach of current experimental technology.
Structural Investigation on Bell Inequalities of High Dimensions
Lee, S W; Lee, J; Cheong, Yong Wook; Lee, Jinhyoung; Lee, Seung-Woo
2005-01-01
We present the generalized Bell inequality for high-dimensional systems and reformulate it in order to compare with Collins-Gisin-Linden-Massar-Popescu (CGLMP) inequality. It is shown that the maximal entanglement leads to the maximal violation of our Bell inequality, whereas a non-maximally entangled state maximally violates CGLMP inequality. In addition, it is shown that both types have the equivalent structure with respect to the joint probabilities, but they have the different correlation weights of measurement outcomes. We remark that the correlation weights plays a crucial role in determining the violation conditions and tightness conditions.
Bell-type inequalities for cold heteronuclear molecules
Milman, Perola; Keller, Arne; Charron, Eric; Atabek, Osman
2006-01-01
We introduce Bell-type inequalities allowing for non-locality and entanglement tests with two cold heteronuclear molecules. The proposed inequalities are based on correlations between each molecule spatial orientation, an observable which can be experimentally measured with present day technology. Orientation measurements are performed on each subsystem at diferent times. These times play the role of the polarizer angles in Bell tests realized with photons. We discuss the experimental impleme...
Bell Inequality Tests with Macroscopic Entangled States of Light
Stobińska, M.; Sekatski, Pavel; Buraczewski, A.; Gisin, Nicolas; Leuchs, G.
2011-01-01
Quantum correlations may violate the Bell inequalities. Most of the experimental schemes confirming this prediction have been realized in all-optical Bell tests suffering from the detection loophole. Experiment which closes this loophole and the locality loophole simultaneously is highly desirable and remains challenging. A novel approach to a loophole-free Bell tests is based on amplification of the entangled photons, i.e.\\@ on macroscopic entanglement, which optical signal should be easy to...
Observation of Bell Inequality violation in B mesons
Go, A
2004-01-01
A pair of $B^0\\bar B^0$ mesons from $\\Upsilon(4S)$ decay exhibit EPR type non-local particle-antiparticle (flavor) correlation. It is possible to write down Bell Inequality (in the CHSH form: $S\\le2$) to test the non-locality assumption of EPR. Using semileptonic $B^0$ decays of $\\Upsilon(4S)$ at Belle experiment, a clear violation of Bell Inequality in particle-antiparticle correlation is observed: S=2.725+-0.167(stat)+-0.092(syst)
Constructing quantum games from a system of Bell's inequalities
Iqbal, Azhar
2009-01-01
We report constructing quantum games directly from a system of Bell's inequalities using Arthur Fine's analysis published in early 1980s. This analysis showed that such a system of inequalities forms a set of both necessary and sufficient conditions required to find a joint distribution function compatible with a given set of joint probabilities, in terms of which the system of Bell's inequalities is usually expressed. Using the setting of a quantum correlation experiment for playing a quantum game, and considering the examples of Prisoners' Dilemma and Matching Pennies, we argue that this approach towards constructing quantum games addresses well known criticism of quantum games.
Bell's inequality and the coincidence-time loophole
Larssons, JA; Gill, RD Richard
2003-01-01
This paper analyzes effects of time-dependence in the Bell inequality. A generalized inequality is derived for the case when coincidence and non-coincidence [and hence whether or not a pair contributes to the actual data] is controlled by timing that depends on the detector settings. Needless to say, this inequality is violated by quantum mechanics and could be violated by experimental data provided that the loss of measurement pairs through failure of coincidence is small enough, but the qua...
Experimental violation of Bell inequalities for multi-dimensional systems
Lo, Hsin-Pin; Yabushita, Atsushi; Chen, Yueh-Nan; Luo, Chih-Wei; Kobayashi, Takayoshi
2016-01-01
Quantum correlations between spatially separated parts of a $d$-dimensional bipartite system ($d\\geq 2$) have no classical analog. Such correlations, also called entanglements, are not only conceptually important, but also have a profound impact on information science. In theory the violation of Bell inequalities based on local realistic theories for $d$-dimensional systems provides evidence of quantum nonlocality. Experimental verification is required to confirm whether a quantum system of extremely large dimension can possess this feature, however it has never been performed for large dimension (e.g., $d\\geq 1000$). Here, we report that Bell inequalities are experimentally violated for bipartite quantum systems of extremely high dimensionality with the usual ensembles of polarization-entangled photon pairs. Our entanglement source violates Bell inequalities for extremely high dimensionality of $d>4000$. The designed scenario offers a possible new method to investigate the entanglement of multipartite system...
Bell's Inequality, Random Sequence, and Quantum Key Distribution
Hwang, W Y
2005-01-01
At first glance Ekert 91 quantum key distribution protocol can be secure even if legitimate users adopt whatever devices for the protocol as long as the devices give a result that violates Bell's inequality. However, it is not the case if they ignore non-detection events because Eve can make use of detection-loophole, as Larrson showed. What we show is that even when the legitimate users take into account non-detection events Eve can successfully eavesdrop if the manufacturer design the QKD system appropriately. A loophole utilized here is that of `free-choice' (or `real randomness'). We show how (local) quantum key distribution devices with pseudo-random sequence generator installed in them can apparently violate Bell's inequality. We briefly discuss a debate on Bell's inequality violation that is involved with a question on randomness.
Violation of Bell inequality based on S4 symmetry
Bolonek-Lasoń, Katarzyna
2016-08-01
In two recent papers [Phys. Rev. A 90, 062121 (2014), 10.1103/PhysRevA.90.062121 and Phys. Rev. A, 91, 052110 (2015), 10.1103/PhysRevA.91.052110] an interesting method of analyzing the violation of Bell inequalities has been proposed which is based on the theory of finite group representations. Here we apply this method to more complicated examples of S4 symmetry. We show how the Bell inequality can be related to the symmetries of regular tetrahedron. By choosing the orbits of three-dimensional representations of S4 determined by the geometry of tetrahedron we find that the Bell inequality under consideration is violated in quantum theory. The corresponding nonlocal game is analyzed.
Bell's inequalities II: logical loophole in their interpretation
Sica, Louis
2001-01-01
Assumed data streams from a delayed choice gedanken experiment must satisfy a Bell's identity independently of locality assumptions. The violation of Bell's inequality by assumed correlations of identical form among these data streams implies that they cannot all result from statistically equivalent variables of a homogeneous process. This is consistent with both the requirements of arithmetic and distinctions between commuting and noncommuting observables in quantum mechanics. Neglect of the...
Quantum communication complexity advantage implies violation of a Bell inequality
Buhrman, Harry; Czekaj, Łukasz; Grudka, Andrzej; Horodecki, Michał; Horodecki, Paweł; Markiewicz, Marcin; Speelman, Florian; Strelchuk, Sergii
2016-03-01
We obtain a general connection between a large quantum advantage in communication complexity and Bell nonlocality. We show that given any protocol offering a sufficiently large quantum advantage in communication complexity, there exists a way of obtaining measurement statistics that violate some Bell inequality. Our main tool is port-based teleportation. If the gap between quantum and classical communication complexity can grow arbitrarily large, the ratio of the quantum value to the classical value of the Bell quantity becomes unbounded with the increase in the number of inputs and outputs.
From Bell's inequalities to quantum information: a new quantum revolution
CERN. Geneva
2015-01-01
In 1964, John Stuart Bell discovered that it is possible to settle the debate experimentally, by testing the famous "Bell's inequalities", and to show directly that the revolutionary concept of entanglement is indeed a reality. A long series of experiments closer and closer to the ideal scheme presented by Bell has confirmed that entanglement is indeed "a great quantum mystery", to use the words of Feynman. Based on that concept, a new field of research has emerged, quantum information, where one uses quantum bits, the so-called “qubits”, to encode the information and process it. Entanglement ...
Jakobczyk, L
2004-01-01
It is shown that even if the linear entropy of mixed two-qubit state is not smaller then 0.457, Bell - CHSH inequalities can be violated. This contradicts the result obtained in the paper of E. Santos [1].
Bell inequality and the locality loophole: Active versus passive switches
Gisin, N.; Zbinden, H.
1999-01-01
All experimental tests of the violation of Bell's inequality suffer from some loopholes. We show that the locality loophole is not independent of the detection loophole: in experiments using low efficient detectors, the locality loophole can be closed equivalently using active or passive switches.
Testing Bell inequalities with circuit QEDs by joint spectral measurements
Yuan, Hao; Huang, J S; Wang, X H; Vedral, Vlatko
2011-01-01
We propose a feasible approach to test Bell's inequality with the experimentally-demonstrated circuit QED system, consisting of two well-separated superconducting charge qubits (SCQs) dispersively coupled to a common one-dimensional transmission line resonator (TLR). Our proposal is based on the joint spectral measurements of the two SCQs, i.e., their quantum states in the computational basis $\\{|kl>,\\,k,l=0,1\\}$ can be measured by detecting the transmission spectra of the driven TLR: each peak marks one of the computational basis and its relative height corresponds to the probability superposed. With these joint spectral measurements, the generated Bell states of the two SCQs can be robustly confirmed without the standard tomographic technique. Furthermore, the statistical nonlocal-correlations between these two distant qubits can be directly read out by the joint spectral measurements, and consequently the Bell's inequality can be tested by sequentially measuring the relevant correlations related to the sui...
Bell Inequality Tests with Macroscopic Entangled States of Light
Stobińska, Magdalena; Buraczewski, Adam; Gisin, Nicolas; Leuchs, Gerd; 10.1103/PhysRevA.84.034104
2011-01-01
Quantum correlations may violate the Bell inequalities. Most of the experimental schemes confirming this prediction have been realized in all-optical Bell tests suffering from the detection loophole. Experiment which closes this loophole and the locality loophole simultaneously is highly desirable and remains challenging. A novel approach to a loophole-free Bell tests is based on amplification of the entangled photons, i.e.\\@ on macroscopic entanglement, which optical signal should be easy to detect. However, the macroscopic states are partially indistinguishable by the classical detectors. An interesting idea to overcome these limitations is to replace the postselection by an appropriate preselection immediately after the amplification. This is in the spirit of state preprocessing revealing hidden nonlocality. Here, we examine one of possible preselections, but the presented tools can be used for analysis of other schemes. Filtering methods making the macroscopic entanglement useful for Bell test and quantum...
Bell-inequality tests with macroscopic entangled states of light
Energy Technology Data Exchange (ETDEWEB)
Stobinska, M. [Max Planck Institute for the Science of Light, Erlangen (Germany); Institute for Theoretical Physics II, Erlangen-Nuernberg University, Erlangen (Germany); Sekatski, P.; Gisin, N. [Group of Applied Physics, University of Geneva, Geneva (Switzerland); Buraczewski, A. [Faculty of Electronics and Information Technology, Warsaw University of Technology, Warsaw (Poland); Leuchs, G. [Max Planck Institute for the Science of Light, Erlangen (Germany); Institute for Optics, Information and Photonics, Erlangen-Nuernberg University, Erlangen (Germany)
2011-09-15
Quantum correlations may violate the Bell inequalities. Most experimental schemes confirming this prediction have been realized in all-optical Bell tests suffering from the detection loophole. Experiments which simultaneously close this loophole and the locality loophole are highly desirable and remain challenging. An approach to loophole-free Bell tests is based on amplification of the entangled photons (i.e., on macroscopic entanglement), for which an optical signal should be easy to detect. However, the macroscopic states are partially indistinguishable by classical detectors. An interesting idea to overcome these limitations is to replace the postselection by an appropriate preselection immediately after the amplification. This is in the spirit of state preprocessing revealing hidden nonlocality. Here, we examine one of the possible preselections, but the presented tools can be used for analysis of other schemes. Filtering methods making the macroscopic entanglement useful for Bell tests and quantum protocols are the subject of an intensive study in the field nowadays.
Loopholes in Bell inequality tests of local realism
International Nuclear Information System (INIS)
Bell inequalities are intended to show that local realist theories cannot describe the world. A local realist theory is one where physical properties are defined prior to and independent of measurement, and no physical influence can propagate faster than the speed of light. Quantum-mechanical predictions for certain experiments violate the Bell inequality while a local realist theory cannot, and this shows that a local realist theory cannot give those quantum-mechanical predictions. However, because of unexpected circumstances or ‘loopholes’ in available experiment tests, local realist theories can reproduce the data from these experiments. This paper reviews such loopholes, what effect they have on Bell inequality tests, and how to avoid them in experiment. Avoiding all these simultaneously in one experiment, usually called a ‘loophole-free’ or ‘definitive’ Bell test, remains an open task, but is very important for technological tasks such as device-independent security of quantum cryptography, and ultimately for our understanding of the world. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’. (review article)
Quantum nonlocality, Bell inequalities, and the memory loophole
International Nuclear Information System (INIS)
In the analysis of experiments designed to reveal violation of Bell-type inequalities, it is usually assumed that any hidden variables associated with the nth particle pair would be independent of measurement choices and outcomes for the first (n-1) pairs. Models which violate this assumption exploit what we call the memory loophole. We focus on the strongest type of violation, which uses the two-sided memory loophole, in which the hidden variables for pair n can depend on the previous measurement choices and outcomes in both wings of the experiment. We show that the two-sided memory loophole allows a systematic violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality when the data are analyzed in the standard way, but cannot produce a violation if a CHSH expression depending linearly on the data is used. In the first case, the maximal CHSH violation becomes small as the number of particle pairs tested becomes large. Hence, although in principle the memory loophole implies a slight flaw in the existing analyses of Bell experiments, the data still strongly confirm quantum mechanics against local hidden variables. We consider also a related loophole, the simultaneous measurement loophole, which applies if all measurements on each side are carried out simultaneously. We show that this can increase the probability of violating the linearized CHSH inequality as well as other Bell-type inequalities
NMR analog of Bell's inequalities violation test
Energy Technology Data Exchange (ETDEWEB)
Souza, A M; Oliveira, I S; Sarthour, R S [Centro Brasileiro de Pesquisas FIsicas, Rua Dr Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ (Brazil); Magalhaes, A; Teles, J; Azevedo, E R de; Bonagamba, T J [Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, PO Box 369, Sao Carlos 13560-970, SP (Brazil)], E-mail: amsouza@cbpf.br
2008-03-15
In this paper, we present an analog of Bell's inequalities violation test for N qubits to be performed in a nuclear magnetic resonance (NMR) quantum computer. This can be used to simulate or predict the results for different Bell's inequality tests, with distinct configurations and a larger number of qubits. To demonstrate our scheme, we implemented a simulation of the violation of the Clauser, Horne, Shimony and Holt (CHSH) inequality using a two-qubit NMR system and compared the results to those of a photon experiment. The experimental results are well described by the quantum mechanics theory and a local realistic hidden variables model (LRHVM) that was specifically developed for NMR. That is why we refer to this experiment as a simulation of Bell's inequality violation. Our result shows explicitly how the two theories can be compatible with each other due to the detection loophole. In the last part of this work, we discuss the possibility of testing some fundamental features of quantum mechanics using NMR with highly polarized spins, where a strong discrepancy between quantum mechanics and hidden variables models can be expected.
Violations of multisetting quaternion and octonion Bell inequalities
Kiesewetter, S.; Drummond, P. D.; Reid, M. D.
2015-09-01
We examine the N -partite quaternion and octonion dichotomic Bell inequalities derived by Vogel and Shchukin utilizing the square identities of Euler and Degen, which apply to experiments with M settings at each spatially separated site. We reveal these inequalities to be violated by the Greenberger-Horne-Zeilinger state, for N ≥3 and 2 ≤M ≤8 . Violations are robust with respect to loss, the threshold detection efficiency being η >22/N -1 for all M , implying violations for efficiencies as low as η ˜50 % at each site, as N →∞ .
Electron entanglement near a superconductor and Bell inequalities
Indian Academy of Sciences (India)
Thierry Martin; Chantal Lovarco
2002-08-01
Near the interface between a normal metal and a superconductor, Cooper pairs penetrate into the normal side, giving rise to the proximity effect. The two electrons of these pairs have entangled spin and orbital degrees of freedom. Nonlocal features of quantum mechanics can be probed by separating these two electrons. This is achieved with a fork geometry with two normal leads containing either spin- or energy-selective ﬁlters. A signature of entanglement can be detected by measuring the positive noise cross-correlations in this fork. In the case of energy ﬁlters, Bell-inequality checks constitute a deﬁnite probe of entanglement. We formulate Bell-type inequalities in terms of current–current cross-correlations associated with contacts with varying magnetization orientations. We ﬁnd maximal violation (as in photons) when a superconductor is the particle source.
The various versions of Bell's inequality: an alternative proof
Fakhri, H.; Taqavi, M.
2005-06-01
By considering uncommon factors as spacetime events that influence the spin orientations in the EPRB thought experiment, it is intended to show that one can still introduce the correlation functions. These uncommon factors are positioned inside the common lightcone of two particles. Then, Bell inequalities are proved with the preassumptions of local realism and spin conservation law in the context of a new scenario of hidden variables.
The various versions of Bell's inequality: an alternative proof
International Nuclear Information System (INIS)
By considering uncommon factors as spacetime events that influence the spin orientations in the EPRB thought experiment, it is intended to show that one can still introduce the correlation functions. These uncommon factors are positioned inside the common lightcone of two particles. Then, Bell inequalities are proved with the preassumptions of local realism and spin conservation law in the context of a new scenario of hidden variables
Bell's Inequalities and Methods of Quantifying Measures of Entanglement Correlations
Bracken, Paul
2014-08-01
Bell inequalities provide a specific setting for investigating the physics of entanglement in quantum mechanics. They give a basis for providing an experimental realization of these kinds of quantum phenomena and exhibit some of its more unusual consequences. Some useful ways to look at entanglement quantitatively are presented. It is intended that the presentation and results will provide insights which make effective experimental observation easier.
Near-Optimal and Explicit Bell Inequality Violations
Buhrman, Harry; Scarpa, Giannicola; de Wolf, Ronald
2010-01-01
Bell inequality violations correspond to behavior of entangled quantum systems that cannot be simulated classically. We give two new two-player games with Bell inequality violations that are stronger, fully explicit, and arguably simpler than earlier work. The first game is based on the Hidden Matching problem of quantum communication complexity, introduced by Bar-Yossef, Jayram, and Kerenidis. This game can be won with probability~1 by a quantum strategy using a maximally entangled state with local dimension $n$ (e.g., $\\log n$ EPR-pairs), while we show that the winning probability of any classical strategy differs from 1/2 by at most $O(\\log n/\\sqrt{n})$. The second game is based on the integrality gap for Unique Games by Khot and Vishnoi and the quantum rounding procedure of Kempe, Regev, and Toner. Here $n$-dimensional entanglement allows to win the game with probability $1/(\\log n)^2$, while the best winning probability without entanglement is $1/n$. This near-linear ratio ("Bell inequality violation") i...
Institute of Scientific and Technical Information of China (English)
FU Jian; GAO Shu-Juan
2008-01-01
We numerically demonstrate that 'mode-entangled states' based on the transverse modes of classical optical fields in multimode waveguides violatc Bell's inequality. Numerically simulating the correlation measurement scheme of Bell's inequality, we obtain the normalized correlation functions of the intensity fluctuations for the two entangled classical fields. By using the correlation functions, the maximum violations of Bell's inequality are obtained. This implies that the two classical fields in the mode-entangled states, although spatially separated, present a nonlocal correlation.
Is the contextuality loophole fatal for the derivation of Bell Inequalities?
Nieuwenhuizen, T.M.
2011-01-01
It is explained on a physical basis how absence of contextuality allows Bell inequalities to be violated, without bringing an implication on locality or realism. Hereto we connect first to the local realistic theory Stochastic Electrodynamics, and then put the argument more broadly. Thus even if Bell Inequality Violation is demonstrated beyond reasonable doubt, it will have no say on local realism, because absence of contextuality prevents the Bell inequalities to be derived from local realis...
Testing Quantum Mechanics and Bell's Inequality with Astronomical Observations
Friedman, Andrew S.; Kaiser, David I.; Gallicchio, Jason; Team 1: University of Vienna, InstituteQuantum Optics and Quantum Information; Team 2: UC San Diego Cosmology Group; Team 3: NASA/JPL/Caltech
2016-06-01
We report on an in progress "Cosmic Bell" experiment that will leverage cosmology to test quantum mechanics and Bell's inequality using astronomical observations. Different iterations of our experiment will send polarization-entangled photons through the open air to detectors ~1-100 kilometers apart, whose settings would be rapidly chosen using real-time telescopic observations of Milky Way stars, and eventually distant, causally disconnected, cosmological sources - such as pairs of quasars or patches of the cosmic microwave background - all while the entangled pair is still in flight. This would, for the first time, attempt to fully close the so-called "setting independence" or "free will" loophole in experimental tests of Bell's inequality, whereby an alternative theory could mimic the quantum predictions if the experimental settings choices shared even a small correlation with unknown, local, causal influences a mere few milliseconds prior to the experiment. A full Cosmic Bell test would push any such influence all the way back to the hot big bang, since the end of any period of inflation, 13.8 billion years ago, an improvement of 20 orders of magnitude compared to the best previous experiments. Redshift z > 3.65 quasars observed at optical wavelengths are the optimal candidate source pairs using present technology. Our experiment is partially funded by the NSF INSPIRE program, in collaboration with MIT, UC San Diego, Harvey Mudd College, NASA/JPL/Caltech, and the University of Vienna. Such an experiment has implications for our understanding of nature at the deepest level. By testing quantum mechanics in a regime never before explored, we would at the very least extend our confidence in quantum theory, while at the same time severely constraining large classes of alternative theories. If the experiment were to uncover discrepancies from the quantum predictions, there could be crucial implications for early-universe cosmology, the security of quantum encryption
Quantum nonlocality, Bell inequalities and the memory loophole
Barrett, Jonathan; Collins, Daniel; Hardy, Lucien; Kent, Adrian; Popescu, Sandu
2002-01-01
In the analysis of experiments designed to reveal violation of Bell-type inequalities, it is usually assumed that any hidden variables associated with the nth particle pair would be independent of measurement choices and outcomes for the first $(n-1)$ pairs. Models which violate this assumption exploit what we call the {\\it memory loophole}. We focus on the strongest type of violation, which uses the {\\it 2-sided} memory loophole, in which the hidden variables for pair $n$ can depend on the p...
All Pure Entangled States of Three-Qubit System Violate a Bell Inequality For Probabilities
Chen, J L; Kwek, L C; Oh, C H; Chen, Jing-Ling; Wu, Chun-Feng
2003-01-01
We present a Theorem that all generalized GHZ states of three-qubit system violation a Bell inequality in terms of probabilities. We also show that all pure entangled states of three-qubit system violate a Bell inequality for probabilities.
Test of high-dimensional Bell inequalities by reconstructing quasiprobability distribution functions
Lee, Seung-Woo
2010-01-01
We propose a scheme for testing high-dimensional Bell inequalities by reconstructing quasiprobability distribution functions. Two types of high-dimensional Bell inequalities proposed by Collins et al. [Phys. Rev. Lett. 88, 040404 (2002)] and Son et al. [Phys. Rev. Lett. 96, 060406 (2006)] are recast into the form in complex variable representation, where the correlation function can be obtained by reconstructing quasiprobability distribution functions. Based on this scheme we test two types of high-dimensional Bell inequalities with different numbers of outcomes for two mode squeezed vacuum states. For some cases of more than two level outcomes the type proposed by Collins et al. exhibits stronger violations than the CHSH inequality, while the violation strength of the type proposed by Son et al. tends to decrease as increasing the number of outcomes. It is also shown that high-dimensional Bell tests can be more robust to detection noise than the test of CHSH inequality.
Large violation of Bell inequalities using both particle andwave measurements
Energy Technology Data Exchange (ETDEWEB)
Cavalcanti, Daniel [Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore); Brunner, Nicolas; Skrzypczyk, Paul [H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL (United Kingdom); Salles, Alejo [Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen (Denmark); Scarani, Valerio [Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore); Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)
2011-08-15
When separated measurements on entangled quantum systems are performed, the theory predicts correlations that cannot be explained by any classical mechanism: communication is excluded because the signal should travel faster than light; preestablished agreement is excluded because Bell inequalities are violated. All optical demonstrations of such violations have involved discrete degrees of freedom and are plagued by the detection-efficiency loophole. A promising alternative is to use continuous variables combined with highly efficient homodyne measurements. However, all the schemes proposed so far use states or measurements that are extremely difficult to achieve, or they produce very weak violations. We present a simple method to generate large violations for feasible states using both photon counting and homodyne detections. The present scheme can also be used to obtain nonlocality from easy-to-prepare Gaussian states (e.g., two-mode squeezed state).
Bell-like inequality for spin-orbit separability of a classical laser beam
Borges, C V S; Huguenin, J A O; Khoury, A Z
2009-01-01
In analogy with Bell's inequality for two-qubit quantum states we propose an inequality criterion for the non-separability of the spin-orbit degrees of freedom of a classical laser beam. A definition of separable and non-separable spin-orbit modes is used in consonance with the one presented in Phys. Rev. Lett. 99, 160401 (2007). As the usual Bell's inequality can be violated for entangled two-qubit quantum states, we show both theoretically and experimentally that the proposed spin-orbit inequality criterion can be violated for non-separable modes. A discussion on the classical-quantum transition is also presented.
Can experimental tests of Bell inequalities performed with pseudoscalar mesons be definitive?
Genovese, M.; Novero, C.; Predazzi, E.
2001-01-01
We discuss if experimental tests of Bell inequalities performed with pseudoscalar mesons (K or B) can be definitive. Our conclusion is that this is not the case, for the efficiency loophole cannot be eliminated.
First experimental test of Bell inequalities performed using a non-maximally entangled state
Indian Academy of Sciences (India)
M Genovese; G Brida; C Novero; E Predazzi
2001-02-01
We describe the realisation of a new test of Bell inequalities using a new scheme obtained by the superposition of type I parametric down conversion produced in two different non-linear crystals pumped by the same laser, but with different polarisations. This experiment is the ﬁrst test of Bell inequalities using a non-maximally entangled state and thus represents an important step in the direction of eliminating the detection loophole.
Bell Inequality for Generalized Parity Measurement and its Violation for Continuous Variable Systems
Chen, J L; Kwek, L C; Oh, C H; Chen, Jing-Ling; Wu, Chun-Feng
2003-01-01
We generalize the concept of the usual parity measurement. Due to the generalized parity measurement, we obtain multi-component correlation functions. Bell inequality for the multi-component correlation function is proposed. The violation of the Bell inequality for continuous variable systems is investigated. The violation of the the original Einstein-Podolsky-Rosen states can exceed the Cirel'son bound, the maximal violation is 2.96981.
Maximal Violation of Bell Inequality for Any Given Two-Qubit Pure State
Institute of Scientific and Technical Information of China (English)
XIANG Yang
2010-01-01
@@ In the case of bipartite two-qubit systems,we derive an analytical expression of bound Bell operator for any given pure state.Our result not only manifests some properties of Bell inequality,for example,which may be violated by any pure entangled state and only be maximally violated for a maximally entangled state,but also gives the explicit values of maximal violation for any pure state.Finally we point out that any mixed states which can produce maximal violation of Bell inequality must have a maximal concurrence value.
Violation of a temporal Bell inequality for single spins in solid by over 50 standard deviations
Waldherr, G; Huelga, S F; Jelezko, F; Wrachtrup, J
2011-01-01
Quantum non-locality has been experimentally investigated by testing different forms of Bell's inequality, yet a loophole-free realization has not been achieved up to now. Much less explored are temporal Bell inequalities, which are not subject to the locality assumption, but impose a constrain on the system's time-correlations. In this paper, we report on the experimental violation of a temporal Bell's inequality using a nitrogen vacancy defect (NV) in diamond and provide a novel quantitative test of quantum coherence. We therefore present a new technique to initialize the electronic state of the NV with high fidelity, a necessary requirement for reliable quantum information processing and/or the implementation of protocols for quantum metrology.
Intrinsic asymmetry with respect to adversary: a new feature of Bell inequalities
International Nuclear Information System (INIS)
It is known that the local bound of a Bell inequality is sensitive to the knowledge of the external observer about the settings statistics. Here we ask how that sensitivity depends on the structure of that knowledge. It turns out that in some cases it may happen that the local bound is much more sensitive to the adversary's knowledge about the settings of one party than the other. Remarkably, there are Bell inequalities which are highly asymmetric with respect to the adversary's knowledge about local settings. This property may be viewed as a hidden intrinsic asymmetry of Bell inequalities. Potential implications of the revealed asymmetry effect are also discussed. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’. (paper)
Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres
Hensen, B.; Bernien, H.; Dréau, A. E.; Reiserer, A.; Kalb, N.; Blok, M. S.; Ruitenberg, J.; Vermeulen, R. F. L.; Schouten, R. N.; Abellán, C.; Amaya, W.; Pruneri, V.; Mitchell, M. W.; Markham, M.; Twitchen, D. J.; Elkouss, D.; Wehner, S.; Taminiau, T. H.; Hanson, R.
2015-10-01
More than 50 years ago, John Bell proved that no theory of nature that obeys locality and realism can reproduce all the predictions of quantum theory: in any local-realist theory, the correlations between outcomes of measurements on distant particles satisfy an inequality that can be violated if the particles are entangled. Numerous Bell inequality tests have been reported; however, all experiments reported so far required additional assumptions to obtain a contradiction with local realism, resulting in `loopholes'. Here we report a Bell experiment that is free of any such additional assumption and thus directly tests the principles underlying Bell's inequality. We use an event-ready scheme that enables the generation of robust entanglement between distant electron spins (estimated state fidelity of 0.92 +/- 0.03). Efficient spin read-out avoids the fair-sampling assumption (detection loophole), while the use of fast random-basis selection and spin read-out combined with a spatial separation of 1.3 kilometres ensure the required locality conditions. We performed 245 trials that tested the CHSH-Bell inequality S certification.
Multicomponent Bell inequality and its violation for continuous-variable systems
International Nuclear Information System (INIS)
Multicomponent correlation functions are developed by utilizing d-outcome measurements. Based on multicomponent correlation functions, we propose a Bell inequality for bipartite d-dimensional systems. Violation of the Bell inequality for continuous-variable (CV) systems is investigated. The violation of maximally entangled states can exceed the Cirel'son bound; the maximal violation is 2.969 81. For finite values of the squeezing parameter, the violation strength of CV states increases with dimension d. Numerical results show that the violation strength of CV states with finite squeezing parameters is stronger than that of maximally entangled states
Kiess, Thomas E.; Shih, Yan-Hua; Sergienko, A. V.; Alley, Carroll O.
1994-01-01
We report a new two-photon polarization correlation experiment for realizing the Einstein-Podolsky-Rosen-Bohm (EPRB) state and for testing Bell-type inequalities. We use the pair of orthogonally-polarized light quanta generated in Type 2 parametric down conversion. Using 1 nm interference filters in front of our detectors, we observe from the output of a 0.5mm beta - BaB2O4 (BBO) crystal the EPRB correlations in coincidence counts, and measure an associated Bell inequality violation of 22 standard deviations. The quantum state of the photon pair is a polarization analog of the spin-1/2 singlet state.
Ghostly action at a distance: A non-technical explanation of the Bell inequality
Alford, Mark G.
2016-06-01
We present a non-mathematical explanation of Bell's inequality. Using the inequality, we show how the results of Einstein-Podolsky-Rosen (EPR) experiments violate the principle of strong locality. This indicates, given some reasonable-sounding assumptions, that some sort of faster-than-light influence is present in nature. We discuss the implications, emphasizing the relationship between EPR and the Principle of Relativity, the distinction between causal influences and signals, and the tension between EPR and determinism.
Characterizing entanglement of an artificial atom and a cavity cat state with Bell's inequality.
Vlastakis, Brian; Petrenko, Andrei; Ofek, Nissim; Sun, Luyan; Leghtas, Zaki; Sliwa, Katrina; Liu, Yehan; Hatridge, Michael; Blumoff, Jacob; Frunzio, Luigi; Mirrahimi, Mazyar; Jiang, Liang; Devoret, M H; Schoelkopf, R J
2015-01-01
The Schrodinger's cat thought experiment highlights the counterintuitive concept of entanglement in macroscopically distinguishable systems. The hallmark of entanglement is the detection of strong correlations between systems, most starkly demonstrated by the violation of a Bell inequality. No violation of a Bell inequality has been observed for a system entangled with a superposition of coherent states, known as a cat state. Here we use the Clauser-Horne-Shimony-Holt formulation of a Bell test to characterize entanglement between an artificial atom and a cat state, or a Bell-cat. Using superconducting circuits with high-fidelity measurements and real-time feedback, we detect correlations that surpass the classical maximum of the Bell inequality. We investigate the influence of decoherence with states up to 16 photons in size and characterize the system by introducing joint Wigner tomography. Such techniques demonstrate that information stored in superpositions of coherent states can be extracted efficiently, a crucial requirement for quantum computing with resonators. PMID:26611724
Bell Theorem without Inequality for Some Generalized GHZ and W States
Institute of Scientific and Technical Information of China (English)
REN Chang-Liang; SHI Ming-Jun; DU Jiang-Feng
2007-01-01
Bell's theorem without inequalities is applied for some general Greenberger-Horn-Zeilinger (GHZ) states and W states and a wide range of such states can exhibit all-versus-nothing conflict between local realism and quantum theory. The case of standard GHZ state is contained in our proposal. For some generalized GHZ states more intensive violation on local realism is manifested.
A logical loophole in the derivation of the CHSH Bell-type inequality
Coddens, G.
2013-01-01
We point out a loophole in the derivation of the Bell inequalities in the form proposed by Clauser, Horne, Shimony and Holt (CHSH). In this derivation it is assumed that statistical independence is a necessary consequence of locality, but this is not a logical necessity.
The relevance of random choice in tests of Bell inequalities with atomic qubits
Santos Corchero, Emilio
2009-01-01
It is pointed out that a loophole may exist in experimental tests of Bell inequalities using atomic qubits, due to possible errors in the angles defining the observables whose correlation is measured. A sufficient condition is derived for closing the loophole.
Large violation of Bell inequalities using both particle and wave measurements
Cavalcanti, Daniel; Skrzypczyk, Paul; Salles, Alejo; Scarani, Valerio
2010-01-01
When separated measurements on entangled quantum systems are performed, the theory pre- dicts correlations that cannot be explained by any classical mechanism: communication is excluded because the signal should travel faster than light; pre-established agreement is excluded because Bell inequalities are violated. All optical demonstrations of such violations have involved discrete degrees of freedom and are plagued by the detection-efficiency loophole. A promising alternative is to use continuous variables combined with highly efficient homodyne measurements. However, all the schemes proposed so far use states or measurements that are extremely difficult to achieve, or produce very weak violations. In this paper we show that large violations for feasible states can be achieved if both photon counting and homodyne detections are used. Our scheme may lead to the first violation of Bell inequalities using continuous-variable measurements and pave the way for a loophole-free Bell test.
Testing Bell's Inequality with Cosmic Photons: Closing the Settings-Independence Loophole
Gallicchio, Jason; Kaiser, David I
2013-01-01
We propose a practical scheme to use photons from causally disconnected cosmic sources to set the detectors in an experimental test of Bell's inequality. In current experiments, detector settings are determined by local quantum random number generators. In such experiments, only a small amount of correlation between detector settings and some local hidden variables, established less than a millisecond before each experimental run, would suffice to mimic the predictions of quantum mechanics. By setting the detectors using cosmic sources instead, observed violations of Bell's inequality in our proposed "Cosmic Bell" experiment would require any such coordination to have been in place for billions of years rather than milliseconds -- an improvement of 20 orders of magnitude. Quasar pairs can be used as real-time triggers to establish detector settings using existing technology. For quasars on opposite sides of the sky with redshifts z > 3.65, there is no event after the hot big bang 13.8 billion years ago (follo...
Violation of fair sampling for Bell inequalities with high-dimensional systems
Dada, Adetunmise C
2011-01-01
The fair sampling or detection loophole for Bell inequalities is often understood as mainly relating to the overall efficiency of the detectors used in an experiment. For certain kinds of postselection, the fair sampling condition may however be violated in much more intricate ways. We argue that this is especially relevant for experimental Bell tests in high dimensions, including experimental tests using the orbital angular momentum of light. Here, the fair sampling assumption may be violated even if the measurements have perfect efficiency within the tested subspaces. An experiment will measure count rates rather than probabilities for outcomes to occur, and if the different measurement settings on a subsystem are not correctly chosen, this may lead to apparent violation of Bell inequalities for separable states, and violation of Tsirelson's bound for entangled states.
Ion-Photon Entanglement and Bell Inequality Violation with 138Ba+
Auchter, Carolyn; Noel, Thomas W; Blinov, Boris B
2013-01-01
We report on the demonstration of ion-photon entanglement and Bell inequality violation in a system of trapped 138Ba+ ions. Entanglement between the Zeeman sublevels of the ground state of a single 138Ba+ ion and the polarization state of a single 493 nm photon emitted by the ion with a fidelity of $0.84\\pm0.01$ was achieved, along with a Bell signal of 2.3, exceeding the classical limit of 2 by over eight standard deviations. This system is a promising candidate for a loophole-free Bell inequality violation test as the wavelengths of the transitions of 138Ba+ are in the visible region and thus suitable for long range transmission over fiber optic cable.
Bell-Boole Inequality: Nonlocality or Probabilistic Incompatibility of Random Variables?
Directory of Open Access Journals (Sweden)
Andrei Khrennikov
2008-03-01
Full Text Available The main aim of this report is to inform the quantum information community about investigations on the problem of probabilistic compatibility of a family of random variables: a possibility to realize such a family on the basis of a single probability measure (to construct a single Kolmogorov probability space. These investigations were started hundred of years ago by J. Boole (who invented Boolean algebras. The complete solution of the problem was obtained by Soviet mathematician Vorobjev in 60th. Surprisingly probabilists and statisticians obtained inequalities for probabilities and correlations among which one can find the famous BellÃ¢Â€Â™s inequality and its generalizations. Such inequalities appeared simply as constraints for probabilistic compatibility. In this framework one can not see a priori any link to such problems as nonlocality and Ã¢Â€Âœdeath of realityÃ¢Â€Â which are typically linked to BellÃ¢Â€Â™s type inequalities in physical literature. We analyze the difference between positions of mathematicians and quantum physicists. In particular, we found that one of the most reasonable explanations of probabilistic incompatibility is mixing in BellÃ¢Â€Â™s type inequalities statistical data from a number of experiments performed under different experimental contexts.
Experimental Violation of Multiple-Measurement Time-Domain Bell's Inequalities
Institute of Scientific and Technical Information of China (English)
TANG Jian-Shun; LI Yu-Long; LI Chuan-Feng; XU Jin-Shi; CHEN Geng; ZOU Yang; ZHOU Zong-Quan; GUO Guang-Can
2011-01-01
In the original time-domain Bell's inequalities (Leggett-Garg-type inequalities), the physical objective is measured at three time points. When more time points are chosen, several methods can be used to extend these inequalities. We experimentally demonstrate the violation of these extended inequalities using single photons from a self-assembled quantum dot. In general, for each extension, the quantity by which the quantum-mechanics value exceeds the classical limit becomes larger as the number of measurement time points increases. This quantity has a maximum vaJue for the extensions that have the same number of measurement time points. Furthermore, we evaluate the noise tolerance for these extensions with a quantity that is related to the number of standard deviations by which the experimental result surpasses the classical limit.%@@ In the original time-domain Bell's inequalities (Leggett-Garg-type inequalities), the physical objective is measured at three time points.When more time points are chosen, several methods can be used to extend these inequalities.We experimentally demonstrate the violation of these extended inequalities using single photons from a self- assembled quantum dot.In general, for each extension, the quantity by which the quantum-mechanics value exceeds the classical limit becomes larger as the number of measurement time points increases.This quantity has a maximum value for the extensions that have the same number of measurement time points.Furthermore, we evaluate the noise tolerance for these extensions with a quantity that is related to the number of standard deviations by which the experimental result surpasses the classical limit.
Bell's Inequalities for Continuous-Variable Systems in Generic Squeezed States
Martin, Jerome
2016-01-01
Bell's inequality for continuous-variable bipartite systems is studied. The inequality is expressed in terms of pseudo-spin operators and quantum expectation values are calculated for generic two-mode squeezed states characterized by a squeezing parameter $r$ and a squeezing angle $\\varphi$. Allowing for generic values of the squeezing angle is especially relevant when $\\varphi$ is not under experimental control, such as in cosmic inflation, where small quantum fluctuations in the early Universe are responsible for structures formation. Compared to previous studies restricted to $\\varphi=0$ and to a fixed orientation of the pseudo-spin operators, allowing for $\\varphi\
Violation of Bell's inequality and postulate on simultaneous measurement of compatible observables
Khrennikov, Andrei
2011-01-01
We discuss coupling of violation of Bell's inequality and non-Kolmogorovness of statistical data in the EPR-Bohm experiment. We emphasize that nonlocalty and "death of realism" are only sufficient, but not necessary conditions of non-Kolmogorovness. There can be found other sufficient conditions of non-Kolmogorovness and, hence, violation of Bell's inequality. We find one important source of non-Kolmogorovness by analyzing axiomatics of quantum mechanics. We pay attention to the postulate (due to von Neumann and Dirac) on simultaneous measurement of quantum observables given by commuting operators. This postulate is criticized as nonphysical. We propose a new interpretation of the Born-von Neumann-Dirac rule for calculation of the joint probability distribution for such observables. It gets a natural physical interpretation by considering conditional measurement scheme. We use this argument (i.e., rejection of the postulate on simultaneous measurement to motivate non-Kolmogorovness of the probabilistic struct...
The various versions of Bell's inequality: an alternative proof
Energy Technology Data Exchange (ETDEWEB)
Fakhri, H [Institute for Studies in Theoretical Physics and Mathematics (IPM), PO Box 19395-5531, Tehran (Iran, Islamic Republic of); Taqavi, M [Institute for Studies in Theoretical Physics and Mathematics (IPM), PO Box 19395-5531, Tehran (Iran, Islamic Republic of)
2005-06-17
By considering uncommon factors as spacetime events that influence the spin orientations in the EPRB thought experiment, it is intended to show that one can still introduce the correlation functions. These uncommon factors are positioned inside the common lightcone of two particles. Then, Bell inequalities are proved with the preassumptions of local realism and spin conservation law in the context of a new scenario of hidden variables.
Bell-inequality violation with entangled photons, free of the coincidence-time loophole
Larsson, Jan-Åke; Giustina, Marissa; Kofler, Johannes; Wittmann, Bernhard; Ursin, Rupert; Ramelow, Sven
2014-01-01
In a local realist model, physical properties are defined prior to and independent of measurement and no physical influence can propagate faster than the speed of light. Proper experimental violation of a Bell inequality would show that the world cannot be described with such a model. Experiments intended to demonstrate a violation usually require additional assumptions that make them vulnerable to a number of "loopholes." In both pulsed and continuously pumped photonic experiments, an experi...
Hwang, Won-Young
2012-01-01
Recently, Pawlowski [Phys. Rev. A 82, 032313 (2010)] claimed to have proven the security of a quantum key distribution by using only the monogamy of Bell's inequality violations. In the proof, however, he tacitly assumed that the eavesdropper's outcome is binary. The assumption cannot be justified because Eve's (eavesdropper's) power can only be limited by natural principle. We provide a counter-example for a step of the proof.
Quantum Simpsons Paradox and High Order Bell-Tsirelson Inequalities
Shi, Yaoyun
2012-01-01
The well-known Simpson's Paradox, or Yule-Simpson Effect, in statistics is often illustrated by the following thought experiment: A drug may be found in a trial to increase the survival rate for both men and women, but decrease the rate for all the subjects as a whole. This paradoxical reversal effect has been found in numerous datasets across many disciplines, and is now included in most introductory statistics textbooks. In the language of the drug trial, the effect is impossible, however, if both treatment groups' survival rates are higher than both control groups'. Here we show that for quantum probabilities, such a reversal remains possible. In particular, a "quantum drug", so to speak, could be life-saving for both men and women yet deadly for the whole population. We further identify a simple inequality on conditional probabilities that must hold classically but is violated by our quantum scenarios, and completely characterize the maximum quantum violation. As polynomial inequalities on entries of the ...
Rother, Tom
2016-01-01
In this paper I propose a classical optics experiment that results in a maximum violation of a Bell-like inequality. The first part is concerned with the Bell-like inequality (the so-called CHSH-inequality) itself. Its importance and its maximum violation in Quantum Mechanics (QM) are discussed in detail by employing an abstract probability state concept in a 4-dim. but classical event space. A T-matrix that represents the integral part of a corresponding Green's function as well as a sta...
Reality or Locality? - Proposed test to decide \\textit{how} Nature breaks Bell's inequality
Hansson, Johan
2011-01-01
Bell's theorem, and its experimental tests, has shown that the two premises for Bell's inequality - locality and objective reality - cannot both hold in nature, as Bell's inequality is broken. A simple test is proposed, which for the first time may decide which alternative nature actually prefers on the fundamental, quantum level. If each microscopic event is truly random (e.g. as assumed in orthodox quantum mechanics) objective reality is not valid, whereas if each event is described by an unknown but deterministic mechanism ("hidden variables") locality is not valid. This may be analyzed and decided by the well-known reconstruction method of Ruelle and Takens; in the former case no structure should be discerned, in the latter a reconstructed structure should be visible. This could in principle be tested by comparing individual "hits" in a double slit experiment, but in practice a single fluorescent atom, and its (seemingly random) temporal switching between active/inactive states would possibly be better/mo...
International Nuclear Information System (INIS)
We have performed three experimental tests of Bell's inequalities by measuring the linear-polarization correlation of photons emitted by pairs in the 4p21S0 → 4s4p 1P1 → 4s21S0 radiative cascade of calcium. The first part of this dissertation reminds the theoretical background (Bell's theorem), and the experimental situation (previous experiments). We then describe our apparatus: the source (calcium atomic beam selectively excited by two-photon absorption), the optics, the photon coincidence-counting system. Our first experiment, analogous to previous ones (but more precise) involves one-channel polarizers. Our second experiment, based on a conceptually simpler scheme, uses two-channel polarizers. The third experiment involves acousto-optical switches followed by two linear polarizers: these devices act as time-varying polarizers, the orientation of which is changed during the time of flight of photons. In the three experiments, the results are in good agreement with the Quantum mechanical predictions, and they distinctly violate the relevant Bell's inequalities
Analytic quantification of the singlet nonlocality for the first Bell inequality
Parisio, Fernando
2016-03-01
Recently an alternative way to quantifying the Bell nonlocality has been proposed [E. A. Fonseca and F. Parisio, Phys. Rev. A 92, 030101(R) (2015), 10.1103/PhysRevA.92.030101]. In this work we further develop this concept, the volume of violation, and analytically calculate its value for the spin-singlet state with respect to the settings of the first Bell inequality. These settings correspond to three directions in space, or three arbitrary points on the unit sphere. It is shown that the triples of directions that lead to violations in local causality correspond to 1 /3 of all possible configurations. From the perspective of quantum communication, this means that two distant parties that were able to align their measurements in one direction only (the remaining direction in each site being random) have a probability of about 33.3 % to certify their entanglement.
Using macroscopic entanglement to close the detection loophole in Bell inequality
Lim, Youngrong; Lee, Jinhyoung; Kang, Minsu; Jeong, Hyunseok
2011-01-01
We consider a Bell-like inequality performed using various instances of multi-photon entangled states to demonstrate that losses occurring after the unitary transformations used in the nonlocality test can be counteracted by enhancing the "size" of such entangled states. In turn, this feature can be used to overcome detection inefficiencies affecting the test itself: a slight increase in the size of such states, pushing them towards a more "macroscopic" form of entanglement, significantly improves the state robustness against detection inefficiency, thus easing the closing of the detection loophole. Differently, losses before the unitary transformations cause decoherence effects that cannot be compensated using macroscroscopic entanglement.
Bell's inequality and 'ghost-like action-at-a-distance' in quantum mechanics
International Nuclear Information System (INIS)
The phenomenon of non-locality in quantum mechanics is one of its most fundamental features and is most strikingly exemplified in the discussion of the EPR type of experiment. The generality of Bell's inequality and the results of experiments done up to now show that local hidden-variable theories are ruled out as a means to resolve the famous EPR paradox. What remains for further consideration are the non-local and the Einstein-separable hidden-variable models. Finally, an alternative and possible successful approach in trying to 'explain' non-locality might involve ideas of backward causation. (author)
Generalized Observables, Bell's Inequalities and Mixtures in the ESR Model for QM
Garola, Claudio
2010-01-01
The extended semantic realism (ESR) model proposes a new theoretical perspective which embodies the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) into a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide in this review an overall view on the present status of our research on this topic. We attain in a new, shortened way a mathematical representation of the generalized observables introduced by the ESR model and a generalization of the projection postulate of elementary QM. Basing on these results we prove that the Bell-Clauser-Horne-Shimony-Holt (BCHSH) inequality, a modified BCHSH inequality and quantum predictions hold together in the ESR model because they refer to different parts of the picture of the physical world supplied by the model. Then we show that a new mathematical representation of mixtures must be introduced in the ESR model which does not coincide with the standard representation in QM and avoids some deep p...
Reality or Locality? Proposed Test to Decide How Nature Breaks Bell's Inequality
Directory of Open Access Journals (Sweden)
Johan Hansson
2012-01-01
Full Text Available Bell's theorem, and its experimental tests, has shown that the two premises for Bell's inequality—locality and objective reality—cannot both hold in nature, as Bell's inequality is broken. A simple test is proposed, which for the first time may decide which alternative nature actually prefers on the fundamental, quantum level. If each microscopic event is truly random (e.g., as assumed in orthodox quantum mechanics objective reality is not valid whereas if each event is described by an unknown but deterministic mechanism (“hidden variables” locality is not valid. This may be analyzed and decided by the well-known reconstruction method of Ruelle and Takens; in the former case no structure should be discerned, in the latter a reconstructed structure should be visible. This could in principle be tested by comparing individual “hits” in a double-slit experiment, but in practice a single fluorescent atom, and its (seemingly random temporal switching between active/inactive states would possibly be better/more practical, easier to set up, observe, and analyze. However, only imagination limits the list of possible experimental setups.
Cabello, Adan; Larsson, Jan-Ake; Rodriguez, David
2009-01-01
The chained Bell inequalities of Braunstein and Caves involving N settings per observer have some interesting applications. Here we obtain the minimum detection efficiency required for a loophole-free violation of the Braunstein-Caves inequalities for any N > 2. We discuss both the case in which both particles are detected with the same efficiency and the case in which the particles are detected with different efficiencies.
Energy Technology Data Exchange (ETDEWEB)
Nikitin, N. V., E-mail: nnikit@mail.cern.ch; Sotnikov, V.P., E-mail: sotnikov@physics.msu.ru [Moscow State University, Faculty of Physics (Russian Federation); Toms, K. S., E-mail: ktoms@mail.cern.ch [The University of New Mexico, Department of Physics and Astronomy (United States)
2015-10-15
A radically new class of Bell inequalities in Wigner’s form was obtained on the basis of Kolmorov’s axiomatization of probability theory and the hypothesis of locality. These inequalities take explicitly into account the dependence on time (time-dependent Bell inequalities in Wigner’s form). By using these inequalities, one can propose a means for experimentally testing Bohr’ complementarity principle in the relativistic region. The inequalities in question open broad possibilities for studying correlations of nonrelativistic and relativistic quantum systems in external fields. The violation of the time-dependent inequalities in quantum mechanics was studied by considering the behavior of a pair of anticorrelated spins in a constant external magnetic field and oscillations of neutral pseudoscalar mesons. The decay of a pseudoscalar particle to a fermion–antifermion pair is considered within quantum field theory. In order to test experimentally the inequalities proposed in the present study, it is not necessary to perform dedicated noninvasive measurements required in the Leggett–Garg approach, for example.
Event-by-event simulation of experiments to create entanglement and violate Bell inequalities
Michielsen, K
2013-01-01
We discuss a discrete-event, particle-based simulation approach which reproduces the statistical distributions of Maxwell's theory and quantum theory by generating detection events one-by-one. This event-based approach gives a unified cause-and-effect description of quantum optics experiments such as single-photon Mach-Zehnder interferometer, Wheeler's delayed choice, quantum eraser, double-slit, Einstein-Podolsky-Rosen-Bohm and Hanbury Brown-Twiss experiments, and various neutron interferometry experiments at a level of detail which is not covered by conventional quantum theoretical descriptions. We illustrate the approach by application to single-photon Einstein-Podolsky-Rosen-Bohm experiments and single-neutron interferometry experiments that violate a Bell inequality.
Paradoxes of measures of quantum entanglement and Bell's inequality violation in two-qubit systems
Miranowicz, Adam; Koper, Andrzej
2010-01-01
We review some counterintuitive properties of standard measures describing quantum entanglement and violation of Bell's inequality (often referred to as "nonlocality") in two-qubit systems. By comparing the nonlocality, negativity, concurrence, and relative entropy of entanglement, we show: (i) ambiguity in ordering states with the entanglement measures, (ii) ambiguity of robustness of entanglement in lossy systems and (iii) existence of two-qubit mixed states more entangled than pure states having the same negativity or nonlocality. To support our conclusions, we performed a Monte Carlo simulation of $10^6$ two-qubit states and calculated all the entanglement measures for them. Our demonstration of the relativity of entanglement measures implies also how desirable is to properly use an operationally-defined entanglement measure rather than to apply formally-defined standard measures. In fact, the problem of estimating the degree of entanglement of a bipartite system cannot be analyzed separately from the mea...
2016-01-01
In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics. In the anniversary year of Einstein's General Theory of Relativity, developed 100 years ago, this collection reflects the subsequent and continuing fruitful development of spacetime theories. The volume is published in honour of Carl Brans on the occasion of his 80th birthday. Carl H. Brans, who also contributes personally, is a creative and independent researcher and one of the founders of the scalar-tensor theory, also known as Jordan-Brans-Dicke theory. In the present book, much space is devoted to scalar-tensor theories. Since the beginning of the 1990s, Brans has worked on new models of spacetime, collectively known as exotic smoothness, a field largely established by him. In this Festschrift, one finds an outstanding and unique collection of articles about exotic smoothness. Also featured are Bell's inequality and Mach's principle. Personal memories and hist...
Non-adaptive Measurement-based Quantum Computation and Multi-party Bell Inequalities
Hoban, Matty J; Loukopoulos, Klearchos; Browne, Dan E
2010-01-01
Quantum correlations exhibit behaviour that cannot be resolved with a local hidden variable picture of the world. In quantum information, they are also used as resources for information processing tasks, such as Measurement-based Quantum Computation (MQC). In MQC, universal quantum computation can be achieved via adaptive measurements on a suitable entangled resource state. In this paper, we look at a version of MQC in which we remove the adaptivity of measurements and aim to understand what computational abilities still remain in the resource. We show that there are explicit connections between this model of computation and the question of non-classicality in quantum correlations. We demonstrate this by focussing on deterministic computation of Boolean functions, in which natural generalisations of the Greenberger-Horne-Zeilinger (GHZ) paradox emerge; we then explore probabilistic computation, via which multipartite Bell Inequalities can be defined. We use this correspondence to define families of multi-part...
Hybrid quantum logic and a test of Bell's inequality using two different atomic isotopes.
Ballance, C J; Schäfer, V M; Home, J P; Szwer, D J; Webster, S C; Allcock, D T C; Linke, N M; Harty, T P; Aude Craik, D P L; Stacey, D N; Steane, A M; Lucas, D M
2015-12-17
Entanglement is one of the most fundamental properties of quantum mechanics, and is the key resource for quantum information processing (QIP). Bipartite entangled states of identical particles have been generated and studied in several experiments, and post-selected or heralded entangled states involving pairs of photons, single photons and single atoms, or different nuclei in the solid state, have also been produced. Here we use a deterministic quantum logic gate to generate a 'hybrid' entangled state of two trapped-ion qubits held in different isotopes of calcium, perform full tomography of the state produced, and make a test of Bell's inequality with non-identical atoms. We use a laser-driven two-qubit gate, whose mechanism is insensitive to the qubits' energy splittings, to produce a maximally entangled state of one (40)Ca(+) qubit and one (43)Ca(+) qubit, held 3.5 micrometres apart in the same ion trap, with 99.8 ± 0.6 per cent fidelity. We test the CHSH (Clauser-Horne-Shimony-Holt) version of Bell's inequality for this novel entangled state and find that it is violated by 15 standard deviations; in this test, we close the detection loophole but not the locality loophole. Mixed-species quantum logic is a powerful technique for the construction of a quantum computer based on trapped ions, as it allows protection of memory qubits while other qubits undergo logic operations or are used as photonic interfaces to other processing units. The entangling gate mechanism used here can also be applied to qubits stored in different atomic elements; this would allow both memory and logic gate errors caused by photon scattering to be reduced below the levels required for fault-tolerant quantum error correction, which is an essential prerequisite for general-purpose quantum computing. PMID:26672554
A new look at Bell's inequalities and Nelson's theorem
Energy Technology Data Exchange (ETDEWEB)
Schulz, B.
2009-04-15
In 1985, Edward Nelson, who formulated the theory of stochastic mechanics, made an interesting remark about Bell's theorem. Nelson analysed the latter in the light of classical fields that behave randomly. He found that if a stochastic hidden variable theory fulfils certain conditions, the inequality of Bell can be violated. Moreover, Nelson was able to prove that this may happen without any instantaneous communication between the two spatially separated measurement stations. Since Nelson's article got almost overlooked by physicists, we try to review his comments on the theorem. We argue that a modification of stochastic mechanics published recently by Fritsche and Haugk can be extended to a theory which fulfils the requirements of Nelson's analysis. The article proceeds to derive the quantum mechanical formalism of spinning particles and the Pauli equation from this version of stochastic mechanics. Then, we investigate Bohm's version of the EPR experiment. Additionally, other setups, like entanglement swapping or time and position correlations, are shortly explained from the viewpoint of our local hidden-variable model. Finally, we mention that this theory could perhaps be relativistically extended and useful for the formulation of quantum mechanics in curved space-times. (Abstract Copyright [2009], Wiley Periodicals, Inc.)
Generalized Observables, Bell's Inequalities and Mixtures in the ESR Model for QM
Garola, Claudio; Sozzo, Sandro
2011-03-01
The extended semantic realism ( ESR) model proposes a new theoretical perspective which embodies the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) into a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide in this review an overall view on the present status of our research on this topic. We attain in a new, shortened way a mathematical representation of the generalized observables introduced by the ESR model and a generalization of the projection postulate of elementary QM. Basing on these results we prove that the Bell-Clauser-Horne-Shimony-Holt (BCHSH) inequality, a modified BCHSH inequality and quantum predictions hold together in the ESR model because they refer to different parts of the picture of the physical world supplied by the model. Then we show that a new mathematical representation of mixtures must be introduced in the ESR model which does not coincide with the standard representation in QM and avoids some deep problems that arise from the representation of mixtures provided by QM. Finally we get a nontrivial generalization of the Lüders postulate, which is justified in a special case by introducing a reasonable physical assumption on the evolution of the compound system made up of the measured system and the measuring apparatus.
Rother, Tom
2016-07-01
In this paper I propose a classical optics experiment that results in a maximum violation of a Bell-like inequality. The first part is concerned with the Bell-like inequality (the so-called CHSH-inequality) itself. Its importance and its maximum violation in Quantum Mechanics (QM) are discussed in detail by employing an abstract probability state concept in a 4-dim. but classical event space. A T-matrix that represents the integral part of a corresponding Green's function as well as a statistical operator that contains a negative quasi-probability can be related to the corresponding quantum mechanical experiment. It is demonstrated that the derivation and usage of the T-matrix and the Green's function is equivalent to what is known from classical scattering theory. It is shown moreover that the negative quasi-probability of the statistical operator may be interpreted as a sink of probabilities related to two single events of the considered 4-dim. event space. A necessary condition for the violation of the CHSH-inequality is derived and discussed afterwards. In the second part of this paper I discuss a modification of the 4-dim. event space considered in the first part. It is shown that a combination of conventional Rayleigh scattering with a Mach-Zehnder setup would be able to put this modification into practice. Thus it becomes possible to achieve a maximum violation of the CHSH-inequality, if formulated in terms of intensities, on a pure classical way. The combination of classical light scattering with correlation experiments such as proposed in this paper may open new ways to study and to use the violation of Bell-like inequalities in modern optics.
Etesse, Jean; Blandino, Rémi; Kanseri, Bhaskar; Tualle-Brouri, Rosa
2013-01-01
We demonstrate that different kind of mesoscopic quantum states of light can be efficiently generated from a simple iterative scheme using homodyne heralding. These states exhibit strong non-classical features, and are of great interest for many applications such as quantum error-correcting codes or fundamental testings. On this basis we propose a protocol allowing a large loophole-free violation of a CHSH-type Bell inequality with a remarkable robustness to line losses.
Non-markovianity and CHSH-Bell inequality violation in multipartite dissipative systems
Thilagam, A
2012-01-01
We examine the non-Markovian dynamics in a multipartite system of two initially correlated atomic qubits, each located in a single-mode leaky cavity and interacting with its own bosonic reservoir. We show the dominance of non-Markovian features, as quantified by the difference in fidelity of the evolved system with its density matrix at an earlier time, in three specific two-qubit partitions associated with the cavity-cavity and atom-reservoir density matrices within the same subsystem, and the cavity-reservoir reduced matrix across the two subsystems. The non-Markovianity in the cavity-cavity subsystem is seen to be optimized in the vicinity of the exceptional point. The CHSH-Bell inequality computed for various two-qubit partitions show that high non-locality present in a specific subsystem appears in conjunction with enhanced non-Markovian dynamics in adjacent subsystems. This is in contrast to the matching existence of non-locality and quantum correlations in regions spanned by time t and the cavity decay...
A Practical Trojan Horse for Bell-inequality-based Quantum Cryptography
Larsson, J A
2002-01-01
Quantum Cryptography, or more accurately, Quantum Key Distribution (QKD) is based on using an unconditionally secure ``quantum channel'' to share a secret key among two users. A manufacturer of QKD devices could, intentionally or not, use a (semi-)classical channel instead of the quantum channel, which would remove the supposedly unconditional security. One example is the BB84 protocol, where the quantum channel can be implemented in polarization of single photons. Here, use of several photons instead of one to encode each bit of the key provides a similar but insecure system. For protocols based on violation of a Bell inequality (e.g., the Ekert protocol), such a modification is generally thought to be impossible. However, a counterexample will be given here using an identical physical setup as is used in photon-polarization Ekert QKD. Since the physical implementation is identical, a manufacturer may include this modification as a Trojan Horse in manufactured systems, to be activated at will by an eavesdrop...
From Boole to Leggett-Garg: Epistemology of Bell-type Inequalities
Hess, Karl; De Raedt, Hans; Michielsen, Kristel
2016-01-01
In 1862, George Boole derived an inequality for variables, now known as Boolean variables, that in his opinion represents a demarcation line between possible and impossible experience. This inequality forms an important milestone in the epistemology of probability theory and probability measures. In 1985 Leggett and Garg derived a physics related inequality, mathematically identical to Boole's, that according to them represents a demarcation between macroscopic realism and quantum mechanics. ...
From Boole to Leggett-Garg: Epistemology of Bell-Type Inequalities
Directory of Open Access Journals (Sweden)
Karl Hess
2016-01-01
Full Text Available In 1862, George Boole derived an inequality for variables that represents a demarcation line between possible and impossible experience. This inequality forms an important milestone in the epistemology of probability theory and probability measures. In 1985 Leggett and Garg derived a physics related inequality, mathematically identical to Boole’s, that according to them represents a demarcation between macroscopic realism and quantum mechanics. We show that a wide gulf separates the “sense impressions” and corresponding data, as well as the postulates of macroscopic realism, from the mathematical abstractions that are used to derive the inequality of Leggett and Garg. If the gulf can be bridged, one may indeed derive the said inequality, which is then clearly a demarcation between possible and impossible experience: it cannot be violated and is not violated by quantum theory. This implies that the Leggett-Garg inequality does not mean that the SQUID flux is not there when nobody looks, as Leggett and Garg suggest, but instead that the probability measures may not be what Leggett and Garg have assumed them to be, when no data can be secured that directly relate to them. We show that similar considerations apply to other quantum interpretation-puzzles such as two-slit experiments.
Khrennikov, Andrei
2016-01-01
We analyze foundational consequences of recently announced loophole free tests of violation of Bell's inequality. We consider two interpretations of these remarkable experiments. By the conventional one "Einstein was wrong and Bohr was right, there is spooky action at a distance, quantum realism is incompatible with locality." However, we show that it is still possible to treat quantum mechanics without appealing to nonlocality or denying realism. We hope that this note will attract attention of the experts in quantum foundations and convince them to come with their own comments on the final Bell's test.
Anti-Bell - Refutation of Bell's theorem
Barukčić, Ilija
2012-12-01
In general, Albert Einstein as one of "the founding fathers of quantum mechanics" had some problems to accept especially the Copenhagen dominated interpretation of quantum mechanics. Einstein's dissatisfaction with Copenhagen's interpretation of quantum mechanics, the absence of locality and causality within the Copenhagen dominated quantum mechanics lead to the well known Einstein, Podolsky and Rosen thought experiment. According to Einstein et al., the Copenhagen dominated quantum mechanics cannot be regarded as a complete physical theory. The Einstein, Podolsky and Rosen thought experiment was the origin of J. S. Bell's publication in 1964; known as Bell's theorem. Meanwhile, some dramatic violations of Bell's inequality (by so called Bell test experiments) have been reported which is taken as an empirical evidence against local realism and causality at quantum level and as positive evidence in favor of the Copenhagen dominated quantum mechanics. Thus far, Quantum mechanics is still regarded as a "strictly" non-local theory. The purpose of this publication is to refute Bell's original theorem. Thus far, if we accept Bell's theorem as correct, we must accept that +0> = +1. We can derive a logical contradiction out of Bell's theorem, Bell's theorem is refuted.
Bell's Universe: A Personal Recollection
Bertlmann, Reinhold A
2016-01-01
My collaboration and friendship with John Bell is recollected. I will explain his outstanding contributions in particle physics, in accelerator physics, and his joint work with Mary Bell. Mary's work in accelerator physics is also summarized. I recall our quantum debates, mention some personal reminiscences, and give my personal view on Bell's fundamental work on quantum theory, in particular, on the concept of contextuality and nonlocality of quantum physics. Finally, I describe the huge influence Bell had on my own work, in particular on entanglement and Bell inequalities in particle physics and their experimental verification, and on mathematical physics, where some geometric aspects of the quantum states are illustrated.
Bell tests with optimal local hidden variable models
Wang, Fuming
2014-01-01
An alternative method for detection-loophole-free Bell test is proposed using local hidden variable (LHV) models with optimal detection efficiencies. A framework for constructing such optimal LHV models is presented. Optimal LHV models for maximally and non-maximally entangled twopartite states are constructed and compared with Bell inequalities. The equivalence between Bell tests based on Bell inequalities and on optimal models is demonstrated. Testable LHV models with detection efficiencies lower than that of the Bell inequalities are demonstrated for the first time. Applications in Bell tests and in device-independent quantum information processing are discussed.
Multideviations: The hidden structure of Bell's theorems
Fogel, Brandon
2015-01-01
Specification of the strongest possible Bell inequalities for arbitrarily complicated physical scenarios -- any number of observers choosing between any number of observables with any number of possible outcomes -- is currently an open problem. Here I provide a new set of tools, which I refer to as "multideviations", for finding and analyzing these inequalities for the fully general case. In Part I, I introduce the multideviation framework and then use it to prove an important theorem: the Bell distributions can be generated from the set of joint distributions over all observables by deeming specific degrees of freedom unobservable. In Part II, I show how the theorem provides a new method for finding tight Bell inequalities. I then specify a set of new tight Bell inequalities for arbitrary event spaces -- the "even/odd" inequalities -- which have a straightforward interpretation when expressed in terms of multideviations. The even/odd inequalities concern degrees of freedom that are independent of those invol...
Bell on Bell's theorem: The changing face of nonlocality
Brown, Harvey R
2015-01-01
Between 1964 and 1990, the notion of nonlocality in Bell's papers underwent a profound change as his nonlocality theorem gradually became detached from quantum mechanics, and referred to wider probabilistic theories involving correlations between separated beables. The proposition that standard quantum mechanics is itself nonlocal (more precisely, that it violates `local causality') became divorced from the Bell theorem per se from 1976 on, although this important point is widely overlooked in the literature. In 1990, the year of his death, Bell would express serious misgivings about the mathematical form of the local causality condition, and leave ill-defined the issue of the consistency between special relativity and violation of the Bell-type inequality. In our view, the significance of the Bell theorem, both in its deterministic and stochastic forms, can only be fully understood by taking into account the fact that a fully Lorentz-covariant version of quantum theory, free of action-at-a-distance, can be a...
Statistics, Causality and Bell's theorem
Gill, Richard D
2012-01-01
Bell's (1964) theorem is popularly supposed to establish the non-locality of quantum physics as a mathematical-physical theory. Building from this, observed violation of Bell's inequality in experiments such as that of Aspect and coworkers (1982) is popularly supposed to provide empirical proof of non-locality in the real world. This paper reviews recent work on Bell's theorem, linking it to issues in causality as understood by statisticians. The paper starts with a new proof of a strong (finite sample) version of Bell's theorem which relies only on elementary arithmetic and (counting) probability. This proof underscores the fact that Bell's theorem tells us that quantum theory is incompatible with the conjunction of three cherished and formerly uncontroversial physical principles, nicknamed here locality, realism, and freedom. The first, locality, is obviously connected to causality: causal influences need time to propagate spatially. Less obviously, the other two principles, realism and freedom, are also fo...
Reconciling local realism and quantum physics: a critique to Bell
International Nuclear Information System (INIS)
A Metatheoretical Generalized Principle (MGP) is stated that formalizes an operational non-standard way of looking at the laws of physics. In Quantum Physics MGP leads to the invalidation of Bell's Inequality without renouncing to a minimal form of realism or to locality. Therefore the violation of Bell's Inequality predicted by Quantum Physics does not appear paradoxial if MGP is accepted
Choudhury, Sayantan; Singh, Rajeev
2016-01-01
In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell's inequality violation in the context of cosmology. Then to set up the cosmological Bell violating test experiment we introduce a model independent theoretical framework using which we have studied the creation of new massive particles by implementing the WKB approximation method for the scalar fluctuations in presence of additional time dependent mass contribution. Next using the background scalar fluctuation in presence of new time dependent mass contribution, we explicitly compute the expression for the one point and two point correlation functions. Furthermore, using the results for one point function we introduce a new theoretical cosmological parameter which can be expressed in terms of the other known inflationary observables and can also be treated as a fut...
John Bell and the Nature of the Quantum World
Bertlmann, Reinhold A
2014-01-01
I present my encounter with John Bell at CERN, our collaboration and joint work in particle physics. I also will recall our quantum debates and give my personal view on Bell's fundamental work on quantum theory, in particular, on contextuality and nonlocality of quantum physics. Some mathematical and geometric aspects of entanglement are discussed as influence of Bell's Theorem. Finally, I make some historical comments on the experimental side of Bell inequalities.
Causality, Bell's theorem, and Ontic Definiteness
Henson, Joe
2011-01-01
Bell's theorem shows that the reasonable relativistic causal principle known as "local causality" is not compatible with the predictions of quantum mechanics. It is not possible maintain a satisfying causal principle of this type while dropping any of the better-known assumptions of Bell's theorem. However, another assumption of Bell's theorem is the use of classical logic. One part of this assumption is the principle of "ontic definiteness", that is, that it must in principle be possible to assign definite truth values to all propositions treated in the theory. Once the logical setting is clarified somewhat, it can be seen that rejecting this principle does not in any way undermine the type of causal principle used by Bell. Without ontic definiteness, the deterministic causal condition known as Einstein Locality succeeds in banning superluminal influence (including signalling) whilst allowing correlations that violate Bell's inequalities. Objections to altering logic, and the consequences for operational and...
Entanglement versus Bell violations and their behaviour under local filtering operations
Verstraete, F; Verstraete, Frank; Wolf, Michael M.
2002-01-01
We discuss the relations between the violation of the CHSH Bell inequality for systems of two qubits on the one side and entanglement of formation, local filtering operations, and the entropy and purity on the other. We calculate the extremal Bell violations for a given amount of entanglement of formation and characterize the respective states, which turn out to have extremal properties also with respect to the entropy, purity and several entanglement monotones. The optimal local filtering operations leading to the maximal Bell violation for a given state are provided and the special role of the resulting Bell diagonal states in the context of Bell inequalities is discussed.
Detection loophole in asymmetric Bell experiments
Brunner, Nicolas; Gisin, Nicolas; Scarani, Valerio; Simon, Christoph
2007-01-01
The problem of closing the detection loophole with asymmetric systems, such as entangled atom-photon pairs, is addressed. We show that, for the Bell inequality I_3322, a minimal detection efficiency of 43% can be tolerated for one of the particles, if the other one is always detected. We also study the influence of noise and discuss the prospects of experimental implementation.
Bell's Nonlocality Can be Tested through Einstein-Podolsky-Rosen Steering
Chen, Jing-Ling; Ye, Xiang-Jun
2015-01-01
Quantum nonlocality has recently been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. Experimentally Bell's nonlocality is usually tested by quantum violation of the Clause-Horne-Shimony-Holt (CHSH) inequality in the two-qubit system. Bell's nonlocality is the strongest type of nonlocality, also due this reason Bell-test experiments have encountered both the locality loophole and the detection loophole for a very long...
John Bell and the nature of the quantum world
Bertlmann, Reinhold A.
2014-10-01
I present my encounter with John Bell at CERN, our collaboration and joint work in particle physics. I also recall our quantum debates and give my personal view on Bell's fundamental work on quantum theory, in particular, on contextuality and nonlocality of quantum physics. Some mathematical and geometric aspects of entanglement are discussed as influence of Bell's theorem. Finally, I make some historical comments on the experimental side of Bell inequalities. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’.
Two-player conflicting interest Bayesian games and Bell nonlocality
Situ, Haozhen
2016-01-01
Nonlocality, one of the most remarkable aspects of quantum mechanics, is closely related to Bayesian game theory. Quantum mechanics can offer advantages to some Bayesian games, if the payoff functions are related to Bell inequalities in some way, most of these Bayesian games that have been discussed are common interest games. Recently, the first conflicting interest Bayesian game is proposed in Phys. Rev. Lett. 114, 020401 (2015). In the present paper, we present three new conflicting interest Bayesian games where quantum mechanics offers advantages. The first game is linked with Cereceda inequalities, the second game is linked with a generalized Bell inequality with three possible measurement outcomes, and the third game is linked with a generalized Bell inequality with three possible measurement settings.
International Nuclear Information System (INIS)
Dynamics of disentanglement as measured by the tripartite negativity and Bell nonlocality as measured by the extent of violation of the multipartite Bell-type inequalities are investigated in this work. It is shown definitively that for the initial three-qubit Greenberger–Horne–Zeilinger (GHZ) or W class state preparation, the Bell nonlocality suffers sudden death under the influence of thermal reservoirs. Moreover, all the Bell-nonlocal states are useful for nonclassical teleportation, while there are entangled states that do not violate any Bell-type inequalities, but still yield nonclassical teleportation fidelity. - Highlights: ► Comparison of different aspects of quantum correlations. ► Robustness of the initial tripartite GHZ and W class states against decoherence. ► Bell-nonlocality sudden death under the influence of thermal reservoir. ► A nonzero minimum tripartite negativity is needed for nonclassical teleportation. ► All the Bell-nonlocal states yield nonclassical teleportation fidelity.
The Two Bell's Theorems of John Bell
Wiseman, Howard M
2014-01-01
Many of the heated arguments about the meaning of "Bell's theorem" arise because this phrase can refer to two different theorems that John Bell proved, the first in 1964 and the second in 1976. His 1964 theorem is the incompatibility of quantum phenomena with the dual assumptions of locality and determinism. His 1976 theorem is the incompatibility of quantum phenomena with the unitary property of local causality. This is contrary to Bell's own later assertions, that his 1964 theorem began with that single, and indivisible, assumption of local causality (even if not by that name). While there are other forms of Bell's theorems --- which I present to explain the relation between Jarrett-completeness, "weak locality", and EPR-completeness --- I maintain that Bell's two versions are the essential ones. Although the two Bell's theorems are logically equivalent, their assumptions are not, and the different versions of the theorem suggest quite different conclusions, which are embraced by different communities. For ...
Bell tests with arbitrarily low photodetection efficiency and homodyne measurements
Araújo, Mateus; Cavalcanti, Daniel; Santos, Marcelo França; Cabello, Adán; Cunha, Marcelo Terra
2011-01-01
We show that hybrid local measurements combining homodyne measurements and photodetection provide violations of a Bell inequality with arbitrarily low photodetection efficiency. This is shown in two different scenarios: when one part receives an atom entangled to the field mode to be measured by the other part and when both parts make similar photonic measurements. Our findings definitely put the hybrid measurement scenario as a strong candidate for the implementation of a loophole-free Bell test.
John Stewart Bell and twentieth century physics vision and integrity
Whitaker, Andrew
2016-01-01
John Stewart Bell (1928-1990) was one of the most important figures in twentieth-century physics, famous for his work on the fundamental aspects of the century's most important theory, quantum mechanics. While the debate over quantum theory between the supremely famous physicists, Albert Einstein and Niels Bohr, appeared to have become sterile in the 1930s, Bell was able to revive it and to make crucial advances - Bell's Theorem or Bell's Inequalities. He was able to demonstrate a contradiction between quantum theory and essential elements of pre-quantum theory - locality and causality. The book gives a non-mathematical account of Bell's relatively impoverished upbringing in Belfast and his education. It describes his major contributions to quantum theory, but also his important work in the physics of accelerators, and nuclear and elementary particle physics.
Bell’s inequalities and Kolmogorov’s axioms
Indian Academy of Sciences (India)
David Atkinson
2001-02-01
After recalling proofs of the Bell inequality based on the assumptions of separability and of noncontextuality, the most general noncontextual contrapositive conditional probabilities consistent with the Aspect experiment are constructed. In general these probabilities are not all positive.
Proposal for a loophole-free Bell test with electron spins of donors
Hong, Fang-Yu; Xiong, Shi-Jie
2008-01-01
So far, all experimental tests of Bell inequalities which must be satisfied by all local realistic hidden-variable theories and are violated by quantum mechanical predictions have left at least one loophole open. We propose a feasible setup allowing for a loophole-free test of the Bell inequalities. Two electron spin qubits of phosphorus donors in semiconductors in different cavities 300 m apart are entangled through a bright coherent light and postselections using homodyne measurements. The ...
Bell violation with entangled photons, free of the coincidence-time loophole
Larsson, Jan-Åke; Giustina, Marissa; Kofler, Johannes; Wittmann, Bernhard; Ursin, Rupert; Ramelow, Sven
2013-01-01
In a local realist world view, physical properties are defined prior to and independent of measurement, and no physical influence can propagate faster than the speed of light. Proper experimental violation of a Bell inequality would show that the world cannot be described within local realism. Such experiments usually require additional assumptions that make them vulnerable to a number of "loopholes." A recent experiment [Giustina et al, Nature, 2013] violated a Bell inequality without being ...
Violation of Locality Beyond Bell's Theorem for Multiparticle Perfect Correlations
Institute of Scientific and Technical Information of China (English)
ZHENG Li; ZHENG Tai-Yu; WU Zhao-Yan; WAN Fan
2005-01-01
We present the analogous inequalities of Bell's inequality for N-qubit system predicted respectively by realistic theory, quantum mechanics, local theory, local realistic theory, and local quantum theory on the same Belltype joint experiment. It is shown that quantum mechanics can be interpreted by hidden-variable theories while being incompatible to any local theory. A necessary condition for the separability of N-qubit system is derived.
Operator space approach to steering inequality
International Nuclear Information System (INIS)
In Junge and Palazuelos (2011 Commun. Math. Phys. 306 695–746) and Junge et al (2010 Commun. Math. Phys. 300 715–39) the operator space theory was applied to study bipartite Bell inequalities. The aim of the paper is to follow this line of research and use the operator space technique to analyze the steering scenario. We obtain a bipartite steering functional with unbounded largest violation of steering inequality, as well as constructing all ingredients explicitly. It turns out that the unbounded largest violation is obtained by a non maximally entangled state. Moreover, we focus on the bipartite dichotomic case where we construct a steering functional with unbounded largest violation of steering inequality. This phenomenon is different to the Bell scenario where only the bounded largest violation can be obtained by any bipartite dichotomic Bell functional. (paper)
Miyake, Hideki; Grzymkowski, Rafal; Ludacka, Radek; Schram, Malachi
2015-12-01
The Belle II experiment will record a similar quantity of data to LHC experiments and will acquire it at similar rates. This requires considerable computing, storage and network resources to handle not only data created by the experiment but also considerable amounts of simulated data. Consequently Belle II employs a distributed computing system to provide the resources coordinated by the the DIRAC interware. DIRAC is a general software framework that provides a unified interface among heterogeneous computing resources. In addition to the well proven DIRAC software stack, Belle II is developing its own extension called BelleDIRAC. BelleDIRAC provides a transparent user experience for the Belle II analysis framework (basf2) on various environments and gives access to file information managed by LFC and AMGA metadata catalog. By unifying DIRAC and BelleDIRAC functionalities, Belle II plans to operate an automated mass data processing framework named a “production system”. The Belle II production system enables large-scale raw data transfer from experimental site to raw data centers, followed by massive data processing, and smart data delivery to each remote site. The production system is also utilized for simulated data production and data analysis. Although development of the production system is still on-going, recently Belle II has prepared prototype version and evaluated it with a large scale simulated data production. In this presentation we will report the evaluation of the prototype system and future development plans.
The two Bell's theorems of John Bell
International Nuclear Information System (INIS)
Many of the heated arguments about the meaning of ‘Bell's theorem’ arise because this phrase can refer to two different theorems that John Bell proved, the first in 1964 and the second in 1976. His 1964 theorem is the incompatibility of quantum phenomena with the dual assumptions of locality and determinism. His 1976 theorem is the incompatibility of quantum phenomena with the unitary property of local causality. This is contrary to Bell's own later assertions, that his 1964 theorem began with that single, and indivisible, assumption of local causality (even if not by that name). While there are other forms of Bell's theorems—which I present to explain the relation between Jarrett-completeness, ‘fragile locality’, and EPR-completeness—I maintain that Bell's two versions are the essential ones. Although the two Bell's theorems are logically equivalent, their assumptions are not, and the different versions of the theorem suggest quite different conclusions, which are embraced by different communities. For realists, the notion of local causality, ruled out by Bell's 1976 theorem, is motivated implicitly by Reichenbach's principle of common cause and explicitly by the principle of relativistic causality, and it is the latter which must be forgone. Operationalists pay no heed to Reichenbach's principle, but wish to keep the principle of relativistic causality, which, bolstered by an implicit ‘principle of agent-causation’, implies their notion of locality. Thus for operationalists, Bell's theorem is the 1964 one, and implies that it is determinism that must be forgone. I discuss why the two ‘camps’ are drawn to these different conclusions, and what can be done to increase mutual understanding. (review article)
Hidden assumptions in the derivation of the theorem of Bell
Hess, Karl; De Raedt, Hans; Michielsen, Kristel
2012-01-01
John Bell's inequalities have already been considered by Boole in 1862. Boole established a one-to-one correspondence between experimental outcomes and mathematical abstractions of his probability theory. His abstractions are two-valued functions that permit the logical operations AND, OR and NOT an
Glaeser, Edward L; Matthew G. Resseger; Kristina Tobio
2008-01-01
What impact does inequality have on metropolitan areas? Crime rates are higher in places with more inequality, and people in unequal cities are more likely to say that they are unhappy. There is also a negative association between local inequality and the growth of both income and population, once we control for the initial distribution of skills. What determines the degree of inequality across metropolitan areas? Twenty years ago, metropolitan inequality was strongly associated with poverty,...
Bell correlations in a Bose-Einstein condensate.
Schmied, Roman; Bancal, Jean-Daniel; Allard, Baptiste; Fadel, Matteo; Scarani, Valerio; Treutlein, Philipp; Sangouard, Nicolas
2016-04-22
Characterizing many-body systems through the quantum correlations between their constituent particles is a major goal of quantum physics. Although entanglement is routinely observed in many systems, we report here the detection of stronger correlations--Bell correlations--between the spins of about 480 atoms in a Bose-Einstein condensate. We derive a Bell correlation witness from a many-particle Bell inequality involving only one- and two-body correlation functions. Our measurement on a spin-squeezed state exceeds the threshold for Bell correlations by 3.8 standard deviations. Our work shows that the strongest possible nonclassical correlations are experimentally accessible in many-body systems and that they can be revealed by collective measurements. PMID:27102479
Bell correlations in a Bose-Einstein condensate.
Schmied, Roman; Bancal, Jean-Daniel; Allard, Baptiste; Fadel, Matteo; Scarani, Valerio; Treutlein, Philipp; Sangouard, Nicolas
2016-04-22
Characterizing many-body systems through the quantum correlations between their constituent particles is a major goal of quantum physics. Although entanglement is routinely observed in many systems, we report here the detection of stronger correlations--Bell correlations--between the spins of about 480 atoms in a Bose-Einstein condensate. We derive a Bell correlation witness from a many-particle Bell inequality involving only one- and two-body correlation functions. Our measurement on a spin-squeezed state exceeds the threshold for Bell correlations by 3.8 standard deviations. Our work shows that the strongest possible nonclassical correlations are experimentally accessible in many-body systems and that they can be revealed by collective measurements.
Violation of the Leggett-Garg Inequality in Neutrino Oscillations
Formaggio, J A; Murskyj, M M; Weiss, T E
2016-01-01
The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. Neutrinos, and in particular the phenomenon of neutrino oscillations, should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound. A study of the MINOS experiment's data shows a greater than 6{\\sigma} violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested. By exploiting stationarity and the prepared-ensemble condition, rather than weak measurements, our results provide strong evidence against "hidden-variable theories," which are deterministic alternatives to quantum mechanics. Several alternative tests of the Leggett-Garg inequality with neut...
Percival, Ian C.
2000-01-01
Experiments over three decades have been unable to demonstrate weak nonlocality in the sense of Bell unambiguously, without loopholes. The last important loophole remaining is the detection loophole, which is being tackled by at least three experimental groups. This letter counters five common beliefs about Bell experiments, and presents alternative scenarios for future developments.
DEFF Research Database (Denmark)
Niño-Zarazúa, Miguel; Roope, Laurence; Tarp, Finn
2016-01-01
increased levels of inequality according to absolute and centrist measures are inevitable at today's per capita income levels. Our analysis suggests that it is not possible for absolute inequality to return to 1975 levels without further convergence in mean incomes among countries. Inequality, as captured...... by centrist measures such as the Krtscha, could return to 1975 levels, at today's domestic and global per capita income levels, but this would require quite dramatic structural reforms to reduce domestic inequality levels in most countries....
Cavalcanti, D
2010-01-01
The inequalities proposed in [Phys. Rev. Lett. 105, 170404 (2010)] are not Bell's inequalities in the usual sense: there are local classical models that violate these inequalities. Thus, their violation demonstrates nonlocality only under assumptions about the physical implementation and moreover they cannot be used as a device-independent test of nonlocality.
Experimental violation of Svetlichny's inequality
Lavoie, Jonathan; Resch, Kevin J; 10.1088/1367-2630/11/7/073051
2009-01-01
It is well known that quantum mechanics is incompatible with local realistic theories. Svetlichny showed, through the development of a Bell-like inequality, that quantum mechanics is also incompatible with a restricted class of nonlocal realistic theories for three particles where any two-body nonlocal correlations are allowed [Phys. Rev. D 35, 3066 (1987)]. In the present work, we experimentally generate three-photon GHZ states to test Svetlichny's inequality. Our states are fully characterized by quantum state tomography using an overcomplete set of measurements and have a fidelity of (84+/-1)% with the target state. We measure a convincing, 3.6 std., violation of Svetlichny's inequality and rule out this class of restricted nonlocal realistic models.
Concrete incompleteness & Bell's theorem
Geurdes, Han
2014-01-01
For a subset of 2 dimensional unit parameter vectors, Bell's correlation formula with local hidden variables reproduces the quantum correlation. This is unexpected considering a general no-go LHV claim derived from the same function.
Indian Academy of Sciences (India)
Kazuo Abe
2003-02-01
The Belle experiment continues to explore the origin of CP violation and test all aspects of standard model in meson decays. Recent results on CP violating paramter sin 21 and other measurements are presented.
Detection efficiency for loophole-free Bell experiments with postselection
Sciarrino, F; Cabello, A; Mataloni, P
2010-01-01
It is generally assumed that the violation of a Bell inequality by postselected events cannot be used for loophole-free tests of quantum nonlocality. We show that this is not the case if the postselection is performed locally and without communication between the observers. This permits the adoption of certain setups of locally selected entanglement, which are simpler and more efficient, for long-distance free-space Bell tests. For these setups, we investigate which is the minimum detection efficiency for loophole-free experiments.
Institute of Scientific and Technical Information of China (English)
孔雪伟
2004-01-01
A tiny, two-year-old blonde, recovering from surgical removal (外科切除) of her cancerous left eye, discovers in her mailbox a brightly colored package with a big sticker of hugging bears under a rainbow. Tearing open the box, Belle cries "Mama, look, it's teddy bears! " The bears (and the goodie package of gifts) bring about something that hadn't happened in quite a while: Belle smiles!
Violation of the Leggett-Garg Inequality in Neutrino Oscillations.
Formaggio, J A; Kaiser, D I; Murskyj, M M; Weiss, T E
2016-07-29
The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than 6σ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested. PMID:27517759
Violation of the Leggett-Garg Inequality in Neutrino Oscillations
Formaggio, J. A.; Kaiser, D. I.; Murskyj, M. M.; Weiss, T. E.
2016-07-01
The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than 6 σ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested.
Bell Could Become the Copernicus of Probability
Khrennikov, Andrei
2016-07-01
Our aim is to emphasize the role of mathematical models in physics, especially models of geometry and probability. We briefly compare developments of geometry and probability by pointing to similarities and differences: from Euclid to Lobachevsky and from Kolmogorov to Bell. In probability, Bell could play the same role as Lobachevsky in geometry. In fact, violation of Bell’s inequality can be treated as implying the impossibility to apply the classical probability model of Kolmogorov (1933) to quantum phenomena. Thus the quantum probabilistic model (based on Born’s rule) can be considered as the concrete example of the non-Kolmogorovian model of probability, similarly to the Lobachevskian model — the first example of the non-Euclidean model of geometry. This is the “probability model” interpretation of the violation of Bell’s inequality. We also criticize the standard interpretation—an attempt to add to rigorous mathematical probability models additional elements such as (non)locality and (un)realism. Finally, we compare embeddings of non-Euclidean geometries into the Euclidean space with embeddings of the non-Kolmogorovian probabilities (in particular, quantum probability) into the Kolmogorov probability space. As an example, we consider the CHSH-test.
Paramati, Manjula; Tirumkudulu, Mahesh S.
2016-03-01
A smooth circular moving liquid sheet is formed by the head-on impingement of two equal laminar water jets. We subject such a liquid sheet to uniform laminar air flow from one side such that the direction of air velocity is perpendicular to the liquid sheet. The pressure of the moving air deforms the liquid sheet giving rise to an open water bell. The water bell is symmetric suggesting that the gas flow around the bell is also symmetric and that the gravitational force is negligible. We have captured the shape of the water bells for varying air flow rates and for varying Weber numbers, and compared the measurements with theoretical predictions obtained from a force balance involving liquid inertia, surface tension, and pressure difference across the sheet. The pressure exerted by the gas phase on the front and the rear surface of the deformed liquid sheet is obtained from known results of flow past flat circular discs. The predicted steady state shapes match well with the measurements at low Weber numbers but differences are observed at high Weber numbers, where the sheet flaps and is no longer smooth. Interestingly, the shape predicted by assuming a constant pressure difference equal to the stagnation pressure over the whole of the front face of the sheet and free stream value over the whole of the rear face yields nearly identical results suggesting that an open water bell is similar to a closed water bell in that, to a good approximation, the pressure on either sides of the water bell is homogeneous.
Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons.
Giustina, Marissa; Versteegh, Marijn A M; Wengerowsky, Sören; Handsteiner, Johannes; Hochrainer, Armin; Phelan, Kevin; Steinlechner, Fabian; Kofler, Johannes; Larsson, Jan-Åke; Abellán, Carlos; Amaya, Waldimar; Pruneri, Valerio; Mitchell, Morgan W; Beyer, Jörn; Gerrits, Thomas; Lita, Adriana E; Shalm, Lynden K; Nam, Sae Woo; Scheidl, Thomas; Ursin, Rupert; Wittmann, Bernhard; Zeilinger, Anton
2015-12-18
Local realism is the worldview in which physical properties of objects exist independently of measurement and where physical influences cannot travel faster than the speed of light. Bell's theorem states that this worldview is incompatible with the predictions of quantum mechanics, as is expressed in Bell's inequalities. Previous experiments convincingly supported the quantum predictions. Yet, every experiment requires assumptions that provide loopholes for a local realist explanation. Here, we report a Bell test that closes the most significant of these loopholes simultaneously. Using a well-optimized source of entangled photons, rapid setting generation, and highly efficient superconducting detectors, we observe a violation of a Bell inequality with high statistical significance. The purely statistical probability of our results to occur under local realism does not exceed 3.74×10^{-31}, corresponding to an 11.5 standard deviation effect. PMID:26722905
Disproving the Peres conjecture by showing Bell nonlocality from bound entanglement.
Vértesi, Tamás; Brunner, Nicolas
2014-11-05
Quantum entanglement has a central role in many areas of physics. To grasp the essence of this phenomenon, it is fundamental to understand how different manifestations of entanglement relate to each other. In 1999, Peres conjectured that Bell nonlocality is equivalent to distillability of entanglement. The intuition of Peres was that the non-classicality of an entangled state, as witnessed via Bell inequality violation, implies that pure entanglement can be distilled from this state, hence making it useful for quantum information protocols. Subsequently, the Peres conjecture was shown to hold true in several specific cases, and became a central open question in quantum information theory. Here we disprove the Peres conjecture by showing that an undistillable bipartite entangled state--a bound entangled state--can violate a Bell inequality. Hence Bell nonlocality implies neither entanglement distillability, nor non-positivity under partial transposition. This clarifies the relation between three fundamental aspects of entanglement.
Song, Xinbing; Sun, Yifan; Li, Pengyun; Qin, Hongwei; Zhang, Xiangdong
2015-09-15
We perform Bell's measurement for the non-separable correlation between polarization and orbital angular momentum from the same classical vortex beam. The violation of Bell's inequality for such a non-separable classical correlation has been demonstrated experimentally. Based on the classical vortex beam and non-quantum entanglement between the polarization and the orbital angular momentum, the Hadamard gates and conditional phase gates have been designed. Furthermore, a quantum Fourier transform has been implemented experimentally.
Detection efficiency for loophole-free Bell tests with entangled states affected by colored noise
Canas G.; Barra J.F.; Gomez E.S.; Lima G; Sciarrino F.; Cabello A.
2013-01-01
Loophole-free Bell tests for quantum nonlocality and long-distance secure communication require photodetection efficiencies beyond a threshold eta_{crit} that depends on the Bell inequality and the noise affecting the entangled state received by the distant parties. Most calculations of eta_{crit} assume that the noise is random and can be modeled as white noise. However, most sources suffer from colored noise. Indeed, since entangled states are usually created as a superposition of two possi...
Loophole-free Bell test based on local precertification of photon's presence
Cabello A.; Sciarrino F.
2012-01-01
A loophole-free violation of Bell inequalities is of fundamental importance for demonstrating quantum nonlocality and long-distance device-independent secure communication. However, transmission losses represent a fundamental limitation for photonic loophole-free Bell tests. A local precertification of the presence of the photons immediately before the local measurements may solve this problem. We show that local precertification is feasible by integrating three current technologies: (i) enha...
Loophole-free Bell test for one atom and less than one photon
Sangouard, N; Gisin, N; Rosenfeld, W; Sekatski, P; Weber, M; Weinfurter, H
2011-01-01
We consider the entanglement between two internal states of a single atom and two photon number states describing either the vaccum or a single photon and thus containing, on average, less than one photon. We show that this intriguing entanglement can be characterized through substantial violations of a Bell inequality by performing homodyne detections on the optical mode. We present the experimental challenges that need to be overcome to pave the way towards a loophole-free Bell test in this setup.
Loophole-free Bell test with one atom and less than one photon on average
Sangouard N.; Bancal J.-D.; Gisin N.; Rosenfeld W.; Sekatski P.; Weber M.; Weinfurter H.
2011-01-01
We consider the entanglement between two internal states of a single atom and two photon number states describing either the vaccum or a single photon and thus containing, on average, less than one photon. We show that this intriguing entanglement can be characterized through substantial violations of a Bell inequality by performing homodyne detections on the optical mode. We present the experimental challenges that need to be overcome to pave the way towards a loophole-free Bell test in this...
Loophole-free Bell test with one atom and less than one photon on average
Energy Technology Data Exchange (ETDEWEB)
Sangouard, N.; Bancal, J.-D.; Gisin, N.; Sekatski, P. [Group of Applied Physics, University of Geneva, CH-1211 Geneva 4 (Switzerland); Rosenfeld, W.; Weber, M.; Weinfurter, H. [Fakultat fur Physik, Ludwig-Maximilians-Universitat Munchen, DE-80799 Munchen (Germany)
2011-11-15
We consider the entanglement between two internal states of a single atom and two photon number states describing either the vacuum or a single photon and thus containing, on average, less than one photon. We show that this intriguing entanglement can be characterized through substantial violations of a Bell inequality by performing homodyne detections on the optical mode. We present the experimental challenges that need to be overcome to pave the way toward a loophole-free Bell test.
Entanglement versus Bell violations and their behaviour under local filtering operations
Verstraete, Frank; Wolf, Michael M.
2001-01-01
We discuss the relations between the violation of the CHSH Bell inequality for systems of two qubits on the one side and entanglement of formation, local filtering operations, and the entropy and purity on the other. We calculate the extremal Bell violations for a given amount of entanglement of formation and characterize the respective states, which turn out to have extremal properties also with respect to the entropy, purity and several entanglement monotones. The optimal local filtering op...
Quantum Mechanics: Bell and Quantum Entropy for the Classroom
Pluch, Philipp
2014-01-01
In this article we are willing to give some first steps to quantum mechanics and a motivation of quantum mechanics and its interpretation for undergraduate students not from physics. After a short historical review in the development we discuss philosophical, physical and mathematical interpretation. We define local realism, locality and hidden variable theory which ends up in the EPR paradox, a place where questions on completeness and reality comes into play. The fundamental result of the last century was maybe Bell's that states that local realism is false if quantum mechanics is true. From this fact we can obtain the so called Bell inequalities. After a didactic example of the fact what these inequalities means we describe the key concept of quantum entanglement motivated here by quantum information theory. Also classical entropy and von Neuman entropy is discussed.
Anomalous Postselection in the Hensen et al. Bell Test
Graft, Donald A.
2016-01-01
It is shown that the data of the Hensen et al. Bell test experiment exhibits anomalous postselection that can fully account for the apparent violation of the CHSH inequality. A simulation of a local realist model implementing similar postselection is presented. The model produces an apparent violation of CHSH indistinguishable from that of the experiment. The experimental data also appears to violate no-signaling, and it is shown how postselection can produce an artifactual violation of no-si...
No Fine Theorem for Macrorealism: Limitations of the Leggett-Garg Inequality
Clemente, Lucas; Kofler, Johannes
2016-04-01
Tests of local realism and macrorealism have historically been discussed in very similar terms: Leggett-Garg inequalities follow Bell inequalities as necessary conditions for classical behavior. Here, we compare the probability polytopes spanned by all measurable probability distributions for both scenarios and show that their structure differs strongly between spatially and temporally separated measurements. We arrive at the conclusion that, in contrast to tests of local realism where Bell inequalities form a necessary and sufficient set of conditions, no set of inequalities can ever be necessary and sufficient for a macrorealistic description. Fine's famous proof that Bell inequalities are necessary and sufficient for the existence of a local realistic model, therefore, cannot be transferred to macrorealism. A recently proposed condition, no-signaling in time, fulfills this criterion, and we show why it is better suited for future experimental tests and theoretical studies of macrorealism. Our work thereby identifies a major difference between the mathematical structures of local realism and macrorealism.
Postselection-Loophole-Free Bell Test Over an Installed Optical Fiber Network
Carvacho, Gonzalo; Carine, Jaime; Saavedra, Gabriel; Cuevas, Alvaro; Fuenzalida, Jorge; Toledo, Felipe; Figueroa, Miguel; Cabello, Adan; Larsson, Jan-Åke; Mataloni, Paolo; Lima, Gustavo; Xavier, Guilherme B.
2015-01-01
Device-independent (DI) quantum communication will require a loophole-free violation of Bell inequalities. In typical scenarios where line-of-sight between the communicating parties is not available, it is convenient to use energy-time entangled photons due to intrinsic robustness while propagating over optical fibers. Here we show an energy-time Clauser-Horne-Shimony-Holt Bell inequality violation with two parties separated by 3.7 km over the deployed optical fiber network belonging to the U...
Software Development at Belle II
Kuhr, Thomas; Hauth, Thomas
2015-12-01
Belle II is a next generation B-factory experiment that will collect 50 times more data than its predecessor Belle. This requires not only a major upgrade of the detector hardware, but also of the simulation, reconstruction, and analysis software. The challenges of the software development at Belle II and the tools and procedures to address them are reviewed in this article.
Detection Loophole in Bell experiments: How post-selected local correlations can look non-local
Branciard, Cyril
2010-01-01
A common problem in Bell type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply post-selects the conclusive events, one might observe a violation of a Bell inequality, even though a local model could have explained the experimental results. In this paper, we analyze the set of all post-selected correlations that can be explained by a local model, and show that it forms a polytope, larger than the Bell local polytope. We character...
Minimum detection efficiency for a loophole-free atom-photon Bell experiment
Cabello, Adan; Larsson, Jan-Ake
2007-01-01
In Bell experiments, one problem is to achieve high enough photodetection to ensure that there is no possibility of describing the results via a local hidden-variable model. Using the Clauser-Horne inequality and a two-photon non-maximally entangled state, a photodetection efficiency higher than 0.67 is necessary. Here we discuss atom-photon Bell experiments. We show that, assuming perfect detection efficiency of the atom, it is possible to perform a loophole-free atom-photon Bell experiment ...
Bell's theorem tells us NOT what quantum mechanics IS, but what quantum mechanics IS NOT
Zukowski, Marek
2015-01-01
Non-locality, or quantum-non-locality, are buzzwords in the community of quantum foundation and information scientists, which purportedly describe the implications of Bell's theorem. When such phrases are treated seriously, that is it is claimed that Bell's theorem reveals non-locality as an inherent trait of the quantum description of the micro-world, this leads to logical contradictions, which will be discussed here. In fact, Bell's theorem, understood as violation of Bell inequalities by quantum predictions, is consistent with Bohr's notion of complementarity. Thus, if it points to anything, then it is rather the significance of the principle of Bohr, but even this is not a clear implication. Non-locality is a necessary consequence of Bell's theorem only if we reject complementarity by adopting some form of realism, be it additional hidden variables, additional hidden causes, etc., or counterfactual definiteness. The essay contains two largely independent parts. The first one is addressed to any reader int...
Energy Technology Data Exchange (ETDEWEB)
Hu, Ming-Liang, E-mail: mingliang0301@163.com
2012-09-15
Dynamics of disentanglement as measured by the tripartite negativity and Bell nonlocality as measured by the extent of violation of the multipartite Bell-type inequalities are investigated in this work. It is shown definitively that for the initial three-qubit Greenberger-Horne-Zeilinger (GHZ) or W class state preparation, the Bell nonlocality suffers sudden death under the influence of thermal reservoirs. Moreover, all the Bell-nonlocal states are useful for nonclassical teleportation, while there are entangled states that do not violate any Bell-type inequalities, but still yield nonclassical teleportation fidelity. - Highlights: Black-Right-Pointing-Pointer Comparison of different aspects of quantum correlations. Black-Right-Pointing-Pointer Robustness of the initial tripartite GHZ and W class states against decoherence. Black-Right-Pointing-Pointer Bell-nonlocality sudden death under the influence of thermal reservoir. Black-Right-Pointing-Pointer A nonzero minimum tripartite negativity is needed for nonclassical teleportation. Black-Right-Pointing-Pointer All the Bell-nonlocal states yield nonclassical teleportation fidelity.
Loophole-free Bell test for continuous variables via wave and particle correlations
Ji, Se-Wan; Kim, Jaewan; Lee, Hai-Woong; Zubairy, M. S.; Nha, Hyunchul
2010-01-01
We derive two classes of multi-mode Bell inequalities under local realistic assumptions, which are violated only by the entangled states negative under partial transposition in accordance with the Peres conjecture. Remarkably, the failure of local realism can be manifested by exploiting wave and particle correlations of readily accessible continuous-variable states, with very large violation of inequalities insensitive to detector-efficiency, which makes a strong case for a loophole-free test.
Azuma, Yoshiaki; Herschel I. Grossman
2001-01-01
This paper develops a theoretical model of the inequality in wages and salaries associated with differences in years of schooling (educational inequality, for short). Our model assumes that in the long run individual decisions to become more educated equalize the lifetime earnings of more educated workers and comparable less educated workers. Given this assumption our model implies that innovations that increase the relative demand for more educated labor, and which cause short-run increases ...
Zhan, Xingzhi
2002-01-01
The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.
Bell's palsy before Bell: Cornelis Stalpart van der Wiel's observation of Bell's palsy in 1683.
van de Graaf, Robert C; Nicolai, Jean-Philippe A
2005-11-01
Bell's palsy is named after Sir Charles Bell (1774-1842), who has long been considered to be the first to describe idiopathic facial paralysis in the early 19th century. However, it was discovered that Nicolaus Anton Friedreich (1761-1836) and James Douglas (1675-1742) preceded him in the 18th century. Recently, an even earlier account of Bell's palsy was found, as observed by Cornelis Stalpart van der Wiel (1620-1702) from The Hague, The Netherlands in 1683. Because our current knowledge of the history of Bell's palsy before Bell is limited to a few documents, it is interesting to discuss Stalpart van der Wiel's description and determine its additional value for the history of Bell's palsy. It is concluded that Cornelis Stalpart van der Wiel was the first to record Bell's palsy in 1683. His manuscript provides clues for future historical research.
Eliazar, Iddo
2016-07-01
The study of socioeconomic inequality is of substantial importance, scientific and general alike. The graphic visualization of inequality is commonly conveyed by Lorenz curves. While Lorenz curves are a highly effective statistical tool for quantifying the distribution of wealth in human societies, they are less effective a tool for the visual depiction of socioeconomic inequality. This paper introduces an alternative to Lorenz curves-the hill curves. On the one hand, the hill curves are a potent scientific tool: they provide detailed scans of the rich-poor gaps in human societies under consideration, and are capable of accommodating infinitely many degrees of freedom. On the other hand, the hill curves are a powerful infographic tool: they visualize inequality in a most vivid and tangible way, with no quantitative skills that are required in order to grasp the visualization. The application of hill curves extends far beyond socioeconomic inequality. Indeed, the hill curves are highly effective 'hyperspectral' measures of statistical variability that are applicable in the context of size distributions at large. This paper establishes the notion of hill curves, analyzes them, and describes their application in the context of general size distributions.
Bell's Universe: A Personal Recollection
Bertlmann, Reinhold A.
2016-01-01
My collaboration and friendship with John Bell is recollected. I will explain his outstanding contributions in particle physics, in accelerator physics, and his joint work with Mary Bell. Mary's work in accelerator physics is also summarized. I recall our quantum debates, mention some personal reminiscences, and give my personal view on Bell's fundamental work on quantum theory, in particular, on the concept of contextuality and nonlocality of quantum physics. Finally, I describe the huge inf...
Post-Selection Loophole-Free Bell Test over an Installed Optical Fiber Network
Carvacho, Gonzalo; Saavedra, Gabriel; Cuevas, Álvaro; Fuenzalida, Jorge; Toledo, Felipe; Figueroa, Miguel; Cabello, Adán; Larsson, Jan-Åke; Mataloni, Paolo; Lima, Gustavo; Xavier, Guilherme B
2015-01-01
Device-independent (DI) quantum communication will require a loophole-free violation of Bell inequalities. In typical scenarios where line-of-sight between the communicating parties is not available, it is convenient to use energy-time entangled photons due to intrinsic robustness while propagating over optical fibers. Here we show an energy-time Clauser-Horne-Shimony-Holt Bell inequality violation with two parties separated by 3.7 km over the deployed optical fiber network belonging to the University of Concepci\\'on in Chile. Remarkably, this violation is free of the post-selection loophole affecting all previous in-field long-distance energy-time experiments. Our work takes a further step towards a fiber-based loophole-free Bell test, which is highly desired for secure quantum communication due to the widespread existing telecommunication infrastructure.
Minimum Detection Efficiencies for a Loophole-Free Bell-type Test
Garbarino, G.
2009-01-01
We discuss the problem of finding the most favorable conditions for closing the detection loophole in a test of local realism with a Bell inequality. For a generic non-maximally entangled two-qubit state and two alternative measurement bases we apply Hardy's proof of non-locality without inequality and derive an Eberhard-like inequality. For an infinity of non-maximally entangled states we find that it is possible to refute local realism by requiring perfect detection efficiency for only one ...
Rossing, Thomas D.
2001-05-01
The art of casting bronze bells developed to a high level of sophistication in China during the Shang dynasty (1766-1123 BC). Many chimes of two-tone bells remain from the Western and Eastern Zhou dynasties (1122-249 BC). With the spread of Buddhism from the third century, large round temple bells developed in China and later in Korea, Japan, and other Asian countries. Vibrational modes of some of these bells have been studied by means of holographic interferometry and experimental modal testing. Their musical as well as acoustical properties are discussed.
Realistic loophole-free Bell test with atom-photon entanglement
Teo, Colin; Quintino, Marco Túlio; Minář, Jiří; Cavalcanti, Daniel; Scarani, Valerio; Cunha, Marcelo Terra; Santos, Marcelo França
2012-01-01
The establishment of nonlocal correlations, obtained through the violation of a Bell inequality, is not only important from a fundamental point of view, but constitutes the basis for device-independent quantum information technologies. Although several nonlocality tests have been performed so far, all of them suffered from either the locality or the detection loopholes. Recent studies have suggested that the use of atom-photon entanglement can lead to Bell inequality violations with moderate transmission and detection efficiencies. In this paper we propose an experimental setup realizing a simple atom-photon entangled state that, under realistic experimental parameters available to date, achieves a significant violation of the Clauser-Horn-Shimony-Holt inequality. Most importantly, the violation remains when considering typical detection efficiencies and losses due to required propagation distances.
Bell's palsy before Bell : Cornelis Stalpart van der Wiel's observation of Bell's palsy in 1683
van de Graaf, RC; Nicolai, JPA
2005-01-01
Bell's palsy is named after Sir Charles Bell (1774-1842), who has long been considered to be the first to describe idiopathic facial paralysis in the early 19th century. However, it was discovered that Nicolaus Anton Friedreich (1761-1836) and James Douglas (1675-1742) preceded him in the 18th centu
Violation of Bell inequalities through the coincidence-time loophole
Morgan, Peter
2008-01-01
The coincidence-time loophole was identified by Larsson & Gill (Europhys. Lett. 67, 707 (2004)); a concrete model that exploits this loophole has recently been described by De Raedt et al. (Found. Phys., to appear). It is emphasized here that De Raedt et al.'s model is experimentally testable. De Raedt et al.'s model also introduces contextuality in a novel and classically more natural way than the use of contextual particle properties, by introducing a probabilistic model of a limited set of...
Security and Composability of Randomness Expansion from Bell Inequalities
Fehr, Serge; Schaffner, Christian
2011-01-01
The nonlocal behavior of quantum mechanics enables to generate guaranteed fresh randomness from an untrusted device that consists of two nonsignalling components. Since the generation process requires some initial fresh randomness to act as a catalyst, one also speaks of randomness expansion. Previous works showed the freshness of the generated randomness only for an adversary that holds no quantum side information, or, equivalently, has measured all quantum side information before the randomness is generated by the device. Thus, until now it was unclear if and how much fresh randomness can be generated by an untrusted device in the presence of an adversary that maintains a quantum state. In this work, we show that security against quantum side information comes "for free". Specifically, we show that with the same procedure, the very same amount of randomness can be generated in the presence of quantum side information as can be generated without any (quantum or classical) side information. Our result on the ...
DEFF Research Database (Denmark)
Mandersheid, Katharina; Richardson, Tim
2011-01-01
While traces and techniques of power and contestation around the understanding and production of spaces are clearly recognized in the sociological and planning research literature, there has been little rigorous attention to how socio-spatial inequality is put at stake in strategic mobilization...... around particular spatial imaginaries. In an analysis of the German Spatial Planning Report, the paper examines how inequalities are represented in relation to space and movement in spatial strategy. The analysis shows how, in the report, the spatial dimension of the social is represented...... is represented as something outside and fluid which is meant to be channelled into the territorial containers by means of regional development and spatial planning. These representations of the social suggest a territorialized culturally integrated society as the unquestioned frame of reference which has lost...
Eliazar, Iddo
2016-09-01
Living in the era of "big-data" information, we are ubiquitously inundated by overabundances of sizes-non-negative numerical values representing count, score, length, area, volume, duration, mass, energy, etc. Datasets of sizes display numerous types of statistical variability that are commonly quantified either by the standard deviation, or by the Boltzmann-Gibbs-Shannon entropy. The standard deviation measures the sizes' Euclidean divergence from their mean, the Boltzmann-Gibbs-Shannon entropy measures the sizes' informational divergence from the benchmark of pure determinism, and both these gauges are one-dimensional. In this paper we overview a methodology that harnesses inequality in order to quantify statistical variability. The methodology follows a socioeconomic approach of measuring the sizes' inequality-their divergence from the benchmark of pure egalitarianism-and yields frameworks that gauge statistical variability in a multi-dimensional fashion. The aim of this overview is to serve both researchers and practitioners as a crash-introduction to the "harnessing inequality" methodology, and as a crash-manual to the implementation of this methodology.
Directory of Open Access Journals (Sweden)
Raquel Sosa Elízaga
2012-07-01
Full Text Available The global sociology currently faces one of its greatest challenges: to contribute to the debate about the most serious problem which all societies have faced in recent years. The rising inequality has led to many initiatives for reflection, discussion and evaluation of public policies in order to combat poverty. Particularly, the fact that the Millennium Goals are supposed to accomplish their significance by 2015 provides the International Sociological Association (ISA the unique opportunity to contribute to those goals through their own analyses and proposals. Over many years, the ISA has promoted the integrated debate of its members on issues related to inequalities: from different perspectives such as education, health, social movements, public policies, gender problems and violence, among others. The overlapping and accumulation of inequalities has been, so to speak, the natural environment from which the ISA can take part in this international debate. This article identifies the work lines approved in the Association Program Committee Meeting held in Mexico in 2011, in the process of theAssociation’s Congress in Yokohama in 2014.
Necessary and sufficient conditions for multipartite Bell violations with only one trusted device
Taddei, M. M.; Nery, R. V.; Aolita, L.
2016-09-01
We study multipartite Bell nonlocality in a framework native of multipartite Einstein-Podolsky-Rosen (EPR) steering scenarios with a single trusted measurement device. We derive a closed-form necessary and sufficient criterion for systems composed of a qubit and N -1 untrusted black-box measurement devices to violate, under general dichotomic measurements on the qubit, a generic Bell inequality from a broad family of linear inequalities with arbitrarily many outputs for the N -1 untrusted devices and inputs for all N parties. The optimal quantum measurements for maximal violation are also obtained. For two users and two inputs and two outputs per user, our criterion becomes necessary and sufficient for Bell nonlocality. Furthermore, in that setting, its form generalizes recently obtained steering inequalities, which allows us to provide useful feedback from nonlocality to the detection of steering. Our findings constitute a practical tool for the study of the interplay between EPR steering and Bell nonlocality, with potential applications in multipartite information processing.
Belle II Technical Design Report
Abe, T; Adamczyk, K; Ahn, S; Aihara, H; Akai, K; Aloi, M; Andricek, L; Aoki, K; Arai, Y; Arefiev, A; Arinstein, K; Arita, Y; Asner, D M; Aulchenko, V; Aushev, T; Aziz, T; Bakich, A M; Balagura, V; Ban, Y; Barberio, E; Barvich, T; Belous, K; Bergauer, T; Bhardwaj, V; Bhuyan, B; Blyth, S; Bondar, A; Bonvicini, G; Bozek, A; Bracko, M; Brodzicka, J; Brovchenko, O; Browder, T E; Cao, G; Chang, M -C; Chang, P; Chao, Y; Chekelian, V; Chen, A; Chen, K -F; Chen, P; Cheon, B G; Chiang, C -C; Chistov, R; Cho, K; Choi, S -K; Chung, K; Comerma, A; Cooney, M; Cowley, D E; Critchlow, T; Dalseno, J; Danilov, M; Dieguez, A; Dierlamm, A; Dillon, M; Dingfelder, J; Dolenec, R; Dolezal, Z; Drasal, Z; Drutskoy, A; Dungel, W; Dutta, D; Eidelman, S; Enomoto, A; Epifanov, D; Esen, S; Fast, J E; Feindt, M; Garcia, M Fernandez; Fifield, T; Fischer, P; Flanagan, J; Fourletov, S; Fourletova, J; Freixas, L; Frey, A; Friedl, M; Fruehwirth, R; Fujii, H; Fujikawa, M; Fukuma, Y; Funakoshi, Y; Furukawa, K; Fuster, J; Gabyshev, N; Cueto, A Gaspar de Valenzuela; Garmash, A; Garrido, L; Geisler, Ch; Gfall, I; Goh, Y M; Golob, B; Gorton, I; Grzymkowski, R; Guo, H; Ha, H; Haba, J; Hara, K; Hara, T; Haruyama, T; Hayasaka, K; Hayashi, K; Hayashii, H; Heck, M; Heindl, S; Heller, C; Hemperek, T; Higuchi, T; Horii, Y; Hou, W -S; Hsiung, Y B; Huang, C -H; Hwang, S; Hyun, H J; Igarashi, Y; Iglesias, C; Iida, Y; Iijima, T; Imamura, M; Inami, K; Irmler, C; Ishizuka, M; Itagaki, K; Itoh, R; Iwabuchi, M; Iwai, G; Iwai, M; Iwasaki, M; Iwasaki, M; Iwasaki, Y; Iwashita, T; Iwata, S; Jang, H; Ji, X; Jinno, T; Jones, M; Julius, T; Kageyama, T; Kah, D H; Kakuno, H; Kamitani, T; Kanazawa, K; Kapusta, P; Kataoka, S U; Katayama, N; Kawai, M; Kawai, Y; Kawasaki, T; Kennedy, J; Kichimi, H; Kikuchi, M; Kiesling, C; Kim, B K; Kim, G N; Kim, H J; Kim, H O; Kim, J -B; Kim, J H; Kim, M J; Kim, S K; Kim, K T; Kim, T Y; Kinoshita, K; Kishi, K; Kisielewski, B; van Dam, K Kleese; Knopf, J; Ko, B R; Koch, M; Kodys, P; Koffmane, C; Koga, Y; Kohriki, T; Koike, S; Koiso, H; Kondo, Y; Korpar, S; Kouzes, R T; Kreidl, Ch; Kreps, M; Krizan, P; Krokovny, P; Krueger, H; Kruth, A; Kuhn, W; Kuhr, T; Kumar, R; Kumita, T; Kupper, S; Kuzmin, A; Kvasnicka, P; Kwon, Y -J; Lacasta, C; Lange, J S; Lee, I -S; Lee, M J; Lee, M W; Lee, S -H; Lemarenko, M; Li, J; Li, W D; Li, Y; Libby, J; Limosani, A; Liu, C; Liu, H; Liu, Y; Liu, Z; Liventsev, D; Virto, A Lopez; Makida, Y; Mao, Z P; Marinas, C; Masuzawa, M; Matvienko, D; Mitaroff, W; Miyabayashi, K; Miyata, H; Miyazaki, Y; Miyoshi, T; Mizuk, R; Mohanty, G B; Mohapatra, D; Moll, A; Mori, T; Morita, A; Morita, Y; Moser, H -G; Martin, D Moya; Mueller, T; Muenchow, D; Murakami, J; Myung, S S; Nagamine, T; Nakamura, I; Nakamura, T T; Nakano, E; Nakano, H; Nakao, M; Nakazawa, H; Nam, S -H; Natkaniec, Z; Nedelkovska, E; Negishi, K; Neubauer, S; Ng, C; Ninkovic, J; Nishida, S; Nishimura, K; Novikov, E; Nozaki, T; Ogawa, S; Ohmi, K; Ohnishi, Y; Ohshima, T; Ohuchi, N; Oide, K; Olsen, S L; Ono, M; Ono, Y; Onuki, Y; Ostrowicz, W; Ozaki, H; Pakhlov, P; Pakhlova, G; Palka, H; Park, H; Park, H K; Peak, L S; Peng, T; Peric, I; Pernicka, M; Pestotnik, R; Petric, M; Piilonen, L E; Poluektov, A; Prim, M; Prothmann, K; Regimbal, K; Reisert, B; Richter, R H; Riera-Babures, J; Ritter, A; Ritter, A; Ritter, M; Roehrken, M; Rorie, J; Rosen, M; Rozanska, M; Ruckman, L; Rummel, S; Rusinov, V; Russell, R M; Ryu, S; Sahoo, H; Sakai, K; Sakai, Y; Santelj, L; Sasaki, T; Sato, N; Sato, Y; Scheirich, J; Schieck, J; Schwanda, C; Schwartz, A J; Schwenker, B; Seljak, A; Senyo, K; Seon, O -S; Sevior, M E; Shapkin, M; Shebalin, V; Shen, C P; Shibuya, H; Shiizuka, S; Shiu, J -G; Shwartz, B; Simon, F; Simonis, H J; Singh, J B; Sinha, R; Sitarz, M; Smerkol, P; Sokolov, A; Solovieva, E; Stanic, S; Staric, M; Stypula, J; Suetsugu, Y; Sugihara, S; Sugimura, T; Sumisawa, K; Sumiyoshi, T; Suzuki, K; Suzuki, S Y; Takagaki, H; Takasaki, F; Takeichi, H; Takubo, Y; Tanaka, M; Tanaka, S; Taniguchi, N; Tarkovsky, E; Tatishvili, G; Tawada, M; Taylor, G N; Teramoto, Y; Tikhomirov, I; Trabelsi, K; Tsuboyama, T; Tsunada, K; Tu, Y -C; Uchida, T; Uehara, S; Ueno, K; Uglov, T; Unno, Y; Uno, S; Urquijo, P; Ushiroda, Y; Usov, Y; Vahsen, S; Valentan, M; Vanhoefer, P; Varner, G; Varvell, K E; Vazquez, P; Vila, I; Vilella, E; Vinokurova, A; Visniakov, J; Vos, M; Wang, C H; Wang, J; Wang, M -Z; Wang, P; Wassatch, A; Watanabe, M; Watase, Y; Weiler, T; Wermes, N; Wescott, R E; White, E; Wicht, J; Widhalm, L; Williams, K M; Won, E; Xu, H; Yabsley, B D; Yamamoto, H; Yamaoka, H; Yamaoka, Y; Yamauchi, M; Yin, Y; Yoon, H; Yu, J; Yuan, C Z; Yusa, Y; Zander, D; Zdybal, M; Zhang, Z P; Zhao, J; Zhao, L; Zhao, Z; Zhilich, V; Zhou, P; Zhulanov, V; Zivko, T; Zupanc, A; Zyukova, O
2010-01-01
The Belle detector at the KEKB electron-positron collider has collected almost 1 billion Y(4S) events in its decade of operation. Super-KEKB, an upgrade of KEKB is under construction, to increase the luminosity by two orders of magnitude during a three-year shutdown, with an ultimate goal of 8E35 /cm^2 /s luminosity. To exploit the increased luminosity, an upgrade of the Belle detector has been proposed. A new international collaboration Belle-II, is being formed. The Technical Design Report presents physics motivation, basic methods of the accelerator upgrade, as well as key improvements of the detector.
Causarum Investigatio and the Two Bell's Theorems of John Bell
Wiseman, Howard M
2015-01-01
"Bell's theorem" can refer to two different theorems that John Bell proved, the first in 1964 and the second in 1976. His 1964 theorem is the incompatibility of quantum phenomena with the joint assumptions of Locality and Predetermination. His 1976 theorem is their incompatibility with the single property of Local Causality. This is contrary to Bell's own later assertions, that his 1964 theorem began with the assumption of Local Causality, even if not by that name. Although the two Bell's theorems are logically equivalent, their assumptions are not. Hence, the earlier and later theorems suggest quite different conclusions, embraced by operationalists and realists, respectively. The key issue is whether Locality or Local Causality is the appropriate notion emanating from Relativistic Causality, and this rests on one's basic notion of causation. For operationalists the appropriate notion is what is here called the Principle of Agent-Causation, while for realists it is Reichenbach's Principle of common cause. By...
The Trieste Lecture of John Stewart Bell
Bassi, Angelo; Carlo Ghirardi, Gian
2007-03-01
included a picture (figure 1) shown by him, taking it from the tape image which is of rather poor quality (we apologize for this) and three figures taken from his transparencies. Moreover, to help the reader in grasping the various points John Stewart Bell brilliantly raised in his talk we have divided the paper into six sections whose titles have been chosen by us to summarize the most crucial points of his argument. Presentation by the Chairman, Alain Aspect It is a great pleasure and an honour to introduce Professor Bell. When looking to my old papers I discovered that this 25th anniversary of the ICTP also coincides with the famous paper in which appeared, for the first time, inequalities that are now known as Bell's inequalities so it's a very good opportunity to have a talk by John Bell here. Many of us have been strongly influenced by this work of John Bell because he has shown us that quantum mechanics is much more difficult to understand that we thought it was. I am sure that today he will again raise some questions which are very embarrassing but that we have definitely to face.
The Trieste Lecture of John Stewart Bell
Energy Technology Data Exchange (ETDEWEB)
Bassi, Angelo; Ghirardi, GianCarlo
2007-03-23
. We have included a picture (figure 1) shown by him, taking it from the tape image which is of rath er poor quality (we apologize for this) and three figures taken from his transparencies. Moreover, to help the reader in grasping the various points John Stewart Bell brilliantly raised in his talk we have divided the paper into six sections whose titles have been chosen by us to summarize the most crucial points of his argument. Presentation by the Chairman, Alain Aspect It is a great pleasure and an honour to introduce Professor Bell. When looking to my old papers I discovered that this 25th anniversary of the ICTP also coincides with the famous paper in which appeared, for the first time, inequalities that are now known as Bell's inequalities so it's a very good opportunity to have a talk by John Bell here. Many of us have been strongly influenced by this work of John Bell because he has shown us that quantum mechanics is much more difficult to understand that we thought it was. I am sure that today he will again raise some questions which are very embarrassing but that we have definitely to face.
Deterministically distinguishing a remote Bell state
Institute of Scientific and Technical Information of China (English)
Zhao Zhi-Guo; Peng Wei-Min; Tan Yong-Gang
2011-01-01
It has been proven that, with a single copy provided, the four Bell states cannot be distinguished by local operations and classical communications (LOCC). Traditionally, a Bell basis projective measurement is needed to distinguish the four Bell states, which is usually carried out with a local interference between two particles. This paper presents an interesting protocol that allows two remote parties to distinguish four Bell states deterministically. We prove that our protocol of distinguishing remote Bell states is beyond LOCC.
Hooghiemstra, G.; Van Mieghem, P.
2015-01-01
In this article Gerard Hooghiemstra and Piet van Mieghem explain why the Gauss inequality is overshadowed by the Chebychev inequality. Furthermore, they present a proof of the Gauss inequality in modern notation.
Energy Technology Data Exchange (ETDEWEB)
Bertlmann, Reinhold A.
2015-07-15
John Bell, with whom I had a fruitful collaboration and warm friendship, is best known for his seminal work on the foundations of quantum physics, but he also made outstanding contributions to particle physics and accelerator physics.
Bell Numbers, Determinants and Series
Indian Academy of Sciences (India)
P K Saikia; Deepak Subedi
2013-05-01
In this article, we study Bell numbers and Uppuluri Carpenter numbers. We obtain various expressions and relations between them. These include polynomial recurrences and expressions as determinants of certain matrices of binomial coefficients.
Bell's Palsy (Beyond the Basics)
... changes caused by Bell's palsy will affect the appearance of your face, including how you smile. These ... are comfortable with some medical jargon. Patient information: Genital herpes (Beyond the Basics) Patient information: Shingles (Beyond ...
International Nuclear Information System (INIS)
John Bell, with whom I had a fruitful collaboration and warm friendship, is best known for his seminal work on the foundations of quantum physics, but he also made outstanding contributions to particle physics and accelerator physics
Francesco Poppi
2010-01-01
During the Nobel prize-winning UA1 experiment, scientists in the control room used to ring a bell if a particularly interesting event had occurred. Today, the “CMS Exotica hotline” routine produces a daily report that lists the exotic events that were recorded the day before. Display of an event selected by the Exotica routine. Take just a very small fraction of the available data (max. 5%); define the events that you want to keep and set the parameters accordingly; run the Exotica routine and only look at the very few images that the system has selected for you. This is the recipe that a small team of CMS researchers has developed to identify the signals coming from possible new physics processes. “This approach does not replace the accurate data analysis on the whole set of data. However, it is a very fast and effective way to focus on just a few events that are potentially very interesting”, explains Maurizio Pierini (CERN), who developed the...
Reconciling consumption inequality with income inequality
V. Lepetyuk; C.A. Stoltenberg
2013-01-01
The rise in within-group consumption inequality in response to the increase in within-group income inequality over the last three decades in the U.S. is puzzling to expected-utility-based incomplete market models. The two-sided lack of commitment models exhibit too little consumption inequality whil
Reconciling consumption inequality with income inequality
V. Lepetyuk; C.A. Stoltenberg
2012-01-01
The rise in consumption inequality in response to the increase in income inequality over the last three decades in the U.S. is puzzling to expected-utility-based incomplete market models. The two-sided lack of commitment models exhibit too little consumption inequality while the standard incomplete
Directory of Open Access Journals (Sweden)
Anna Maria D'Aristotile
2006-08-01
Full Text Available We consider sets of inequalities in Real Analysis and construct a topology such that inequalities usually called "limit cases" of certain sequences of inequalities are in fact limits - in the precise topological sense - of such sequences. To show the generality of the results, several examples are given for the notions introduced, and three main examples are considered: Sequences of inequalities relating real numbers, sequences of classical Hardy's inequalities, and sequences of embedding inequalities for fractional Sobolev spaces. All examples are considered along with their limit cases, and it is shown how they can be considered as sequences of one "big" space of inequalities. As a byproduct, we show how an abstract process to derive inequalities among homogeneous operators can be a tool for proving inequalities. Finally, we give some tools to compute limits of sequences of inequalities in the topology introduced, and we exhibit new applications.
Takahiro Akita; Alit Pirmansah
2011-01-01
According to an inequality decomposition analysis by urban and rural sectors in Indonesia, urban inequality's contribution to overall inequality in per capita household expenditure has been increasing steadily with widening urban inequality and urbanization proceeding following globalization and financial/trade liberalization. According to the Theil T index, the contribution rose from 54% to 63% during the 1996-2002 period. Urban inequality is expected to play a more important role in overall...
International Nuclear Information System (INIS)
A common problem in Bell-type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply postselects the conclusive events, one might observe a violation of a Bell inequality, even though a local model could have explained the experimental results. In this paper, we analyze the set of all postselected correlations that can be explained by a local model, and show that it forms a polytope, larger than the Bell local polytope. We characterize the facets of this postselected local polytope in the Clauser-Horne-Shimony-Holt scenario, where two parties have binary inputs and outcomes. Our approach gives interesting insights on the detection loophole problem.
Detection Loophole in Bell experiments: How post-selected local correlations can look non-local
Branciard, Cyril
2010-01-01
A common problem in Bell type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply post-selects the conclusive events, one might observe a violation of a Bell inequality, even though a local model could have explained the experimental results. In this paper, we analyze the set of all post-selected correlations that can be explained by a local model, and show that it forms a polytope, larger than the Bell local polytope. We characterize the facets of this post-selected local polytope in the CHSH scenario, where two parties have binary inputs and outcomes. Our approach gives new insights on the detection loophole problem.
Bell's theorem, accountability and nonlocality
International Nuclear Information System (INIS)
Bell's theorem is a fundamental theorem in physics concerning the incompatibility between some correlations predicted by quantum theory and a large class of physical theories. In this paper, we introduce the hypothesis of accountability, which demands that it is possible to explain the correlations of the data collected in many runs of a Bell experiment in terms of what happens in each single run. Under this assumption, and making use of a recent result by Colbeck and Renner (2011 Nature Commun. 2 411), we then show that any nontrivial account of these correlations in the form of an extension of quantum theory must violate parameter independence. Moreover, we analyze the violation of outcome independence of quantum mechanics and show that it is also a manifestation of nonlocality. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell's theorem’. (paper)
Charmonium and exotics from Belle
Wang, Xiaolong
2015-01-01
The recent results on charmonium and charmoniumlike states from Belle experiment are reviewed. We summarise searches in $B$ decays for possible $X$-like states in final states containing $\\eta_c$. The new measurement of $e^+e^-\\to\\pi^+\\pi^-\\psi(2S)$ improves the determination of the properties of $Y(4360)$ and $Y(4660)$. The fits including $Y(4260)$ are performed. Evidence for a charged charmoniumlike structure at $4.05~{\\rm GeV}/c^2$ is observed in the $\\pi^{\\pm}\\psi(2S)$ intermediate state in the $Y(4360)$ decays. Belle also updates the measurement on $e^+e^-\\to KKJ/\\psi$ via initial state radiation using the full data sample. Finally, Belle observed $X(3872)$ in $B\\to K\\pi + X(\\to\\pi^+\\pi^-J/\\psi)$.
Optical Bell Measurement by Fock Filtering
Paris, M G A; Jonathan, D; Bose, S; D'Ariano, G M; Paris, MGA
2000-01-01
We describe a nonlinear interferometric setup to perform a complete optical Bell measurement, i.e. to unambigously discriminate the four polarization entangled EPR-Bell photon pairs. The scheme is robust against detector inefficiency.
John Bell and the Identical Twins
1984-01-01
A biographical profile of John S.Bell is presented based on extensive interviews the author had with Bell. Bell’s vierws on the quantum theory are presented along with a simple explanation of his idenity.
Proposal for a loophole-free Bell test based on spin-photon interactions in cavities
Brunner, Nicolas; Young, Andrew B.; Hu, Chengyong; Rarity, John G.
2013-01-01
We present a scheme to demonstrate loophole-free Bell inequality violation where the entanglement between photon pairs is transferred to solid state (spin) qubits mediated by cavity QED interactions. As this transfer can be achieved in a heralded way, our scheme is basically insensitive to losses on the channel, and works also in the weak coupling regime. We consider potential experimental realizations using single atom, colour centre and quantum dot cavity systems. Finally our scheme appears...
Robust long-distance entanglement and a loophole-free Bell test with ions and photons
Simon, Christoph; Irvine, William T M
2003-01-01
Two trapped ions that are kilometers apart can be entangled by the joint detection of two photons, each coming from one of the ions, in a basis of entangled states. Such a detection is possible with linear optical elements. The use of two-photon interference allows entanglement distribution without interferometric sensitivity to the path length of the photons. The present method of creating entangled ions also opens up the possibility of a loophole-free test of Bell's inequalities.
Nonlocality, No-Signalling and Bell's Theorem investigated by Weyl's Conformal Differential Geometry
De Martini, Francesco; Santamato, Enrico
2014-01-01
The principles and methods of the Conformal Quantum Geometrodynamics (CQG) based on the Weyl's differential geometry are presented. The theory applied to the case of the relativistic single quantum spin 1/2 leads a novel and unconventional derivation of Dirac's equation. The further extension of the theory to the case of two spins 1/2 in EPR entangled state and to the related violation of Bell's inequalities leads, by an exact albeit non relativistic analysis, to an insightful resolution of a...
Energy Technology Data Exchange (ETDEWEB)
Cinabro, David [Wayne State Univ., Detroit, MI (United States)
2016-01-01
The major goals of our work on Belle II were to complete our contributions, a 64 channel PIN diode based radiation monitor, to the precursor detector called Beast II and the electronics for the endcap K-Long/Muon (E-KLM) detector. This was done by Professor Cinabro, Technician Gutierrez, and undergraduate labor supported by US-Japan funds. Professor Bonvicini through US-Japan funds led the development and installation of a beamstrahlung monitor system in the Belle II interaction region. Graduate students Farhat and DiCarlo worked on this. We also worked on charm physics analysis.
Nonlocality, Bell's Ansatz and Probability
Kracklauer, A F
2006-01-01
Quantum Mechanics lacks an intuitive interpretation, which is the cause of a generally formalistic approach to its use. This in turn has led to a certain insensitivity to the actual meaning of many words used in its description and interpretation. Herein, we analyze carefully the possible meanings of those terms used in analysis of EPR's contention, that Quantum Mechanics is incomplete, as well as Bell's work descendant therefrom. As a result, many inconsistencies and errors in contemporary discussions of nonlocality, as well as in Bell's Ansatz with respect to the laws of probability, are identified. Evading these errors precludes serious conflicts between Quantum Mechanics and Special Relativity and Philosophy.
2010-07-01
... 33 Navigation and Navigable Waters 1 2010-07-01 2010-07-01 false Belle River. 117.424 Section 117... OPERATION REGULATIONS Specific Requirements Louisiana § 117.424 Belle River. The draw of the S70 bridge, mile 23.8 (Landside Route) near Belle River, shall open on signal; except that, from 10 p.m. to 6...
Bells: the past and the present
Institute of Scientific and Technical Information of China (English)
Smirnova; O.; G.; Lisovskaya; O.; B.; Lisovskiy; V.; A.
2005-01-01
Bell is a part of history of Russia, a work of founding craft and art, a musical instrument. Myths and legends that arose around the bell casting craft and its ‘material base' the bell alloy are of considerable research interest.……
Bells: the past and the present
Institute of Scientific and Technical Information of China (English)
无
2005-01-01
@@ Bell is a part of history of Russia, a work of founding craft and art, a musical instrument. Myths and legends that arose around the bell casting craft and its ‘material base' the bell alloy are of considerable research interest.
2010-04-01
... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Bell Mountain. 9.55... Mountain. (a) Name. The name of the viticultural area described in this section is “Bell Mountain.” (b) Approved map. The appropriate map for determining the boundaries of the Bell Mountain viticultural area...
Moment Inequality and Holder Inequality for BSDEs
Institute of Scientific and Technical Information of China (English)
Sheng-jun Fan
2009-01-01
Under the Lipschitz and square integrable assumptions on the generator g of BSDEs,this paper proves that if g is positively homogeneous in(y,z)and is decreasing in y,then the Moment inequality for BSDEs with generator g holds in general,and if g is positively homogeneous and sub-additive in(y,z),then the Holder inequality and Minkowski inequality for BSDEs with generator g hold in general.
Houston, Paul
1996-01-01
Selfishness has spawned a new breed of racism, driven by fear, fed by scarcity, and manifested through economic imperatives. California's Proposition 187 and Herrnstein and Murray's book "The Bell Curve" are built on racist foundations. Our current obsession with race is driven by an economy and an elitist social system that is dismantling the…
Clusters of Bell's palsy "Surtos" da paralisia de Bell
Directory of Open Access Journals (Sweden)
Thiago D. Gonçalves-Coêlho
1997-01-01
Full Text Available The idiopathic facial paralysis or Bell's palsy installs abruptly or within a few hours, without any apparent cause. It corresponds to approximately 75% of all peripheral facial palsies. Three theories try to explain its pathogenecity: vascular-ischemic, viral and auto-immune. We reviewed the records of the EMG Sector, Hospital do Servidor Público Estadual (São Paulo, Brazil, from 1985 to 1995 and found 239 cases of Bell's palsy. Data were analysed according to age, gender, seasonal distribution of cases. There was a predominance of cases in the 31 - 60 age bracket (40.59 %. The female gender was responsible to 70.71 % of cases. There was a predominance of cases in winter (31.38 % and autumn (30.13 %, which was statiscally significant. These findings let us to suppose that Bell's palsy predominates in females, in 41-60 years age bracket, and occurs predominantly in cold months. There are groups of clusters throughout temporal distribution of cases and cases are dependent on one each other or on factors affecting them all, which reinforces the infectious hypothesis (there is a rise in the incidence of viral upper respiratory tract infection during cold months.A paralisia facial idiopática ou paralisia de Bell se instala abruptamente ou em algumas horas, sem causa aparente. Corresponde a aproximadamente 75% de todos os casos de paralisia facial. Três teorias tentam explicar sua patogenia: vásculo-isquêmica, autoimune e viral. Nós revisamos os arquivos do Setor de Eletromiografia do Hospital do Servidor Público Estadual (São Paulo de 1985 a 1995, encontrando 239 casos de paralisia de Bell. Dados foram analisados quanto a idade, sexo, distribuição sazonal. Houve predominância dos casos na faixa etária de 31 a 60 anos (40,59 %. O sexo feminino foi responsável por 70,71 % dos casos. Houve predominância de casos no inverno (31,38 % e outono (30,13 %, estatisticamente sigmficante. Estes achados levam-nos a supor que a paralisia de Bell
Mills, Melinda
2009-01-01
Globalization is increasingly linked to inequality, but with often divergent and polarized findings. Some researchers show that globalization accentuates inequality both within and between countries. Others maintain that these claims are patently incorrect, arguing that globalization has disintegrat
Globalisation, inequality and redistribution
Cappelen, Alexander W.; Bjorvatn, Kjetil
2004-01-01
The present paper seeks to explain the pattern of income redistribution in a globalised world of increased market income inequality and lower costs of factor mobility. In some countries, larger market income inequality has been met by an increased redistributive effort, thus keeping the distribution of disposable incomes relatively stable. In other countries, larger market inequality has been accompanied by a reduction in transfers, thus leading to growth in disposable income inequality. In o...
John Hassler; José Vicente Rodríguez Mora; Joseph Zeira
2003-01-01
We use a general equilibrium OLG model to analyse the relation between intergenerational social mobility and wage inequality. We show that the correlation between mobility and inequality depends on which factor caused the change in inequality. The model can thus help discriminate between different competing explanations of the recent rise in US wage inequality. Under reasonable assumptions, skill-biased technical change tends to increase upward mobility, thereby causing a positive correlation...
Rodriguez Mora, Sevi; Hassler, John; Zeira, Joseph
2007-01-01
We use a general equilibrium OLG model to analyse the relation between intergenerational social mobility and wage inequality. We show that the correlation between mobility and inequality depends on which factor caused the change in inequality. The model can thus help discriminate between different competing explanations of the recent rise in US wage inequality. Under reasonable assumptions, skill-biased technical change tends to increase upward mobility, thereby causing a positive correlation...
Economic inequality, an introduction.
Maurizio Franzini; Mario Pianta
2011-01-01
In this paper we offer an introductory exploration of inequality, considering how political economy has analysed economic inequality. Its roots in market processes and in the functional distribution of income are investigated, considering the role of human capital, technological change and globalisation, and the relevance of intergenerational inequalities. We then consider the impact that public policies can have on inequalities through taxation, welfare expenditures, the provision of public ...
Inequality Fragility Hypothesis
DRAGOE Sebastian-Ilie
2016-01-01
The last four decades have been marked by growing inequality. The inequality of income and wealth is one of the most important macroeconomic issues of our time. Inequality contributed to Global Savings Glut and Global Financial Crisis through riskiness channel and a greater propensity to borrow for poor people. This paper presents evidence that besides structural factors, monetary policy, high leverage and the development of new money substitutes are critical in explaining the inequality tren...
Inequality in historical perspective
Jolly, Richard
2006-01-01
Adam Smith, Tom Paine, John Stuart Mill and Karl Marx were all bold and outspoken about the injustices of extreme inequality, nationally and internationally. Yet by almost every standard, global inequality has grown substantially since they were writing, and national income inequality also over the last two or three decades. There is a case today for more outspokenness about the extremes of inequality, both about the causes and how these causes are linked to extreme injustices in the past.
Directory of Open Access Journals (Sweden)
G. D. Handley
2000-12-01
Full Text Available In this paper we obtain a new inequality of Hilbert type for a finite number of nonnegative sequences of real numbers from which we can recover as a special case an inequality due to Pachpatte. We also obtain an integral variant of the inequality.
Graphing Inequalities, Connecting Meaning
Switzer, J. Matt
2014-01-01
Students often have difficulty with graphing inequalities (see Filloy, Rojano, and Rubio 2002; Drijvers 2002), and J. Matt Switzer's students were no exception. Although students can produce graphs for simple inequalities, they often struggle when the format of the inequality is unfamiliar. Even when producing a correct graph of an…
An asymmetric Kadison's inequality
Bourin, Jean-Christophe
2010-01-01
Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation.
Minimum detection efficiencies for a loophole-free observable-asymmetric Bell-type test
International Nuclear Information System (INIS)
We discuss the problem of finding the most favorable conditions for closing the detection loophole in a test of local realism with a Bell inequality. For a generic nonmaximally entangled two-qubit state and two incompatible bases to be adopted for alternative measurements of two observables a and b on each party, we apply Hardy's proof of nonlocality without inequality and derive an Eberhard-like inequality. For an infinity of nonmaximally entangled states we find that it is possible to refute local realism by requiring perfect detection efficiency for only one of the two observables, say b, to be measured on each party: The test is free from the detection loophole for any value of the detection efficiency corresponding to the other observable a. The maximum tolerable noise in such a loophole-free observable-asymmetric test is also evaluated.
De Raedt, Hans; Hess, Karl
2016-01-01
John Bell is generally credited to have accomplished the remarkable "proof" that any theory of physics, which is both Einstein-local and "realistic" (counterfactually definite), results in a strong upper bound to the correlations that are measured in space and time. He thus predicts that Einstein-Podolsky-Rosen experiments cannot violate Bell- type inequalities. We present a counterexample to this claim, based on discrete-event computer simulations. Our model-results fully agree with the predictions of quantum theory for Einstein-Podolsky-Rosen-Bohm experiments and are free of the detection- or a coincidence-loophole.
Bell Palsy and Acupuncture Treatment
Directory of Open Access Journals (Sweden)
Betul Battaloglu Inanc
2013-08-01
A 22-year-old female patient, a midwifery student, had treatment with corticosteroid and antiviral agents as soon as Bell Palsy (BP was diagnosed (House-Breckman stage 6. Six weeks later, patient didn’t recover, while in House-Breckman stage 3, acupuncture was perfomed and local and distal acupoints were used with ears, body and face. Ear acupuncture point was used two times with detection. In the course of six sessions body and face points were stimulated by electroacupuncture. After ten acupuncture treatments, the subjective symptoms and the facial motion on the affected side improved. There was an spotting ecchymosis the ST2 points on. The symmetry of the face is a determinant of facial charm and influences interpersonal attraction for adults, children and pregnant women. Medical options for the sequelae of BP are limited. Acupuncture’s effectively in Bell palsy patients’ should be shown with more clinical and electrophysiological studies.
Belle II Silicon Vertex Detector
Mohanty, Gagan B
2015-01-01
The Belle II experiment at the SuperKEKB collider in Japan is designed to indirectly probe new physics using approximately 50 times the data recorded by its predecessor. An accurate determination of the decay-point position of subatomic particles such as beauty and charm hadrons as well as a precise measurement of low-momentum charged particles will play a key role in this pursuit. These will be accomplished by a vertex detector, which comprises two layers of pixelated silicon detector and four layers of silicon vertex detector. We describe herein the design, prototyping and construction efforts of the Belle-II silicon vertex detector that is aimed to be commissioned towards the middle of 2017.
Time-Continuous Bell Measurements
Hofer, Sebastian G; Aspelmeyer, Markus; Hammerer, Klemens
2013-01-01
We combine the concept of Bell measurements, in which two systems are projected into maximally entangled states, with the concept of continuous measurements, which concerns the evolution of a continuously monitored quantum system. For time continuous Bell measurements based on homodyne detection of light we derive the corresponding stochastic Schr\\"odinger equations, as well as the unconditional feedback master equations. Our results cover in particular the two scenarios of time-continuous quantum teleportation and entanglement swapping. We apply our results to show that (i) two two-level systems can be deterministically entangled via homodyne detection of light, even including photon loss approaching the fundamental limit of 50%, and (ii) a quantum state of light can be continuously teleported to a mechanical oscillator. This time-continuous remote quantum state preparation works under the same conditions as are required for optomechanical ground state cooling.
Belle II silicon vertex detector
Adamczyk, K.; Aihara, H.; Angelini, C.; Aziz, T.; Babu, V.; Bacher, S.; Bahinipati, S.; Barberio, E.; Baroncelli, Ti.; Baroncelli, To.; Basith, A. K.; Batignani, G.; Bauer, A.; Behera, P. K.; Bergauer, T.; Bettarini, S.; Bhuyan, B.; Bilka, T.; Bosi, F.; Bosisio, L.; Bozek, A.; Buchsteiner, F.; Casarosa, G.; Ceccanti, M.; Červenkov, D.; Chendvankar, S. R.; Dash, N.; Divekar, S. T.; Doležal, Z.; Dutta, D.; Enami, K.; Forti, F.; Friedl, M.; Hara, K.; Higuchi, T.; Horiguchi, T.; Irmler, C.; Ishikawa, A.; Jeon, H. B.; Joo, C. W.; Kandra, J.; Kang, K. H.; Kato, E.; Kawasaki, T.; Kodyš, P.; Kohriki, T.; Koike, S.; Kolwalkar, M. M.; Kvasnička, P.; Lanceri, L.; Lettenbicher, J.; Maki, M.; Mammini, P.; Mayekar, S. N.; Mohanty, G. B.; Mohanty, S.; Morii, T.; Nakamura, K. R.; Natkaniec, Z.; Negishi, K.; Nisar, N. K.; Onuki, Y.; Ostrowicz, W.; Paladino, A.; Paoloni, E.; Park, H.; Pilo, F.; Profeti, A.; Rashevskaya, I.; Rao, K. K.; Rizzo, G.; Rozanska, M.; Sandilya, S.; Sasaki, J.; Sato, N.; Schultschik, S.; Schwanda, C.; Seino, Y.; Shimizu, N.; Stypula, J.; Suzuki, J.; Tanaka, S.; Tanida, K.; Taylor, G. N.; Thalmeier, R.; Thomas, R.; Tsuboyama, T.; Uozumi, S.; Urquijo, P.; Vitale, L.; Volpi, M.; Watanuki, S.; Watson, I. J.; Webb, J.; Wiechczynski, J.; Williams, S.; Würkner, B.; Yamamoto, H.; Yin, H.; Yoshinobu, T.
2016-09-01
The Belle II experiment at the SuperKEKB collider in Japan is designed to indirectly probe new physics using approximately 50 times the data recorded by its predecessor. An accurate determination of the decay-point position of subatomic particles such as beauty and charm hadrons as well as a precise measurement of low-momentum charged particles will play a key role in this pursuit. These will be accomplished by an inner tracking device comprising two layers of pixelated silicon detector and four layers of silicon vertex detector based on double-sided microstrip sensors. We describe herein the design, prototyping and construction efforts of the Belle-II silicon vertex detector.
Inequality, Tolerance, and Growth
DEFF Research Database (Denmark)
Bjørnskov, Christian
This paper argues for the importance of individuals' tolerance of inequality for economic growth. By using the political ideology of governments as a measure of revealed tolerance of inequality, the paper shows that controlling for ideology improves the accuracy with which the effects of inequality...... are measured. Results show that inequality reduces growth but more so in societies where people perceive it as being relatively unfair. Further results indicate that legal quality and social trust are likely transmission channels for the effects of inequality....
Inequality, Tolerance, and Growth
DEFF Research Database (Denmark)
Bjørnskov, Christian
2004-01-01
This paper argues for the importance of individuals' tolerance of inequality for economic growth. By using the political ideology of governments as a measure of revealed tolerance of inequality, the paper shows that controlling for ideology improves the accuracy with which the effects of inequality...... are measured. Results show that inequality reduces growth but more so in societies where people perceive it as being relatively unfair. Further results indicate that legal quality and social trust are likely transmission channels for the effects of inequality....
Inequality Fragility Hypothesis
Directory of Open Access Journals (Sweden)
Sebastian-Ilie DRAGOE
2016-07-01
Full Text Available The last four decades have been marked by growing inequality. The inequality of income and wealth is one of the most important macroeconomic issues of our time. Inequality contributed to Global Savings Glut and Global Financial Crisis through riskiness channel and a greater propensity to borrow for poor people. This paper presents evidence that besides structural factors, monetary policy, high leverage and the development of new money substitutes are critical in explaining the inequality trend in advanced countries. Increasing economic inequality acts as financial instability enhancer and if left untreated it poses a significant threat to economic sustainability.
Particle Identification at Belle II
Sandilya, S
2016-01-01
We report on the charged particle identification (PID) systems for the upcoming Belle II experiment. The time of propagation counter in the central region and the proximity focusing ring imaging Cherenkov counters with aerogel radiator in the forward region will be used as the PID devices. They are expected to provide a kaon identification efficiency of more than 94% at a low pion misidentification probability of 4%. The motivation for the upgrade, method, and status of both systems are discussed.
Common questions about Bell palsy.
Albers, Janet R; Tamang, Stephen
2014-02-01
Bell palsy is an acute affliction of the facial nerve, resulting in sudden paralysis or weakness of the muscles on one side of the face. Testing patients with unilateral facial paralysis for diabetes mellitus or Lyme disease is not routinely recommended. Patients with Lyme disease typically present with additional manifestations, such as arthritis, rash, or facial swelling. Diabetes may be a comorbidity of Bell palsy, but testing is not needed in the absence of other indications, such as hypertension. In patients with atypical symptoms, magnetic resonance imaging with contrast enhancement can be used to rule out cranial mass effect and to add prognostic value. Steroids improve resolution of symptoms in patients with Bell palsy and remain the preferred treatment. Antiviral agents have a limited role, and may improve outcomes when combined with steroids in patients with severe symptoms. When facial paralysis is prolonged, surgery may be indicated to prevent ocular desiccation secondary to incomplete eyelid closure. Facial nerve decompression is rarely indicated or performed. Physical therapy modalities, including electrostimulation, exercise, and massage, are neither beneficial nor harmful.
Geometric decompositions of Bell polytopes with practical applications
Bierhorst, Peter
2016-05-01
In the well-studied (2,2,2) Bell experiment consisting of two parties, two measurement settings per party, and two possible outcomes per setting, it is known that if the experiment obeys no-signaling constraints, then the set of admissible experimental probability distributions is fully characterized as the convex hull of 24 distributions: eight Popescu–Rohrlich (PR) boxes and 16 local deterministic distributions. Furthermore, it turns out that in the (2,2,2) case, any nonlocal nonsignaling distribution can always be uniquely expressed as a convex combination of exactly one PR box and (up to) eight local deterministic distributions. In this representation each PR box will always occur only with a fixed set of eight local deterministic distributions with which it is affiliated. In this paper, we derive multiple practical applications of this result: we demonstrate an analytical proof that the minimum detection efficiency for which nonlocality can be observed is η \\gt 2/3 even for theories constrained only by the no-signaling principle, and we develop new algorithms that speed the calculation of important statistical functions of Bell test data. Finally, we enumerate the vertices of the no-signaling polytope for the (2,n,2) ‘chained Bell’ scenario and find that similar decomposition results are possible in this general case. Here, our results allow us to prove the optimality of a bound, derived in Barrett et al (2006 Phys. Rev. Lett. 97 170409), on the proportion of local theories in a local/nonlocal mixture that can be inferred from the experimental violation of a chained Bell inequality.
Educational Inequality and Income Inequality: An Empirical Study on China
Yang, Jun; Huang, Xiao; Li, Xiaoyu
2009-01-01
Based on the endogenous growth theory, this paper uses the Gini coefficient to measure educational inequality and studies the empirical relationship between educational inequality and income inequality through a simultaneous equation model. The results show that: (1) Income inequality leads to educational inequality while the reduction of…
Integral inequalities similar to Gronwall inequality
Hassane Khellaf; Mohamed Denche
2007-01-01
In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables. We apply our results to a system of nonlinear differential equations for functions of one variable and to the nonlinear hyperbolic partial integrodifferential equation in $n$-independent variables. These results extend the Gronwall type inequalities obtained by Pachpatte [6] and Oguntuase [5].
Inequality in Health Versus Inequality in Lifestyles
Ovrum, Arnstein; Rickertsen, Kyrre
2011-01-01
This paper uses repeated cross section data from Norway to compare patterns of inequality in self assessed health and obesity with patterns of inequality in underlying lifestyles central to the production of good health, namely physical activity, non-smoking and diet quality, represented by fish and fruits and vegetables consumption. We estimate a multivariate probit model to study correlates of these lifestyle and health variables, while Gini and concentration indices are being decomposed to...
Bell Canyon test summary report
International Nuclear Information System (INIS)
The Bell Canyon Test was an in situ evaluation of the ability of a cement grout plug to seal boreholes. It consisted of a 2-m-long, 20-cm-diameter grout plug in an anhydrite formation at a depth of 1370 m, directly above an aquifer that provided a 12.4 MPa (1800 psi) differential pressure. The aquifer had a production capability of 38,000 l/day (240 bbl/day, 104 gal/day). The observed leakage after plug installation was 0.6 l/day, which is equivalent to a 50 microdarcy flow path assuming all flow occurred through the plug cross-sectional area. Laboratory results and analysis of field data indicate that the bulk of the flow occurred through a microstructure at the interface between the plug and the host rock. The Bell Canyon Test demonstrated that a plug could be formulated, emplaced, and tested under actual conditions and provide acceptable performance. When these results are related to the WIPP performance assessment models, they provide additional confidence that borehole plugging can be accomplished satisfactorily. The Bell Canyon results can also be used as basis for future activities in the generic repository sealing program for similar emplacements and performance assessment evaluations. If the observed leakage rates are not acceptable at other sites, the BCT results would indicate that the first step in improving such emplacements should deal with improved bonding of the plug to the rock at these sites. The results obtained from the BCT, when coupled with results from long-term durability assessments, form a plug performance data basis for repository designers at other proposed waste repository sites
Contemporary management of Bell palsy.
Jowett, Nate; Hadlock, Tessa A
2015-04-01
Bell palsy (BP) is the most common diagnosis in acute and chronic facial palsy. Although most patients fully recover, more than one-quarter will have residual dysfunction. Of these, nearly half will demonstrate severe limitations in facial expression. Though significant attention has been paid to acute management and prognosis, a paucity of literature exists addressing management of the long-term sequelae of BP. This article describes contemporary use of physical therapy, injectables, and static and dynamic surgical procedures in facial reanimation of acute and chronic BP. PMID:25958893
Song, Jae; Price, David J.; Guvenen, Fatih; Bloom, Nick
2015-01-01
Earnings inequality in the United States has increased rapidly over the last three decades, but little is known about the role of firms in this trend. For example, how much of the rise in earnings inequality can be attributed to rising dispersion between firms in the average wages they pay, and how much is due to rising wage dispersion among workers within firms? Similarly, how did rising inequality affect the wage earnings of different types of workers working for the same employ...
Research inequality in nanomedicine
Woodson, T. (Thomas)
2012-01-01
The 10-90 gap is an idea in the healthcare literature that less than 10% of all research funding goes to solving health problems that are 90% of the global disease burden. This paper examines whether there is inequality in nanotechnology healthcare research (nanomedicine). To understand the inequality in nanomedicine, I conducted a bibliometric review of Web of Science and PubMed databases. Overall there is not large inequality in nanomedicine research. The bibliometric analysis shows that mo...
Has globalization increased inequality?
Axel Dreher; Noel Gaston
2006-01-01
There has been no shortage of theories which purport to explain why globalisation may have, adverse, insignificant or even beneficial effects on income and earnings inequality. Surprisingly, the empirical realities remain an almost complete mystery. In this paper we use data on industrial wage inequality, household income inequality as well as measures of the economic, social and political dimensions of globalisation to examine this controversial issue. We find that the economic dimension of ...
Busse, Matthias; Spielmann, Christian
2005-01-01
The paper empirically explores the international linkages between gender inequality and trade flows of a sample of 92 developed and developing countries. The focus is on comparative advantage in labour-intensive manufactured goods. The results indicate that gender wage inequality is positively associated with comparative advantage in labour-intensive goods, that is, countries with a larger gender wage gap have higher exports of these goods. Also, gender inequality in labour force activity rat...
Directory of Open Access Journals (Sweden)
Jovanović-Gavrilović Biljana D.
2003-01-01
Full Text Available Inequality can be analyzed from various aspects. In this paper our attention is drawn to economic inequality, most frequently manifested through income and wealth. The measurement of economic inequality is a complex task. The Lorenz curve and a number of numerical indices are applied, and let us mention the following ones: the Gini coefficient, the coefficient of variation, the Theil index and the Atkinson measure. These indices do satisfy the criteria (principles presenting, according to general consent an appropriate measure of economic inequality: anonymity (symmetry principle, population principle, relative income principle and the Dalton principle of transfer. In recent times, the problem of inequality has been attracting a lot of attention. The explanation should be sought in the widening of income differences (within individual countries and between them and also in new knowledge about the relationship between inequality and development. The attitude to inequality being determined mainly by the economic development level (as presented in the Kuznets hypothesis is gradually being replaced by the attitude to inequality being the determinant of income and its growth. Contrary to previous beliefs about the stronger income inequalities being favorable to the economic growth, more recent research has pointed to the fact that a more equal distribution of income through various channels, can possibly act as an efficient stimulus of growth.
DEFF Research Database (Denmark)
Nielsen, Morten Ebbe Juul; Landes, Xavier
2016-01-01
Status inequalities seem to play a fairly big role in creating inequalities in health. This article assumes that there can be good reasons to fight status inequalities in order to reduce inequalities in health. It examines whether the neorepublican ideal of non-dominance does a better job...... as a theoretical foil for this as compared to a liberal notion of non-interference. The article concludes that there is a prima facie case for incorporating non-dominance into our thinking about public health, but that it needs to go hand in hand with a more traditional liberal ideal of non-interference....
Loophole-free Bell's experiment and two-photon all-versus-nothing violation of local realism
Cabello, Adan
2005-01-01
We introduce an all-versus-nothing proof of impossibility of Einstein-Podolsky-Rosen's local elements of reality for two photons entangled both in polarization and path degrees of freedom, which leads to a Bell's inequality where the classical bound is 8 and the quantum prediction is 16. A simple estimation of the detection efficiency required to close the detection loophole using this proof gives eta > 0.69. This efficiency is lower than that required for previous proposals.
Minimax discrimination of quasi-Bell states
Energy Technology Data Exchange (ETDEWEB)
Kato, Kentaro [Quantum ICT Research Institute, Tamagawa University, 6-1-1 Tamagawa-gakuen, Machida, Tokyo 194-8610 (Japan)
2014-12-04
An optimal quantum measurement is considered for the so-called quasi-Bell states under the quantum minimax criterion. It is shown that the minimax-optimal POVM for the quasi-Bell states is given by its square-root measurement and is applicable to the teleportation of a superposition of two coherent states.
Belle-II Experiment Network Requirements
Energy Technology Data Exchange (ETDEWEB)
Asner, David; Bell, Greg; Carlson, Tim; Cowley, David; Dart, Eli; Erwin, Brock; Godang, Romulus; Hara, Takanori; Johnson, Jerry; Johnson, Ron; Johnston, Bill; Dam, Kerstin Kleese-van; Kaneko, Toshiaki; Kubota, Yoshihiro; Kuhr, Thomas; McCoy, John; Miyake, Hideki; Monga, Inder; Nakamura, Motonori; Piilonen, Leo; Pordes, Ruth; Ray, Douglas; Russell, Richard; Schram, Malachi; Schroeder, Jim; Sevior, Martin; Singh, Surya; Suzuki, Soh; Sasaki, Takashi; Williams, Jim
2013-05-28
The Belle experiment, part of a broad-based search for new physics, is a collaboration of ~400 physicists from 55 institutions across four continents. The Belle detector is located at the KEKB accelerator in Tsukuba, Japan. The Belle detector was operated at the asymmetric electron-positron collider KEKB from 1999-2010. The detector accumulated more than 1 ab-1 of integrated luminosity, corresponding to more than 2 PB of data near 10 GeV center-of-mass energy. Recently, KEK has initiated a $400 million accelerator upgrade to be called SuperKEKB, designed to produce instantaneous and integrated luminosity two orders of magnitude greater than KEKB. The new international collaboration at SuperKEKB is called Belle II. The first data from Belle II/SuperKEKB is expected in 2015. In October 2012, senior members of the Belle-II collaboration gathered at PNNL to discuss the computing and neworking requirements of the Belle-II experiment with ESnet staff and other computing and networking experts. The day-and-a-half-long workshop characterized the instruments and facilities used in the experiment, the process of science for Belle-II, and the computing and networking equipment and configuration requirements to realize the full scientific potential of the collaboration's work.
Physics Achievements from the Belle Experiment
Brodzicka, Jolanta; Chang, Paoti; Eidelman, Simon; Golob, Bostjan; Hayasaka, Kiyoshi; Hayashii, Hisaki; Iijima, Toru; Inami, Kenji; Kinoshita, Kay; Kwon, Youngjoon; Miyabayashi, Kenkichi; Mohanty, Gagan; Nakao, Mikihiko; Nakazawa, Hideyuki; Olsen, Stephen; Sakai, Yoshihide; Schwanda, Christoph; Schwartz, Alan; Trabelsi, Karim; Uehara, Sadaharu; Uno, Shoji; Watanabe, Yasushi; Zupanc, Anze
2012-01-01
The Belle experiment, running at the KEKB e+e- asymmetric energy collider during the first decade of the century, achieved its original objective of measuring precisely differences between particles and anti-particles in the B system. After collecting 1000 fb-1 of data at various Upsilon resonances, Belle also obtained the many other physics results described in this article.
On the Affine Isoperimetric Inequalities
Indian Academy of Sciences (India)
Wuyang Yu; Gangsong Leng
2011-11-01
We obtain an isoperimetric inequality which estimate the affine invariant -surface area measure on convex bodies. We also establish the reverse version of -Petty projection inequality and an affine isoperimetric inequality of $_{-p}K$.
The design of bells with harmonic overtones.
McLachlan, Neil; Nigjeh, Behzad Keramati; Hasell, Anton
2003-07-01
Musical bells have had limited application due to the presence of inharmonic partials in the lower part of their acoustic spectra. A series of bells has been designed that contains up to seven partial frequencies in the harmonic series beginning at the fundamental frequency. This was achieved by choosing geometries for finite-element analysis models in which as many purely circumferential bending modes as possible occurred at frequencies below any mode with an axial ring node. The bell models were then fine tuned using gradient projection method shape optimization and the resulting profiles were cast in silicon bronze. A range of bell geometries and timbres is analyzed using psycho-acoustic models and is discussed in relation to European carillon bells. PMID:12880061
Social inequalities in "sickness"
DEFF Research Database (Denmark)
van der Wel, Kjetil A; Dahl, Espen; Thielen, Karsten
2012-01-01
-employment were particularly high in the Anglo-Saxon and Eastern welfare regimes, and lowest in the Scandinavian regime. For men, absolute and relative social inequalities in sickness were lowest in the Southern regime; for women, inequalities were lowest in the Scandinavian regime. The authors conclude...
Immigration and income inequality
DEFF Research Database (Denmark)
Deding, Mette; Hussain, Azhar; Jakobsen, Vibeke;
2010-01-01
During the last two decades most Western countries have experienced increased net immigration as well as increased income inequality. This article analyzes the effects on income inequality of an increased number of immigrants in Denmark and Germany for the 20- year period 1984-2003 and how...
functional-differential inequalities
Directory of Open Access Journals (Sweden)
Ludwik Byszewski
1995-01-01
Full Text Available A theorem about a system of strong impulsive degenerate nonlinear parabolic functional-differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear parabolic differential problem are established.
Global Inequality: An Introduction
Directory of Open Access Journals (Sweden)
Michelle Bata
2015-08-01
Full Text Available Global inequality has been little analyzed by sociologists despite their claim to be the scienti?c experts most in charge of the study of human inequalities and social strati?cation. Most undergraduate courses on social inequalities study race, class and gender without ever acknowledging that the greatest inequalities are between those individuals and households that live in developed versus less developed societies. The amount of international inequality has vastly outweighed within country inequalities since at least the 1870s when a wave of economic globalization under the Pax Britannica increased average wages in the core while leaving most of the periphery and the semiperiphery at subsistence levels. Increasing inequality was one of the most important consequences of nineteenth century globalization, and this fact is pregnant with importance for those who seek to understand what the consequences of twentieth century globalization may be. Resistance to global capitalism and attacks on symbols of power are likely to increase, just as they did in the decades following the great expansion of trade and investment in the last decades of the nineteenth century. Research into the causes of increasing inequalities is thus extremely important for social scientists, policy makers and global citizens who need to understand how the world-system works in order to change it.
Inequalities for inscribed simplexes
Institute of Scientific and Technical Information of China (English)
YANG Shiguo
2004-01-01
The problem on the geometrc inequalities involving ann-dimensional simplex and its inscribed simplex is studied. An inequality is established, which reveals that the difference between the squared circumradius of then-dimensional simplex and the squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not less than the 2(n-1)th power ofnn times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is a tangent point one. Deduction from this inequality reaches a generalization ofn-dimensional Euler inequality indicating that the circumradius of the simplex is not less than then-fold inradius. Another inequality is derived to present the relationship between the circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.
Social inequalities and health inequity in Morocco
Directory of Open Access Journals (Sweden)
Boutayeb Abdesslam
2006-03-01
Full Text Available Abstract Background According to the last census, Morocco has a population approaching 30 million people. The country has made good progress in the control of preventable childhood diseases but social inequalities and health inequities remain major problems for the third millennium. Despite the progress achieved during the last decade, the country still ranks at the 125th place according to the Human Development Index. This unpleasant position is mainly explained by illiteracy, education and health indicators. Method Our study was based mainly on annual reports and regular publications released by the United Nations (UN, United Nations Development Programme (UNDP, World Health Organisation (WHO, The Moroccan Health Ministry and related papers published in international journals. Results and discussion As indicated by the last Arab Human Development Reports (AHDR 2002, AHDR 2003, AHDR 2004 and implicitly confirmed by the "National Initiative for Human Development" (NIHD launched in May 2005 by the King of Morocco, many districts and shanty towns, urban or peri-urban, and a multitude of rural communes live in situations characterized by difficult access to basic social services of which education and health are examples. Conclusion Recent evidence showed that improved health is more than a consequence of development. It is a central input into economic and social development and poverty reduction. Serious initiatives for human development should consider the reduction of social inequalities and health inequities as a first priority. Otherwise, the eventual development achieved cannot be sustained.
Bell's Conspiracy, Schr\\"odinger's Black Cat and Global Invariant Sets
Palmer, T N
2015-01-01
A locally causal hidden-variable theory of quantum physics need not be constrained by the Bell inequalities if this theory also partially violates the measurement independence condition. However, such violation can appear unphysical, implying implausible conspiratorial correlations between the hidden-variables of particles being measured and earlier determinants of instrumental settings. A novel physically plausible explanation for such correlations is proposed, based on the hypothesis that states of physical reality lie precisely on a non-computational measure-zero dynamically invariant set in the state space of the universe: the Cosmological Invariant Set Postulate. To illustrate the relevance of the concept of a global invariant set, a simple analogy is considered where a massive object is propelled into a black hole depending on the decay of a radioactive atom. It is claimed that a locally causal hidden-variable theory constrained by the Cosmological Invariant Set Postulate can violate the CHSH inequality...
INEQUALITIES FOR MIXED INTERSECTION BODIES
Institute of Scientific and Technical Information of China (English)
YUAN SHUFENG; LENG GANGSONG
2005-01-01
In this paper, some properties of mixed intersection bodies are given, and inequalities from the dual Brunn-Minkowski theory (such as the dual Minkowski inequality, the dual Aleksandrov-Fenchel inequalities and the. dual Brunn-Minkowski inequalities) are established for mixed intersection bodies.
Legal Quality, Inequality, and Tolerance
DEFF Research Database (Denmark)
Bjørnskov, Christian
2004-01-01
Previous findings suggest that income inequality leads to lower legal quality. This paper argues that voters' tolerance of inequality exerts an additional influence. Empirical findings suggest that inequality leads to lower legal quality due to its effect on trust while the tolerance of inequality...
Legal Quality, Inequality, and Tolerance
DEFF Research Database (Denmark)
Bjørnskov, Christian
Previous findings suggest that income inequality leads to lower legal quality. This paper argues that voters' tolerance of inequality exerts an additional influence. Empirical findings suggest that inequality leads to lower legal quality due to its effect on trust while the tolerance of inequality...
EXTENSIONS OF SOME INEQUALITIES
Institute of Scientific and Technical Information of China (English)
无
2001-01-01
By using a simple analytic method the following inequalities are proved:(bx+y-ax+y)/(bx-ax)≥[(x+y)/x][(a+b)/2]y,for 0＜a＜b,x≥1,y＞0,x+y≥2;(bx+y-ax+y)/(bx-ax)＜[(x+y)/x][(a+b)/2]y,for0＜a＜b,0＜x＜1,y＞0,x+y≤2.These inequalities are the extensions of inequalities of Qi Feng, Xu Senlin and Zheng Lin. And a conjection of Qi Feng is proved not true.
Jae Song; Price, David J.; Fatih Guvenen; Nicholas Bloom; Till von Wachter
2015-01-01
Earnings inequality in the United States has increased rapidly over the last three decades, but little is known about the role of firms in this trend. For example, how much of the rise in earnings inequality can be attributed to rising dispersion between firms in the average wages they pay, and how much is due to rising wage dispersion among workers within firms? Similarly, how did rising inequality affect the wage earnings of different types of workers working for the same employer—men vs. w...
Morchio, Iacopo
2015-01-01
The last years have seen a surging interest in inequality in our society and in the world, with particular emphasis on economic inequality. Both long-run trends and the recent economic crisis have contributed to an increase in the gap between the rich and the poor, raising new questions on why this happened and on whether society should (or shouldn't) counteract these forces. The three main chapters of this dissertation aim at understanding the reasons behind inequality in the probability of ...
Herpes Simplex Virus-1 and Bell's Palsy
Directory of Open Access Journals (Sweden)
J Gordon Millichap
2008-05-01
Full Text Available The association between herpes simplex virus-1 (HSV-1 infection and Bell palsy was determined in 47 children studied at Children's Hospital at Montefiore, Bronx, NY. Swabs of saliva and conjunctiva were taken for PCR testing.
On the failure of Bell's theorem
Bene, Gyula
1997-01-01
Using a new approach to quantum mechanics we revisit Hardy's proof for Bell's theorem and point out a loophole in it. We also demonstrate on this example that quantum mechanics is a local realistic theory.
Helicopter attempts tow of Liberty Bell 7
1961-01-01
Marine helicopter appears to have Liberty Bell 7 in tow after Virgil I. Grissom's successful flight of 305 miles down the Atlantic Missile Range. Minutes after 'Gus' Grissom got out of the spacecraft, it sank.
Undergraduate students’ conceptions of inequalities
Halmaghi, Elena Filofteia
2011-01-01
Inequalities are vital in the production of mathematics. They are employed as specialized tools in the study of functions, in proving equalities, and in approximation or optimization studies, to enumerate only a few areas of mathematics where inequalities are put at work. The concept of inequality, however, is problematic for high school and university students alike. Moreover, school curriculum seems disconnected from the role of inequalities in mathematics and mostly presents inequalities a...
Inequality of Opportunity in Egypt
Hassine, Nadia Belhaj
2012-01-01
The article evaluates the contribution of inequality of opportunity to earnings inequality in Egypt and analyzes its evolution across three time periods and different population groups. It provides parametric and nonparametric estimates of a lower bound for the degree of inequality of opportunity for wage and salary workers. On average, the contribution of opportunity-shaping circumstances to earnings inequality declined from 22 percent in 1988 to 15 percent in 2006. Levels of inequality of o...
Overview of flavor physics results at Belle
Directory of Open Access Journals (Sweden)
Yusa Yosuke
2015-01-01
Full Text Available We will present recent topics of the flavor physics in decays of the heavy mesons at the Belle experiment. Most of the results are based on a full data set which corresponds to 772 million BB̄ pairs collected at the ϒ(4S resonance with the Belle detector at the KEKB asymmetric energy e+e− collider. We also discuss about prospects of the studies in the future B-factory experiment.
Directory of Open Access Journals (Sweden)
N. Carella
2013-09-01
Full Text Available A new unconditional inequality of the totient function is contributed to the literature. This result is associated with various unsolved problems about the distribution of prime numbers.
Social inequalities in 'sickness'
DEFF Research Database (Denmark)
Wel, Kjetil A. van der; Dahl, Espen; Thielen, Karsten
2011-01-01
inequalities in health by studying the often overlooked ‘sickness’-dimension of health, namely employment behaviour among people with illnesses. We use European Union Statistics on Income and Living Conditions (EU-SILC) data from 2005 covering 26 European countries linked to country characteristics derived...... from Eurostat and OECD that include spending on active labour market policies, benefit generosity, income inequality, and employment protection. Using multilevel techniques we find that comprehensive welfare states have lower absolute and relative social inequalities in sickness, as well as more......The aim of this paper is to examine educational inequalities in the risk of non-employment among people with illnesses and how they vary between European countries with different welfare state characteristics. In doing so, the paper adds to the growing literature on welfare states and social...
Stiglitz, Joseph E.
1973-01-01
The author argues that the educational system is not the cause of inequality, raising the question of whether it is possible or even desirable to use the educational system to promote greater equality. (EH)
Variational Inequalities with Applications
Sofonea, Mircea
2009-01-01
Motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials, this book focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs)
Generalized quasi variational inequalities
Energy Technology Data Exchange (ETDEWEB)
Noor, M.A. [King Saud Univ., Riyadh (Saudi Arabia)
1996-12-31
In this paper, we establish the equivalence between the generalized quasi variational inequalities and the generalized implicit Wiener-Hopf equations using essentially the projection technique. This equivalence is used to suggest and analyze a number of new iterative algorithms for solving generalized quasi variational inequalities and the related complementarity problems. The convergence criteria is also considered. The results proved in this paper represent a significant improvement and refinement of the previously known results.
Fajnzylber, Pablo; Lederman, Daniel; Loayza, Norman
2002-01-01
We investigate the robustness and causality of the link between income inequality and violent crime across countries. First, we study the correlation between the Gini index and homicide and robbery rates within and between countries. Second, we examine the partial correlation by considering other crime determinants. Third, we control for the endogeneity of inequality by isolating its exogenous impact on these crime rates. Fourth, we control for measurement error in crime rates by modeling it ...
Devashish Mitra; Vitor Trindade
2005-01-01
We incorporate demand-side considerations in trade in a systematic but straightforward way. We do so by focusing on the role of inequality in the determination of trade flows and patterns. With nonhomothetic preferences, when countries are similar in all respects but asset inequality, we find that trade is driven by specialization in consumption, not production. These assumptions allow us to generate some interesting international spillover effects of redistributive policies. We also look at ...
Hisako, KAI; Shigeyuki, Hamori
2009-01-01
This paper examines the relationship microfinance and inequality by providing a cross-country empirical study of 61 developing countries. Microfinance plays an important role in the financial market in many developing countries. Although microfinance is expected to significantly affect macro variables, we lack enough empirical research on Impact Analysis at the macro level, such as the effect of microfinance on inequality. We expect microfinance to have an equalizing effect, and provide a fir...
Nasfi Fkili Wahiba
2013-01-01
This paper is intended to test the effect of trade openness on inequality of wage distribution in Tunisia. The study through econometric estimates showed that the impact of openness on inequality is remarkable in the period marked by an intensive integration into the global economy. However, investment in human capital can have a positive effect and leas to reduce wage disparities. Opening to the world economy is able to achieve positive economic performance, except that one of the challenges...
Eric M. Uslaner
2006-01-01
Economic inequality provides a fertile breeding ground for corruption and, in turn, leads to further inequalities. Most corruption models focus on the institutional determinants of government dishonesty. However, such accounts are problematic. Corruption is remarkably sticky over time. There is a very powerful correlation between crossnational measures corruption in 1980 and in 2004. In contrast, measures of democracy such as the Freedom House scores are not so strongly correlated over time, ...
Multidimensional poverty and inequality
Rolf Aaberge; Andrea Brandolini
2014-01-01
This paper examines different approaches to the measurement of multidimensional inequality and poverty. First, it outlines three aspects preliminary to any multidimensional study: the selection of the relevant dimensions; the indicators used to measure them; and the procedures for their weighting. It then considers the counting approach and the axiomatic treatment in poverty measurement. Finally, it reviews the axiomatic approach to inequality analysis. The paper provides a selective review o...
MEASUREMENT OF HEALTH INEQUALITY
Directory of Open Access Journals (Sweden)
NICOLETA CARAGEA
2011-04-01
Full Text Available Health inequality is met everywhere in the world, including in countries with a high level of economic development, or those with strong social protection systems. In this paper I analyzed certain methods to measure health inequalities between population groups and also I presented some empirical results regarding health disparities between European Union countries. My research is focussed on three health areas: health status of population, access to health care services and resource allocation and population spending on health care.
Carmichael, Sarah; Dilli, Selin; Rijpma, Auke
2014-01-01
Historically, gender inequalities in health status, socio-economic standing and political rights have been large. This chapter documents gender differences in life expectancy and birth rates (to cover health status); in average years of schooling, labour force participation, inheritance rights and marriage age (to cover socioeconomic status); and in parliamentary seats and suffrage (to cover political rights). A composite indicator shows strong progress in reducing gender inequality in the pa...
Lq Inequalities and Operator Preserving Inequalities
Institute of Scientific and Technical Information of China (English)
M.Bidkham∗; S.Ahmadi
2014-01-01
Let Pn be the class of polynomials of degree at most n. Rather and Shah [15] proved that if P∈Pn and P(z) 6=0 in|z|0 and 0≤q<∞,|B[P(Rz)]|q≤|RnB[zn]+λ0|q|1+zn|q |P(z)|q, where B is a Bn-operator. In this paper, we prove some generalization of this result which in particular yield-s some known polynomial inequalities as special. We also consider an operator Dαwhich maps a polynomial P(z) into DαP(z):=nP(z)+(α−z)P′(z) and obtain exten-sions and generalizations of a number of well-known Lq inequalities.
Hardy type inequalities on time scales
Agarwal, Ravi P; Saker, Samir H
2016-01-01
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and...
Test of Bell’s inequality using the one-atom micromaser
Indian Academy of Sciences (India)
A S Majumdar; N Nayak
2001-02-01
We examine a local realist bound in the case of a one-atom micromaser. It is shown that such a bound is violated using a simpliﬁed treatment of the micromaser. We consider the effect of dissipation in a proposed experiment with the real micromaser. It is seen that the magnitude of violation of a Bell-type inequality depends signiﬁcantly on the cavity parameters.
van de Graaf, R. C.; IJpma, F. F. A.; Nicolai, J-P A.; Werker, P. M. N.
2009-01-01
Bell's palsy is the eponym for idiopathic peripheral facial paralysis. It is named after Sir Charles Bell (1774-1842), who, in the first half of the nineteenth century, discovered the function of the facial nerve and attracted the attention of the medical world to facial paralysis. Our knowledge of
A loophole-free Bell test with spin quits in diamond
Dreau, Anais; Hensen, Bas; Bernien, Hannes; Reiserer, Andreas; Ruitenberg, Just; Blok, Machiel; Markham, Matthew; Twitchen, Daniel; Wehner, Stephanie; Hanson, Ronald; Element 6 Team
2015-03-01
One of the most intriguing phenomena in quantum physics is the entanglement of spatially separated objects. The benchmark to prove the fundamental non-locality of remote entanglement is provided by the famous Bell's theorem. Nevertheless, all its experimental implementations to date open the door to loopholes that restrict the practical validity of this theorem., we present our latest experimental results towards the realization of a Bell test, aimed to close the detection loophole and address the locality and free-will loopholes in a single experiment. Our qubits consist of the electronic spin associated with single NV center defects in diamond. An efficient remote entanglement protocol allows us to generate entangled qubit pairs between two labs separated by 1.3 km on the TU Delft campus. The moderate time (99%) qubit rotations and efficient (>97%) readout make our setup a good candidate to allow the experimental violation of Bell's inequalities between two space-like separated entangled spins without relying on the fair sampling assumption. FOM, NWO, ERC, Kavli Institute of Nanoscience Delft, QUTech, STW.
Bilateral Hardy-type Inequalities
Institute of Scientific and Technical Information of China (English)
Mu Fa CHEN
2013-01-01
This paper studies the Hardy-type inequalities on the intervals (may be infinite) with two weights,either vanishing at two endpoints of the interval or having mean zero.For the first type of inequalities,in terms of new isoperimetric constants,the factor of upper and lower bounds becomes smaller than the known ones.The second type of the inequalities is motivated from probability theory and is new in the analytic context.The proofs are now rather elementary.Similar improvements are made for Nash inequality,Sobolev-type inequality,and the logarithmic Sobolev inequality on the intervals.
DEFF Research Database (Denmark)
Holck, Lotte
2016-01-01
Purpose: – The purpose of this paper is to apply a spatial approach to organizational inequality to explore why unequal opportunity structures persist in an organization despite its commitment to diversity and employing highly skilled ethnic minority employees. Design/methodology/approach: – The ......Purpose: – The purpose of this paper is to apply a spatial approach to organizational inequality to explore why unequal opportunity structures persist in an organization despite its commitment to diversity and employing highly skilled ethnic minority employees. Design....../methodology/approach: – The (re)production of inequality is explored by linking research on organizational space with HRM diversity management. Data from an ethnographic study undertaken in a Danish municipal center illustrates how a substructure of inequality is spatially upheld alongside a formal diversity policy. Archer......’s distinction between structure and agency informs the analysis of how minority agency not only reproduces but also challenges organizational opportunity structures. Findings: – The analysis demonstrates how substructures of inequality stabilize in spatial routines enacted in an ethnic zoning of the workplace...
HEISENBERG'S INEQUALITY AND LOGARITHMIC HEISENBERG'S INEQUALITY FOR AMBIGUITY FUNCTION
Institute of Scientific and Technical Information of China (English)
Tian Guji
2000-01-01
In this article we discuss the relation between Heisenberg's inequality and logarithmic Heisenberg's (entropy) inequality for ambiguity function. After building up a Heisenberg's inequality, we obtain a connection of variance with entropy by variational method. Using classical Taylor's expansion, we prove that the equality in Heisenberg's inequality holds if and only if the entropy of 2k - 1 order is equal to (2k - 1)!.
Inequality in health versus inequality in lifestyle choices
Arnstein Øvrum; Kyrre Rickertsen
2015-01-01
Repeated Norwegian cross-sectional data for the period 2005 to 2011 are used to compare sources of inequality in health, as represented by self-assessed health and obesity, with sources of inequality in lifestyles that are central to the production of health, as represented by physical activity, cigarette smoking and dietary behavior. Sources of overall inequality and socioeconomic inequality in these lifestyle and health indicators are compared by estimating probit models, and by decomposing...
REFINEMENTS OF THE FAN-TODD'S INEQUALITIES
Institute of Scientific and Technical Information of China (English)
庄国基
2002-01-01
Refinements to inequalities oninner product spaces are presented. In this respect, inequalities dealt with in this paper are: Cauchy's inequality, Bessel's inequality, Fan-Todd's inequality and Fan-Todd's determinantal inequality. In each case, a strictly increasing function is put forward, which lies between the smaller and the larger quantities of each inequality. As a result,an improved condition for equality of the Fan-Todd's determinantal inequality is deduced.
The Relationship between Income Inequality and Inequality in Schooling
Mayer, Susan E.
2010-01-01
Children of affluent parents get more schooling than children of poor parents, which seems to imply that reducing income inequality would reduce inequality in schooling. Similarly, one of the best predictors of an individual's income is his educational attainment, which seems to imply that reducing inequality in schooling will reduce income…
DEFF Research Database (Denmark)
Alt, James E.; Lassen, David Dreyer
High-quality data on state-level inequality and incomes, panel data on corruption convictions, and careful attention to the consequences of including or excluding fixed effects in the panel specification allow us to estimate the impact of income considerations on the decision to undertake corrupt...... acts. Following efficiency wage arguments, for a given institutional environment the corruptible employee's or official's decision to engage in corruption is affected by relative wages and expected tenure in the public sector, the probability of detection, the cost of fines and jail terms......, and the degree of inequality, which indicate diminished prospects facing those convicted of corruption. In US states over 25 years we show that inequality and higher government relative wages significantly and robustly produce less corruption. This reverses other findings of a positive association between...
Measuring Inequality and Segregation
Roberto, Elizabeth
2015-01-01
In this paper, I introduce the Divergence Index, a conceptually intuitive and methodologically rigorous measure of inequality and segregation. The index measures the difference between a distribution of interest and another empirical, theoretical, or normative distribution. The Divergence Index provides flexibility in specifying a theoretically meaningful basis for evaluating inequality. It evaluates how surprising an empirical distribution is given a theoretical distribution that represents equality. I demonstrate the unique features of the new measure, as well as deriving its mathematical equivalence with Theil's Inequality Index and the Information Theory Index. I compare the dynamics of the measures using simulated data, and an empirical analysis of racial residential segregation in the Detroit, MI, metro area. The Information Theory Index has become the gold standard for decomposition analyses of segregation. I show that although the Information Theory Index can be decomposed for subareas, it is misleadi...
Education, Empowerment, and Gender Inequalities
Kanbur, Ravi
2002-01-01
This paper considers a seeming disconnect between the consensus in policy circles that reducing gender inequalities is to be prioritized in strategies for reducing inequality and poverty, and a view in mainstream economics (and in some policy circles) that gender inequalities are overemphasized. This latter view is not stated openly, it being politically incorrect to do so, but is nevertheless present. In specific terms, there is a sense that gender inequalities are not large relative to othe...
Type Inference with Inequalities
DEFF Research Database (Denmark)
Schwartzbach, Michael Ignatieff
1991-01-01
Type inference can be phrased as constraint-solving over types. We consider an implicitly typed language equipped with recursive types, multiple inheritance, 1st order parametric polymorphism, and assignments. Type correctness is expressed as satisfiability of a possibly infinite collection...... of (monotonic) inequalities on the types of variables and expressions. A general result about systems of inequalities over semilattices yields a solvable form. We distinguish between deciding typability (the existence of solutions) and type inference (the computation of a minimal solution). In our case, both...
Jogenfors, Jonathan; Elhassan, Ashraf Mohamed; Ahrens, Johan; Bourennane, Mohamed; Larsson, Jan-Åke
2015-12-01
Photonic systems based on energy-time entanglement have been proposed to test local realism using the Bell inequality. A violation of this inequality normally also certifies security of device-independent quantum key distribution (QKD) so that an attacker cannot eavesdrop or control the system. We show how this security test can be circumvented in energy-time entangled systems when using standard avalanche photodetectors, allowing an attacker to compromise the system without leaving a trace. We reach Bell values up to 3.63 at 97.6% faked detector efficiency using tailored pulses of classical light, which exceeds even the quantum prediction. This is the first demonstration of a violation-faking source that gives both tunable violation and high faked detector efficiency. The implications are severe: the standard Clauser-Horne-Shimony-Holt inequality cannot be used to show device-independent security for energy-time entanglement setups based on Franson's configuration. However, device-independent security can be reestablished, and we conclude by listing a number of improved tests and experimental setups that would protect against all current and future attacks of this type.
Jogenfors, Jonathan; Elhassan, Ashraf Mohamed; Ahrens, Johan; Bourennane, Mohamed; Larsson, Jan-Åke
2015-01-01
Photonic systems based on energy-time entanglement have been proposed to test local realism using the Bell inequality. A violation of this inequality normally also certifies security of device-independent quantum key distribution (QKD) so that an attacker cannot eavesdrop or control the system. We show how this security test can be circumvented in energy-time entangled systems when using standard avalanche photodetectors, allowing an attacker to compromise the system without leaving a trace. We reach Bell values up to 3.63 at 97.6% faked detector efficiency using tailored pulses of classical light, which exceeds even the quantum prediction. This is the first demonstration of a violation-faking source that gives both tunable violation and high faked detector efficiency. The implications are severe: the standard Clauser-Horne-Shimony-Holt inequality cannot be used to show device-independent security for energy-time entanglement setups based on Franson’s configuration. However, device-independent security can be reestablished, and we conclude by listing a number of improved tests and experimental setups that would protect against all current and future attacks of this type. PMID:26824059
Jogenfors, Jonathan; Elhassan, Ashraf Mohamed; Ahrens, Johan; Bourennane, Mohamed; Larsson, Jan-Åke
2015-12-01
Photonic systems based on energy-time entanglement have been proposed to test local realism using the Bell inequality. A violation of this inequality normally also certifies security of device-independent quantum key distribution (QKD) so that an attacker cannot eavesdrop or control the system. We show how this security test can be circumvented in energy-time entangled systems when using standard avalanche photodetectors, allowing an attacker to compromise the system without leaving a trace. We reach Bell values up to 3.63 at 97.6% faked detector efficiency using tailored pulses of classical light, which exceeds even the quantum prediction. This is the first demonstration of a violation-faking source that gives both tunable violation and high faked detector efficiency. The implications are severe: the standard Clauser-Horne-Shimony-Holt inequality cannot be used to show device-independent security for energy-time entanglement setups based on Franson's configuration. However, device-independent security can be reestablished, and we conclude by listing a number of improved tests and experimental setups that would protect against all current and future attacks of this type. PMID:26824059
Brendle's inequality on static manifolds
Wang, Xiaodong
2016-01-01
We generalize Brendle's geometric inequality considered in \\cite{B} to static manifolds. The inequality bounds the integral of inverse mean curvature of an embedded mean-convex hypersurface by geometric data of the horizon. As a consequence, we obtain a reverse Penrose inequality on static asymptotically locally hyperbolic manifolds in the spirit of Chru\\'{s}ciel and Simon \\cite{CS}.
Some remarks on Kato's inequality
Horiuchi Toshio
2001-01-01
Let and . Let be a domain of . In this article we shall establish Kato's inequalities for -harmonic operators . Here is defined as for , where is an admissible class. If for example, then we have . Then we shall prove that and in with . These inequalities are called Kato's inequalities provided that .
The Growth-Inequality Association:
DEFF Research Database (Denmark)
Bjørnskov, Christian
2008-01-01
This note suggests that the association between income inequality and economic growth rates might arguably depend on the political ideology of incumbent governments. Estimates indicate that under leftwing governments, inequality is negatively associated with growth while the association is positive...... under rightwing governments. This may provide a qualification to recent studies of inequality....
Trends in Global Gender Inequality
Dorius, Shawn F.; Firebaugh, Glenn
2010-01-01
This study investigates trends in gender inequality throughout the world. Using data encompassing a large majority of the world's population, we examine trends in recent decades for key indicators of gender inequality in education, mortality, political representation and economic activity. We find that gender inequality is declining in virtually…
Clinical Practice Guideline of Acupuncture for Bell's Palsy
Directory of Open Access Journals (Sweden)
Xi Wu
2016-10-01
Full Text Available Backgroud: Acupuncture is common used for Bell's palsy in clinic, however, recent systematic reviews all shows that there is no sufficient evidence to support the effectiveness of acupuncture for Bell's palsy because ofthe poor quality and heterogeneity. It's urgently necessary to develop a guideline of acupuncture for Bell's palsy based on principles of evidence-based medicine to optimize acupuncture treating, standardize outcomes evaluating and to improve the quality of acupuncture for patients with Bell's palsy under general circumstances.
Software and Physics Simulation at Belle II
Kim, Doris Yangsoo
2015-01-01
The Belle II experiment at the SuperKEKB collider in Tsukuba, Japan, will start physics data taking in 2018. It is planned to accumulate an e+ e- collision data set of 50 /ab, about 50 times larger than that of the earlier Belle experiment. The software library for the new detector will use GEANT4 for Monte Carlo simulation and is an entirely new software and reconstruction system based on modern computing tools. Examples of physics simulation including beam background overlays will be described.
The Real "Toll" of A. G. Bell: Lessons about Eugenics
Greenwald, Brian H.
2009-01-01
Historian Brian Greenwald offers a revisionist interpretation of Bell. He reviews Bell's role and influence within the American eugenics movement and shows that Bell had the respect of the most prominent American eugenicists. His intimate knowledge of deafness, from personal experience with his mother and wife and from his studies of deaf people…
Macqueen, Suzanne Elizabeth
2013-01-01
The inequity of streaming as a method of organising classes was established by research conducted in the 1960s and 1970s. While the practice produces small advantages for limited groups of students, it hinders the academic and social advancement of the majority. Although streaming has declined, new forms of achievement grouping have emerged, with…
Cole, Elaine
2016-06-15
A team of nursing students has won a prestigious RCNi award for organising a conference aimed at reducing health inequalities affecting people with learning disabilities. The Learning Disability Awareness Network (LDAN) team was crowned winner of the RCNi Andrew Parker Student Nurse award 2016 at a ceremony held at London's Westminster Park Plaza on May 6. PMID:27305237
Volume difference inequalities
Giannopoulos, Apostolos; Koldobsky, Alexander
2016-01-01
We prove several inequalities estimating the distance between volumes of two bodies in terms of the maximal or minimal difference between areas of sections or projections of these bodies. We also provide extensions in which volume is replaced by an arbitrary measure.
Melamed, David; North, Michael S.
2010-01-01
Recently an article in "Personality and Social Psychology Review" urged social psychologists to reacquire their "sociological imagination" and incorporate broader, structural factors in their work (Oishi, Kesebir, and Snyder 2009). Studies of social inequality in particular seem ripe for this kind of collaboration. Psychological investigations…
DEFF Research Database (Denmark)
Bjørnskov, Christian; Dreher, Axel; Fischer, Justina A.V.;
2013-01-01
We argue that perceived fairness of the income generation process affects the association between income inequality and subjective well-being, and that there are systematic differences in this regard between countries that are characterized by a high or, respectively, low level of actual fairness...
DEFF Research Database (Denmark)
Sonne-Schmidt, Christoffer Scavenius; Tarp, Finn; Østerdal, Lars Peter Raahave
2016-01-01
This paper introduces a concept of inequality comparisons with ordinal bivariate categorical data. In our model, one population is more unequal than another when they have common arithmetic median outcomes and the first can be obtained from the second by correlation-increasing switches and...
Industrialization and inequality revisited
DEFF Research Database (Denmark)
Molitoris, Joseph; Dribe, Martin
2016-01-01
, relative differences between socioeconomic groups remained virtually constant. The results also show that child mortality continued to be sensitive to short-term fluctuations in wages and that there were no socioeconomic differences in this response. We argue that the persistent inequality in living...
Cubic Diophantine Inequalities
Institute of Scientific and Technical Information of China (English)
Hong Ze LI
2001-01-01
Let λ1,λ2,…,λ7 be real numbers satisfying λi ≥ 1. In this paper, we prove there are integers x1…,x7 such that the inequalities │λ1x13+λ2x23+…λ7x37│＜1 and 0 ＜hold simultaneously.
Inequalities Representing Polyhedra
Bosse, H.; Grötschel, M.; Henk, M.
2005-01-01
Our main result is that every n-dimensional polytope can be described by at most 2n−1 polynomial inequalities and, moreover, these polynomials can explicitly be constructed. For an n-dimensional pointed polyhedral cone we prove the bound 2n−2 and for arbitrary polyhedra we get a construc
Carmichael, Sarah; Dilli, Selin; Rijpma, Auke
2014-01-01
Historically, gender inequalities in health status, socio-economic standing and political rights have been large. This chapter documents gender differences in life expectancy and birth rates (to cover health status); in average years of schooling, labour force participation, inheritance rights and m
DEFF Research Database (Denmark)
Holck, Lotte
2016-01-01
Purpose: – The purpose of this paper is to apply a spatial approach to organizational inequality to explore why unequal opportunity structures persist in an organization despite its commitment to diversity and employing highly skilled ethnic minority employees. Design/methodology/approach: – The ......Purpose: – The purpose of this paper is to apply a spatial approach to organizational inequality to explore why unequal opportunity structures persist in an organization despite its commitment to diversity and employing highly skilled ethnic minority employees. Design....../methodology/approach: – The (re)production of inequality is explored by linking research on organizational space with HRM diversity management. Data from an ethnographic study undertaken in a Danish municipal center illustrates how a substructure of inequality is spatially upheld alongside a formal diversity policy. Archer....../implications: – The reliance on a single case study restricts the generalizability of the findings but highlights fruitful areas for future research. Practical implications: – The study sensitizes HRM practitioners to the situated quality of workplace diversity and to develop a broader scope of HRM practices to address...
Health inequality - determinants and policies
DEFF Research Database (Denmark)
Diderichsen, Finn; Andersen, Ingelise; Manual, Celie;
2012-01-01
The review ”Health inequality – determinants and policies” identifies key-areas to be addressed with the aim to reduce the social inequality in health. The general life expectancy has steadily been increasing, but the data reveals marked social inequalities in health as well as life expectancy....... The review seeks to identify the causes of this social inequality. The analysis finds 12 areas of great importance for the inequality in health. This is i.e. early child development, schooling and education, the health behavior of the population, and the role of the health system. Within each of the 12 areas...
Inequalities for quantum skew information
DEFF Research Database (Denmark)
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
2008-01-01
We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order...... relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information...
Discrete Hilbert-Type Inequalities
Yang, Bicheng
2011-01-01
Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral inequality with an independent parameter. In 2004, some new extensions of Hilbert's inequality were presented by introducing two pairs of conjugate exponents and additional independent parameters. Since then, a number of new discrete Hilbert-type inequalities have arisen. In this book, the author explains how to use the way of weight coefficients and introduce specific parameters to build new discrete Hil
Rath, Barbara; Linder, Thomas; Cornblath, David; Hudson, Michael; Fernandopulle, Rohini; Hartmann, Katharina; Heininger, Ulrich; Izurieta, Hector; Killion, Leslie; Kokotis, Pangiotis; Oleske, James; Vajdy, Michael; Wong, Virginia
2007-01-01
Bell's palsy has been reported as an adverse event following immunization (AEFI). Review of the published literature reveals that several characteristics have been used to describe Bell's palsy, which differ significantly from author to author. Evidently, the definition of "Bell's palsy" remains con
2011-12-29
... From the Federal Register Online via the Government Publishing Office NUCLEAR REGULATORY COMMISSION PPL Bell Bend, LLC; Combined License Application for Bell Bend Nuclear Power Plant; Exemption 1.0..., Certifications, and Approvals for Nuclear Power Plants.'' This reactor is to be identified as Bell Bend...
Generalized Bell States and Quantum Teleportation
Fujii, Kazuyuki
2001-01-01
We make a brief comment on measurement of quantum operators with degenerate eigenstates and apply to quantum teleportation. We also try extending the quantum teleportation by Bennett et al [5] to more general situation by making use of generalized Bell states.
Mouthpiece and Bell Effects on Trombone Resonance
LoPresto, Michael C.
2014-01-01
The effects of the mouthpiece and bell on the frequencies of the vibrating air column in a trombone can be demonstrated quite readily by first calculating the expected resonant frequencies of a piece of PVC pipe that is the same length as a trombone, then replacing portions of the PVC pipe of the same length with first a cup-shaped mouthpiece and…
The Cultural Contradictions of Daniel Bell.
Chernow, Ron
1979-01-01
Daniel Bell, author and Harvard sociologist, is interviewed. Among the topics discussed are his view of society, his books, ideology, universities and higher education--including Harvard's core curriculum project and the 1968 student revolt at Columbia University, and Israel and the Jewish experience. (JMD)
Peripheral nerve involvement in Bell's palsy
Directory of Open Access Journals (Sweden)
J. A. Bueri
1984-12-01
Full Text Available A group of patients with Bell's palsy were studied in order to disclose the presence of subclinical peripheral nerve involvement. 20 patients, 8 male and 12 female, with recent Bell's palsy as their unique disease were examined, in all cases other causes of polyneuropathy were ruled out. Patients were investigated with CSF examination, facial nerve latencies in the affected and in the sound sides, and maximal motor nerve conduction velocities, as well as motor terminal latencies from the right median and peroneal nerves. CSF laboratory examination was normal in all cases. Facial nerve latencies were abnormal in all patients in the affected side, and they differed significantly from those of control group in the clinically sound side. Half of the patients showed abnormal values in the maximal motor nerve conduction velocities and motor terminal latencies of the right median and peroneal nerves. These results agree with previous reports which have pointed out that other cranial nerves may be affected in Bell's palsy. However, we have found a higher frequency of peripheral nerve involvement in this entity. These findings, support the hypothesis that in some patients Bell's palsy is the component of a more widespread disease, affecting other cranial and peripheral nerves.
MIDAS™ DEMONSTRATION PLOTS IN BELL PEPPER
A demonstration trial comparing MIDAS™ (methyl iodide:chloropicrin 50:50) to methyl bromide:chloropicrin (67:33) was conducted in Saint Lucie County, FL on a commercial bell pepper production farm. Methyl bromide:chloropicrin was shank injected into performed beds at 392 kg/ha using three 25 cm dee...
Faulkner's Southern belle - myth or reality?
Directory of Open Access Journals (Sweden)
Nataša Intihar Klančar
2011-12-01
Full Text Available The article deals with heroines of William Faulkner's novels Light in August, Absalom, Absalom!, The Sound and the Fury, The Unvanquished, The Town and his short story "A Rose for Emily". The Southern belle features as a recurring character in Faulkner's fiction, her fragility, modesty, weakness yet strength, beauty, sincerity, generous nature, status and her fall from innocence comprise her central characteristics. Confronted with various expectations of Southern society and with the hardships of war, the belle is faced with many obstacles and challenges. Faulkner's heroines face a wide array of problems that prevent them from being and/or remaining a Southern belle. Let us name a few: Lena's inappropriate social status, Joanna's wrong roots, Mrs. Hightower's inability to fulfill her duties as the minister's wife, Ellen's miserable marriage, Judith's sad love life, Rosa's feelings of inferiority and humiliation, Mrs. Compson's failure as a mother, Caddy's weak rebellion against male convention, Drusilla's male characteristics, Linda's unrequited love and Emily's dark secret, to name a few. Through these characters and their destinies Faulkner shows a decaying South whose position has changed considerably over the years. Can the Southern belle save it? Can she save herself?
Baby Bell Libraries?--An Update.
Kessler, Jack
1993-01-01
Discusses the emerging three-tiered structure (i.e., the "Baby Bells," network nodes, and information marketers) that will assume responsibility for implementing a new national information network and getting networked information to the public. The role of libraries related to networked information is also considered. (EA)
Liu, Cheng-cheng; Shi, Jia-dong; Ding, Zhi-yong; Ye, Liu
2016-08-01
In this paper, the effect of external magnet field g on the relationship among the quantum discord, Bell non-locality and quantum phase transition by employing quantum renormalization-group (QRG) method in the one-dimensional transverse Ising model is investigated. In our model, external magnet field g can influence the phase diagrams. The results have shown that both the two quantum correlation measures can develop two saturated values, which are associated with two distinct phases: long-ranged ordered Ising phase and the paramagnetic phase with the number of QRG iterations increasing. Additionally, quantum non-locality always existent in the long-ranged ordered Ising phase no matter whatever the value of g is and what times QRG steps are carried out and we conclude that the quantum non-locality always exists not only suitable for the two sites of block, but for nearest-neighbor blocks in the long-ranged ordered Ising phase. However, the block-block correlation in the paramagnetic phase is not strong enough to violate the Bell-CHSH inequality as the size of system becomes large. Furthermore, when the system violates the CHSH inequality, i.e., satisfies quantum non-locality, it needs to be entangled. On the other way, if the system obeys the CHSH inequality, it may be entangled or not. To gain further insight, the non-analytic and scaling behavior of QD and Bell non-locality have also been analyzed in detail and this phenomenon indicates that the behavior of the correlation can perfectly help one to observe the quantum critical properties of the model.
DEFF Research Database (Denmark)
Blank, N; Diderichsen, Finn
1996-01-01
of the study is to analyse the interaction between socio-economic and personal circumstances in explaining inequalities in health. It is based on a theoretical framework which presupposes that inequalities in health are likely to be explained by a complicated process involving a multitude of factors....... At the same time, differential exposures and differential responses to risk factors between socio-economic classes for certain health outcomes are determined. The joint effect on general health status, seven years later, of being a manual worker and having reported psychosomatic symptoms is 113% greater than...... would have been expected on the assumption of additivity of the singular effects of these variables. It is suggested that it is necessary to highlight in further research the complex interactions and pathways between factors associated with health outcomes to improve our understanding of the causal...
DEFF Research Database (Denmark)
Gondan, Matthias; Heckel, A.
2008-01-01
In speeded response tasks with redundant signals, parallel processing of the redundant signals is generally tested using the so-called race inequality. The race inequality states that the distribution of fast responses for a redundant stimulus never exceeds the summed distributions of fast...... responses for the single stimuli. It has been pointed out that fast guesses (e.g. anticipatory responses) interfere with this test, and a correction procedure ('kill-the-twin' procedure) has been suggested. In this note we formally derive this procedure and extend it to the case in which redundant stimuli...... are presented with onset asynchrony. We demonstrate how the kill-the-twin procedure is used in a statistical test of the race model prediction....
DEFF Research Database (Denmark)
Frederiksen, Anders; Poulsen, Odile
In recent decades most developed countries have experienced an increase in income inequality. In this paper, we use an equilibrium search framework to shed additional light on what is causing an income distribution to change. The major benefit of the model is that it can accommodate shocks...... to the skill composition in the market, employee bargaining power and productivity. Further, when our model is subjected to skill-upgrading and changes in employee bargaining power, it is capable of predicting the recent changes observed in the Danish income distribution. In addition, the model emphasizes...... that shocks to the employees' relative productivity, i.e., skill-biased technological change, are unlikely to have caused the increase in income inequality....
Tackling Health Inequalities Locally
DEFF Research Database (Denmark)
Diderichsen, Finn; Scheele, Christian Elling; Little, Ingvild Gundersen
issues are all relevant here. Can we identify obstacles to and means of promoting the involvement of local policymakers within education, social care, labourmarket, environment etc. in a coordinated effort to tackle health inequalities in a Scandinavian context? The present report is the result......The Scandinavian countries and their welfare policies have long been known for their ability to reduce income inequality while boosting economic growth. Recent research from OECD has indicated that the Scandinavian countries are indeed examples of a more general positive relationship between...... areas for future Nordic collaboration on health (94). The fact that all of the Nordic countries share this growing problem as well as a political ambition to deal with it brought the issue onto Könberg’s list. The Nordic Council of Ministers also recently listed the sustainability of the Nordic welfare...
Chartbook of economic inequality
Atkinson, Anthony B.; Salvatore Morelli
2014-01-01
The purpose of this Chartbook is to present a summary of evidence about long-run changes in economic inequality – primarily income, earnings, and wealth – for 25 countries covering more than one hundred years. There is a range of countries and they account for more than a third of the world’s population: Argentina, Brazil, Australia, Canada, Finland, France, Germany, Iceland, India, Indonesia, Italy, Japan, Malaysia, Mauritius, Netherlands, New Zealand, Norway, Portugal, Singapore, South Afri...
Sunstein, Cass Robert; Ullmann-Margalit, Edna
2002-01-01
Inequalities often persist because both the advantaged and the disadvantaged stand to lose from change. Despite the probability of loss, moral indignation can lead the disadvantaged to seek to alter the status quo, by encouraging them to sacrifice their material self-interest for the sake of equality. Experimental research shows that moral indignation, understood as a willingness to suffer in order to punish unfair treatment by others, is widespread. It also indicates that a propensity to app...
Prát, Šárka
2013-01-01
This thesis project has the aim of analysing the development of inequality in Mexico, income redistribution, and future possibilities of investment into the educational system. Human capital is one of the determinants of economic growth. Although human capital includes health, education, and social capital, the major focus of this diploma thesis is on education. Education becomes a suitability criterion for employment in all sectors of industry. Everyone is rewarded for exercising the knowled...
Addressing Environmental Health Inequalities.
Gouveia, Nelson
2016-01-01
Environmental health inequalities refer to health hazards disproportionately or unfairly distributed among the most vulnerable social groups, which are generally the most discriminated, poor populations and minorities affected by environmental risks. Although it has been known for a long time that health and disease are socially determined, only recently has this idea been incorporated into the conceptual and practical framework for the formulation of policies and strategies regarding health. In this Special Issue of the International Journal of Environmental Research and Public Health (IJERPH), "Addressing Environmental Health Inequalities-Proceedings from the ISEE Conference 2015", we incorporate nine papers that were presented at the 27th Conference of the International Society for Environmental Epidemiology (ISEE), held in Sao Paulo, Brazil, in 2015. This small collection of articles provides a brief overview of the different aspects of this topic. Addressing environmental health inequalities is important for the transformation of our reality and for changing the actual development model towards more just, democratic, and sustainable societies driven by another form of relationship between nature, economy, science, and politics. PMID:27618906
On Hardy-type integral inequalities
Institute of Scientific and Technical Information of China (English)
冷拓; 冯勇
2013-01-01
The Hardy integral inequality is one of the most important inequalities in analysis. The present paper establishes some new Copson-Pachpatte (C-P) type inequal-ities, which are the generalizations of the Hardy integral inequalities on binary functions.
Some integral inequalities on time scales
Institute of Scientific and Technical Information of China (English)
Adnan Tuna; Servet Kutukcu
2008-01-01
In this article, we study the reverse Holder type inequality and Holder in-equality in two dimensional case on time scales. We also obtain many integral inequalities by using H(o)lder inequalities on time scales which give Hardy's inequalities as spacial cases.
Some Nonlinear Dynamic Inequalities on Time Scales
Indian Academy of Sciences (India)
Wei Nian Li; Weihong Sheng
2007-11-01
The aim of this paper is to investigate some nonlinear dynamic inequalities on time scales, which provide explicit bounds on unknown functions. The inequalities given here unify and extend some inequalities in (B G Pachpatte, On some new inequalities related to a certain inequality arising in the theory of differential equation, J. Math. Anal. Appl. 251 (2000) 736--751).
Conference on Inequalities and Applications
Losonczi, László; Gilányi, Attila; Páles, Zsolt; Plum, Michael
2009-01-01
Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. On one hand, there is the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand, the subject is the source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This volume contains the contributions of the participants of th...
Improvement of AczÃƒÂ©l's Inequality and Popoviciu's Inequality
Directory of Open Access Journals (Sweden)
Shanhe Wu
2007-06-01
Full Text Available We generalize and sharpen AczÃƒÂ©l's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of AczÃƒÂ©l's inequality and Popoviciu's inequality is given. As application, an integral inequality of AczÃƒÂ©l-Popoviciu type is established.
Inequality and Labor Market Institutions
Florence Jaumotte; Carolina Osorio
2015-01-01
The SDN examines the role of labor market institutions in the rise of income inequality in advanced economies, alongside other determinants. The evidence strongly indicates that de-unionization is associated with rising top earnersâ€™ income shares and less redistribution, while eroding minimum wages are related to increases in overall income inequality. The results, however, also suggest that a lack of representativeness of unions may be associated with higher inequality. These findings do n...
Educational Policies and Income Inequality
Checchi, Daniele; Werfhorst, Herman G. van de
2014-01-01
In this paper we study the associations between educational policies, distributions of educational attainments and income distributions. By matching inequality measures on test scores, years of education and labour earnings by country, birth cohorts and gender, we show that inequality in education (measured both at quality and quantity levels) affect earnings inequality. We then consider potential endogeneity of educational distributions and we resort to instrumental estimation using informat...
Geometric inequalities for black holes
Dain, Sergio
2014-01-01
It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. In this article recent results in this subject are reviewed.
Income Inequality and Mental Health
Grace Lordan; Prasada Rao; Lucy Bechtel
2012-01-01
The causal association between absolute income and health is well established, however the relationship between income inequality and health is not. The conclusions from the received studies vary across the region or country studied and/or the methodology employed. Using the Household, Income and Labour Dynamics in Australia panel survey, this paper investigates the relationship between mental health and inequality in Australia. A variety of income inequality indices are calculated to test bo...
Non-commutative Nash inequalities
Energy Technology Data Exchange (ETDEWEB)
Kastoryano, Michael [NBIA, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen (Denmark); Temme, Kristan [Institute for Quantum Information and Matter, California Institute of Technology, Pasadena California 91125 (United States)
2016-01-15
A set of functional inequalities—called Nash inequalities—are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative L{sub p} spaces, where their relationship to Poincaré and log-Sobolev inequalities is fleshed out. We prove Nash inequalities for a number of unital reversible semigroups.
The Geography of Gender Inequality
Brendan Fisher; Robin Naidoo
2016-01-01
Reducing gender inequality is a major policy concern worldwide, and one of the Sustainable Development Goals. However, our understanding of the magnitude and spatial distribution of gender inequality results either from limited-scale case studies or from national-level statistics. Here, we produce the first high resolution map of gender inequality by analyzing over 689,000 households in 47 countries. Across these countries, we find that male-headed households have, on average, 13% more asset ...
A Modest View of Bell's Theorem
Boughn, Stephen
2016-01-01
In the 80 years since the seminal Einstein, Podolsky, and Rosen (EPR) paper, physicists and philosophers have mused about the `spooky action at a distance' aspect of quantum mechanics that so bothered Einstein. In his formal analysis of EPR-type entangled quantum states, Bell (1964) concluded that any hidden variable theory designed to reproduce the predictions of quantum mechanics must necessarily be nonlocal and allow superluminal interactions. This doesn't immediately imply that nonlocality is a characteristic feature of quantum mechanics let alone a fundamental property of nature; however, many physicists and philosophers of science do harbor this belief. Experts in the field often use the term `nonlocality' to designate particular non-classical aspects of quantum entanglement and do not confuse the term with superluminal interactions. However, many physicists seem to take the term more literally. I endeavor to disabuse the latter of this notion by emphasizing that the correlations of Bell-type entangleme...
A quantum loophole to Bell nonlocality
Romero-Rochin, Victor
2015-01-01
We argue that the conclusion of Bell theorem, namely, that there must be spatial non-local correlations in certain experimental situations, does not apply to typical individual measurements performed on entangled EPR pairs. Our claim is based on three points, (i) on the notion of quantum {\\it complete measurements}; (ii) on Bell results on local yet distant measurements; and (iii) on the fact that perfect simultaneity is banned by the quantum mechanics. We show that quantum mechanics indicates that, while the measurements of the pair members are indeed space-like separated, the pair measurement is actually a sequence of two complete measurements, the first one terminating the entanglement and, therefore, the second one becoming unrelated to the initial preparation of the entangled pair. The outstanding feature of these measurements is that neither of them violates the principle of locality. We discuss that the present measurement viewpoint appears to run contrary to the usual interpretation of "superposition"...
Unification of multiqubit polygamy inequalities
Kim, Jeong San
2012-03-01
I establish a unified view of polygamy of multiqubit entanglement. I first introduce a two-parameter generalization of the entanglement of assistance, namely, the unified entanglement of assistance for bipartite quantum states, and provide an analytic lower bound in two-qubit systems. I show a broad class of polygamy inequalities of multiqubit entanglement in terms of the unified entanglement of assistance that encapsulates all known multiqubit polygamy inequalities as special cases. I further show that this class of polygamy inequalities can be improved into tighter inequalities for three-qubit systems.
Geometric inequalities for black holes
Energy Technology Data Exchange (ETDEWEB)
Dain, Sergio [Universidad Nacional de Cordoba (Argentina)
2013-07-01
Full text: A geometric inequality in General Relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the Kerr-Newman black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities, which are valid in the dynamical and strong field regime, play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. In this talk I will review recent results in this subject. (author)
Rising Wage Inequality in Germany
Gernandt, Johannes; Pfeiffer, Friedhelm
2006-01-01
This paper investigates the evolution of wages and the recent tendency to rising wage inequality in Germany, based on the German Socio-Economic Panel (GSOEP) for 1984 to 2004. Between 1984 and 1994 the wage distribution was fairly stable. Wage inequality started to increase around 1994 in Germany for all workers and for prime age dependent male workers as well. Rising inequality is not the result of the recent rise in self-employment. In West Germany rising inequality occurred in the lower pa...
HEISENBERG'S INEQUALITY IN SOBOLEV SPACES
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
Using the correspondence between psedodifferential operator and its symbol,the authors obtain Heisenberg's inequality in Sobolev spaces and therefore a kind of quantitative representation of uncertainty principle.
Radiative and Electroweak Penguins at Belle
Hyun, HyoJung
2010-02-01
Radiative and electroweak penguin decays of B mesons are a sensitive probe of new physics beyond the Standard Model. We study the inclusive and exclusive radiative and electroweak penguin decays of B meson and also search an exotic particle seen by the HyperCP experiment. The measurements are based on a large data sample of 605 fb-1 containing 657 millions BB¯ pairs collected at the Υ(4S) with the Belle detector at the KEKB energy asymmetric e+e- collider.
Bell Experiments with Random Destination Sources
Sciarrino, F.; Vallone, G.; Cabello, A.; Mataloni, P.
2010-01-01
It is generally assumed that sources sending randomly two particles to one or two different observers, named here random destination sources (RDS), cannot by used for genuine quantum nonlocality tests because of the postselection loophole. We demonstrate that Bell experiments not affected by the postselection loophole may be performed with: (i) RDS and local postselection using perfect detectors, (ii) RDS, local postselection, and fair sampling assumption with any detection efficiency, and (i...
Relational interpretation of the wave function and a possible way around Bell's theorem
Filk, T
2006-01-01
The famous ``spooky action at a distance'' in the EPR-szenario is shown to be a local interaction, once entanglement is interpreted as a kind of ``nearest neighbor'' relation among quantum systems. Furthermore, the wave function itself is interpreted as encoding the ``nearest neighbor'' relations between a quantum system and spatial points. This interpretation becomes natural, if we view space and distance in terms of relations among spatial points. Therefore, ``position'' becomes a purely relational concept. This relational picture leads to a new perspective onto the quantum mechanical formalism, where many of the ``weird'' aspects, like the particle-wave duality, the non-locality of entanglement, or the ``mystery'' of the double-slit experiment, disappear. Furthermore, this picture cirumvents the restrictions set by Bell's inequalities, i.e., a possible (realistic) hidden variable theory based on these concepts can be local and at the same time reproduce the results of quantum mechanics.
A New Method to Study Analytic Inequalities
Directory of Open Access Journals (Sweden)
Xiao-Ming Zhang
2010-01-01
Full Text Available We present a new method to study analytic inequalities involving n variables. Regarding its applications, we proved some well-known inequalities and improved Carleman's inequality.
Intelligent comparisons analytic inequalities
Anastassiou, George A
2016-01-01
This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book’s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University libraries. .
Inequality and environmental policy
Somanathan, E.
2002-01-01
A positive theory of mitigation of environmental degradation is discussed in order to understand the formation of environmental policy. When an environmental problem is not mitigated, this is because those affected don't know it is happening, cannot locate the cause, don't have the resources to abate the problem if they are its producers, or don't have the political power to influence policy to stop the problem if they are not its producers. The last is related to inequalities in political po...
Bell's palsy: A Case Report and Literature Review
Directory of Open Access Journals (Sweden)
Tashika Kushraj
2014-06-01
Full Text Available Bell's palsy is considered as a disease of exclusion. It is a form of lower motor neuron paralysis affecting the facial muscles. Rapid onset of paralysis causes panic to the patients. For speedy recovery, correct diagnosis and early treatment are crucial. Here a case of Bell's palsy is reported and the literature on Bell's palsy is reviewed. [Cukurova Med J 2014; 39(3.000: 581-588
Closing the Detection Loophole in Bell Experiments Using Qudits
Vértesi, Tamás; Pironio, Stefano; Brunner, Nicolas
2010-01-01
We show that the detection efficiencies required for closing the detection loophole in Bell tests can be significantly lowered using quantum systems of dimension larger than two. We introduce a series of asymmetric Bell tests for which an efficiency arbitrarily close to 1/N can be tolerated using N-dimensional systems, and a symmetric Bell test for which the efficiency can be lowered down to 61.8% using four-dimensional systems. Experimental perspectives for our schemes look promising conside...
On New Proofs of Fundamental Inequalities with Applications
Ray, Partha
2010-01-01
By using the Cauchy-Schwarz inequality a new proof of several standard inequalities is given. A new proof of Young's inequality is given by using Holder's inequality. A new application of the above inequalities is included.
Brandolini, L; Gigante, G; Travaglini, G
2011-01-01
The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth functions $f\\chi_{\\Omega}$, with $f$ smooth and $\\Omega $ a Borel subset of $[0,1]^{d}$.
Conclusions: inequality, impacts, and policies
W. Salverda; B. Nolan; D. Checchi; I. Marx; A. McKnight; I.G. Tóth; H. van de Werfhorst
2014-01-01
Keeping economic inequality in check is an uphill battle, though countries differ. General drivers seem mediated, moderated, accelerated or perhaps even replaced by demographic, institutions or policy-making changes. Growing inequality is not found robustly linked to worsening social outcomes (healt
Non-commutative Hardy inequalities
DEFF Research Database (Denmark)
Hansen, Frank
2009-01-01
We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1 1. Applications to trace functions are given. We introduce the tracial geometric mean...... and generalize Carleman's inequality....
Inequalities, Assessment and Computer Algebra
Sangwin, Christopher J.
2015-01-01
The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in…
Inequality and riots: experimental evidence
K. Abbink; D. Masclet; D. Mirza
2009-01-01
We study the relationship between inequality and inter-groups conflicts (riots), focussing on social inequality. Disadvantaged societal groups experience discrimination and thus have limited access to some social and labour resources like education or employment. The aim of our paper is twofold. Fir
The Geography of Gender Inequality.
Fisher, Brendan; Naidoo, Robin
2016-01-01
Reducing gender inequality is a major policy concern worldwide, and one of the Sustainable Development Goals. However, our understanding of the magnitude and spatial distribution of gender inequality results either from limited-scale case studies or from national-level statistics. Here, we produce the first high resolution map of gender inequality by analyzing over 689,000 households in 47 countries. Across these countries, we find that male-headed households have, on average, 13% more asset wealth and 303% more land for agriculture than do female-headed households. However, this aggregate global result masks a high degree of spatial heterogeneity, with bands of both high inequality and high equality apparent in countries and regions of the world. Further, areas where inequality is highest when measured by land ownership generally are not the same areas that have high inequality as measured by asset wealth. Our metrics of gender inequality in land and wealth are not strongly correlated with existing metrics of poverty, development, and income inequality, and therefore provide new information to increase the understanding of one critical dimension of poverty across the globe. PMID:26930356
Emile Galle ja legendaarne Belle Epoque / Kärt Kross
Kross, Kärt
2008-01-01
1811. aastal rajatud Perrier-Jouet shampanjamajast ja shampanjast Belle Epoque, mille lillemotiividega pudeli disainis prantsuse klaasikunstnik Emile Galle (1846-1904). Kunstniku eluloolisi andmeid, loomingust
Experimental Data Does Not Violate Bell's Inequality for "Right Kolmogorov Space''
DEFF Research Database (Denmark)
Fischer, Paul; Avis, David; Hilbert, Astrid;
2008-01-01
of polarization beam splitters (PBSs). In fact, such data consists of some conditional probabilities which only partially define a probability space. Ignoring this conditioning leads to apparent contradictions in the classical probabilistic model (due to Kolmogorov). We show how to make a completely consistent...... probabilistic model by taking into account the probabilities of selecting the settings of the PBSs. Our model matches both the experimental data and is consistent with classical probability theory....
Nested Inequalities Among Divergence Measures
Taneja, Inder Jeet
2011-01-01
In this paper we have considered a single inequality having 11 known divergence measures. This inequality include measures like: Jeffryes-Kullback-Leiber J-divergence, Jensen-Shannon divergence (Burbea-Rao, 1982), arithmetic-geometric mean divergence (Taneja, 1995), Hellinger discrimination, symmetric chi-square divergence, triangular discrimination, etc. All these measures are well-known in the literature on Information theory and Statistics. This sequence of 11 measures also include measures due to Kumar and Johnson (2005) and Jain and Srivastava (2007). Three measures arising due to some mean divergences also appears in this inequality. Based on non-negative differences arising due to this single inequality of 11 measures, we have put more than 40 divergence measures in nested or sequential form. Idea of reverse inequalities is also introduced.
Addressing Environmental Health Inequalities
Gouveia, Nelson
2016-01-01
Environmental health inequalities refer to health hazards disproportionately or unfairly distributed among the most vulnerable social groups, which are generally the most discriminated, poor populations and minorities affected by environmental risks. Although it has been known for a long time that health and disease are socially determined, only recently has this idea been incorporated into the conceptual and practical framework for the formulation of policies and strategies regarding health. In this Special Issue of the International Journal of Environmental Research and Public Health (IJERPH), “Addressing Environmental Health Inequalities—Proceedings from the ISEE Conference 2015”, we incorporate nine papers that were presented at the 27th Conference of the International Society for Environmental Epidemiology (ISEE), held in Sao Paulo, Brazil, in 2015. This small collection of articles provides a brief overview of the different aspects of this topic. Addressing environmental health inequalities is important for the transformation of our reality and for changing the actual development model towards more just, democratic, and sustainable societies driven by another form of relationship between nature, economy, science, and politics. PMID:27618906
Universal patterns of inequality
Banerjee, Anand; Yakovenko, Victor M.
2010-07-01
Probability distributions of money, income and energy consumption per capita are studied for ensembles of economic agents. The principle of entropy maximization for partitioning of a limited resource gives exponential distributions for the investigated variables. A non-equilibrium difference of money temperatures between different systems generates net fluxes of money and population. To describe income distribution, a stochastic process with additive and multiplicative components is introduced. The resultant distribution interpolates between exponential at the low end and power law at the high end, in agreement with the empirical data for the USA. We show that the increase in income inequality in the USA originates primarily from the increase in the income fraction going to the upper tail, which now exceeds 20% of the total income. Analyzing the data from the World Resources Institute, we find that the distribution of energy consumption per capita around the world can be approximately described by the exponential function. Comparing the data for 1990, 2000 and 2005, we discuss the effect of globalization on the inequality of energy consumption.
Kleinberg, Robert
2012-01-01
Consider a gambler who observes a sequence of independent, non-negative random numbers and is allowed to stop the sequence at any time, claiming a reward equal to the most recent observation. The famous prophet inequality of Krengel, Sucheston, and Garling asserts that a gambler who knows the distribution of each random variable can achieve at least half as much reward, in expectation, as a "prophet" who knows the sampled values of each random variable and can choose the largest one. We generalize this result to the setting in which the gambler and the prophet are allowed to make more than one selection, subject to a matroid constraint. We show that the gambler can still achieve at least half as much reward as the prophet; this result is the best possible, since it is known that the ratio cannot be improved even in the original prophet inequality, which corresponds to the special case of rank-one matroids. Generalizing the result still further, we show that under an intersection of p matroid constraints, the ...
An Asymptotic Formula for r-Bell Numbers with Real Arguments
Corcino, Cristina B.; Corcino, Roberto B.
2013-01-01
The r-Bell numbers are generalized using the concept of the Hankel contour. Some properties parallel to those of the ordinary Bell numbers are established. Moreover, an asymptotic approximation for r-Bell numbers with real arguments is obtained.
DEFF Research Database (Denmark)
Jørgensen, C. Barker
2003-01-01
History of nerves, Bell's Idea, Bell-Magendie law, Bell-Magendie controversy, Charles Bell, Francois Magendie, P.W. Lund, D.F. Eschricht, Herbert Mayo, Johannes Müller, Claude Bernard, spinal nerve roots, cranial nerves, recurrent sensitivity......History of nerves, Bell's Idea, Bell-Magendie law, Bell-Magendie controversy, Charles Bell, Francois Magendie, P.W. Lund, D.F. Eschricht, Herbert Mayo, Johannes Müller, Claude Bernard, spinal nerve roots, cranial nerves, recurrent sensitivity...
77 FR 64439 - Airworthiness Directives; Bell Helicopter Textron Canada (Bell) Model Helicopters
2012-10-22
... converter, and AFCS air data computer adapter module for each helicopter, assuming 8 work hours for each... Bell Model 430 helicopters, which would require replacing certain components of the air data system... rulemaking by submitting written comments, data, or views. We also invite comments relating to the...
The Belle II Silicon Vertex Detector
Energy Technology Data Exchange (ETDEWEB)
Friedl, M., E-mail: markus.friedl@oeaw.ac.at [HEPHY – Institute of High Energy Physics, Nikolsdorfer Gasse 18, 1050 Vienna (Austria); Ackermann, K. [MPI Munich, Föhringer Ring 6, 80805 München (Germany); Aihara, H. [University of Tokyo, Department of Physics, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan); Aziz, T. [Tata Institute of Fundamental Research, Experimental High Energy Physics Group, Homi Bhabha Road, Mumbai 400 005 (India); Bergauer, T. [HEPHY – Institute of High Energy Physics, Nikolsdorfer Gasse 18, 1050 Vienna (Austria); Bozek, A. [Institute of Nuclear Physics, Division of Particle Physics and Astrophysics, ul. Radzikowskiego 152, 31 342 Krakow (Poland); Campbell, A. [DESY, Notkestrasse 85, 22607 Hamburg (Germany); Dingfelder, J. [University of Bonn, Department of Physics and Astronomy, Nussallee 12, 53115 Bonn (Germany); Drasal, Z. [Charles University, Institute of Particle and Nuclear Physics, Ke Karlovu 3, 121 16 Praha 2 (Czech Republic); Frankenberger, A. [HEPHY – Institute of High Energy Physics, Nikolsdorfer Gasse 18, 1050 Vienna (Austria); Gadow, K. [DESY, Notkestrasse 85, 22607 Hamburg (Germany); Gfall, I. [HEPHY – Institute of High Energy Physics, Nikolsdorfer Gasse 18, 1050 Vienna (Austria); Haba, J.; Hara, K.; Hara, T. [KEK, 1-1 Oho, Tsukuba, Ibaraki 305-0801 (Japan); Higuchi, T. [University of Tokyo, Kavli Institute for Physics and Mathematics of the Universe, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8583 (Japan); Himori, S. [Tohoku University, Department of Physics, Aoba Aramaki Aoba-ku, Sendai 980-8578 (Japan); Irmler, C. [HEPHY – Institute of High Energy Physics, Nikolsdorfer Gasse 18, 1050 Vienna (Austria); Ishikawa, A. [Tohoku University, Department of Physics, Aoba Aramaki Aoba-ku, Sendai 980-8578 (Japan); Joo, C. [Seoul National University, High Energy Physics Laboratory, 25-107 Shinlim-dong, Kwanak-gu, Seoul 151-742 (Korea, Republic of); and others
2013-12-21
The KEKB machine and the Belle experiment in Tsukuba (Japan) are now undergoing an upgrade, leading to an ultimate luminosity of 8×10{sup 35}cm{sup −2}s{sup −1} in order to measure rare decays in the B system with high statistics. The previous vertex detector cannot cope with this 40-fold increase of luminosity and thus needs to be replaced. Belle II will be equipped with a two-layer Pixel Detector surrounding the beam pipe, and four layers of double-sided silicon strip sensors at higher radii than the old detector. The Silicon Vertex Detector (SVD) will have a total sensitive area of 1.13m{sup 2} and 223,744 channels—twice as many as its predecessor. All silicon sensors will be made from 150 mm wafers in order to maximize their size and thus to reduce the relative contribution of the support structure. The forward part has slanted sensors of trapezoidal shape to improve the measurement precision and to minimize the amount of material as seen by particles from the vertex. Fast-shaping front-end amplifiers will be used in conjunction with an online hit time reconstruction algorithm in order to reduce the occupancy to the level of a few percent at most. A novel “Origami” chip-on-sensor scheme is used to minimize both the distance between strips and amplifier (thus reducing the electronic noise) as well as the overall material budget. This report gives an overview on the status of the Belle II SVD and its components, including sensors, front-end detector ladders, mechanics, cooling and the readout electronics.
Directory of Open Access Journals (Sweden)
Sandra Fischer
2000-11-01
Full Text Available This article presents a study of the film Belle de jour, by Luis Buñuel, based on the text “Sobre a poética da carnaval ização em Luis Buñuel” by Eduardo Peñuela Cañizal, on Mikhail Bakhtin’s theoretical conception about carnival, on Gaston Bachelard’s ideas about the oneiric, on Sigmund Freud’s psychoanalysis and on the notion of the frame structure sustained by Groupe p.
Optimal randomness generation from optical Bell experiments
International Nuclear Information System (INIS)
Genuine randomness can be certified from Bell tests without any detailed assumptions on the working of the devices with which the test is implemented. An important class of experiments for implementing such tests is optical setups based on polarization measurements of entangled photons distributed from a spontaneous parametric down conversion source. Here we compute the maximal amount of randomness which can be certified in such setups under realistic conditions. We provide relevant yet unexpected numerical values for the physical parameters and achieve four times more randomness than previous methods. (fast track communication)
Bell's conspiracy, Schrödinger's black cat and global invariant sets.
Palmer, T N
2015-08-01
A locally causal hidden-variable theory of quantum physics need not be constrained by the Bell inequalities if this theory also partially violates the measurement independence condition. However, such violation can appear unphysical, implying implausible conspiratorial correlations between the hidden variables of particles being measured and earlier determinants of instrumental settings. A novel physically plausible explanation for such correlations is proposed, based on the hypothesis that states of physical reality lie precisely on a non-computational measure-zero dynamically invariant set in the state space of the universe: the Cosmological Invariant Set Postulate. To illustrate the relevance of the concept of a global invariant set, a simple analogy is considered where a massive object is propelled into a black hole depending on the decay of a radioactive atom. It is claimed that a locally causal hidden-variable theory constrained by the Cosmological Invariant Set Postulate can violate the Clauser-Horne-Shimony-Holt inequality without being conspiratorial, superdeterministic, fine-tuned or retrocausal, and the theory readily accommodates the classical compatibilist notion of (experimenter) free will. PMID:26124256
Happiness Inequality: How Much Is Reasonable?
Gandelman, Nestor; Porzecanski, Rafael
2013-01-01
We compute the Gini indexes for income, happiness and various simulated utility levels. Due to decreasing marginal utility of income, happiness inequality should be lower than income inequality. We find that happiness inequality is about half that of income inequality. To compute the utility levels we need to assume values for a key parameter that…
Jensen's operator inequality and its converses
DEFF Research Database (Denmark)
Hansen, Frank; Pecaric, Josip; Peric, Ivan
2007-01-01
We give a general formulation of Jensen's operator inequality for unital fields of positive linear mappings, and we consider different types of converse inequalities......We give a general formulation of Jensen's operator inequality for unital fields of positive linear mappings, and we consider different types of converse inequalities...
The Oxford handbook of economic inequality
W. Salverda; B. Nolan; T.M. Smeeding
2009-01-01
The essential guide for students and researchers interested in economic inequality Contains 27 original research contributions from the top names in economic inequality. The Oxford Handbook of Economic Inequality presents a new and challenging analysis of economic inequality, focusing primarily on e
DEFF Research Database (Denmark)
Dybbroe, Betina; Kappel, Nanna
The overall purpose of the research we want to present, is to discuss how social inequality in health can both be maintained and strengthened- and changed through the health system and health efforts. Our contribution provides a view of a special point of intersection in which the health system....... The health system has certain goals, rationalities and conditions for practice based on the medical paradigm, institutional logics, professional cultures and New Public. The health needs of the socially marginalised are, on the other hand, woven into complex social issues in which social and health aspects...... cannot be separated. Their conditions and needs are different and separate from the way the health system perceives of the “average” patient, and this is demonstrated in the encounter between this group of citizens and the health system. We will present short examples of how the health and welfare goals...
Eugenics Past and Present: Remembering Buck v. Bell.
Berson, Michael J.; Cruz, Barbara
2001-01-01
Provides background information about the eugenics movement. Focuses on eugenics in the United States detailing the case, Buck v. Bell, and eugenics in Germany. Explores the present eugenic movement, focusing on "The Bell Curve," China's one child policy, and the use of eugenic sterilizations in the United States and Canada. Includes strategies…
Indistinguishability of orthogonal time-separated bell states
Institute of Scientific and Technical Information of China (English)
Tan Yong-Gang; Cai Qing-Yu; Shi Ting-Yun
2008-01-01
This paper proves that it is impossible to identify orthogonally time-separated Bell states.If two qubits of a Bell state interact with the measurement apparatus at different time,any attempt to identify this state will disturb it.
Bell clapper impact dynamics and the voicing of a carillon
Fletcher, N. H.; McGee, W. T.; Tarnopolsky, A. Z.
2002-03-01
The periodic re-voicing of the bell clappers of the Australian National Carillon in Canberra provided an opportunity for the study of the acoustic effects of this operation. After prolonged playing, the impact of the pear-shaped clapper on a bell produces a significant flat area on both the clapper and the inside surface of the bell. This deformation significantly decreases the duration of the impact event and has the effect of increasing the relative amplitude of higher modes in the bell sound, making it ``brighter'' or even ``clangy.'' This effect is studied by comparing the spectral envelope of the sounds of several bells before and after voicing. Theoretical analysis shows that the clapper actually strikes the bell and remains in contact with the bell surface until it is ejected by a displacement pulse that has traveled around the complete circumference of the bell. The contact time, typically about 1 ms, is therefore much longer than the effective impact time, which is only a few tenths of a millisecond. Both the impact time and the contact time are reduced by the presence of a flat on the clapper.
The Belle II experiment: fundamental physics at the flavor frontier
de la Cruz, Ivan Heredia
2016-01-01
After the major success of B-factories to establish the CKM mechanism and its proven potential to search for new physics, the Belle II experiment will continue exploring the physics at the flavor frontier over the next years. Belle II will collect 50 times more data than its predecessor, Belle, and allow for various precision measurements and searches of rare decays and particles. This paper introduces the B-factory concept and the flavor frontier approach to search for new physics. It then describes the SuperKEKB accelerator and the Belle II detector, as well as some of the physics that will be analyzed in Belle II, concluding with the experiment status and schedule.
Vertexing and Tracking Software at Belle II
Schlüter, Tobias
2014-01-01
Belle II is a $B$ factory experiment aiming to start physics data taking in 2017. It is currently being set up at the SuperKEKB accelerator at the KEK facility in Tsukuba (Japan), an asymmetric $e^+e^-$ collider which aims to achieve an unprecedented instantaneous luminosity of $8\\cdot10^{35} \\textrm{Hz}/\\textrm{cm}^2$. This forty-fold increase over predecessor experiments is achieved by employing a novel nano-beam scheme. Originally developed for the now-defunct SuperB experiment, this scheme allows a significant increase in luminosity at only modest increases of beam currents. Challenges for the vertex detector result from increased data and background rates. At full luminosity, physics data will be recorded at a rate of $30\\,\\textrm{kHz}$. The radiation-hard DEPFET-sensors of the innermost layer of the vertex detector will be read out employing a novel data-reduction scheme using selective detector read out based on online reconstruction of event data. Belle II uses a software framework in which data handl...
Economic inequality predicts biodiversity loss.
Mikkelson, Gregory M; Gonzalez, Andrew; Peterson, Garry D
2007-05-16
Human activity is causing high rates of biodiversity loss. Yet, surprisingly little is known about the extent to which socioeconomic factors exacerbate or ameliorate our impacts on biological diversity. One such factor, economic inequality, has been shown to affect public health, and has been linked to environmental problems in general. We tested how strongly economic inequality is related to biodiversity loss in particular. We found that among countries, and among US states, the number of species that are threatened or declining increases substantially with the Gini ratio of income inequality. At both levels of analysis, the connection between income inequality and biodiversity loss persists after controlling for biophysical conditions, human population size, and per capita GDP or income. Future research should explore potential mechanisms behind this equality-biodiversity relationship. Our results suggest that economic reforms would go hand in hand with, if not serving as a prerequisite for, effective conservation.
Earnings Inequality in Sri Lanka
Arun, Thankom G.; Borooah, Vani
2004-01-01
Since the 1990s, accelerating economic growth has regained its dominance in the anti poverty strategies. However, the rising tendency of income inequity at the global level and within the countries emphasizes the need to incorporate distributional factors to make the pro-poor growth strategies effective. This paper explores the sources of this surge in income inequality in a developing country context. The paper attempts to estimate an earnings function for Sri Lanka based on the household ex...
The Split Variational Inequality Problem
Censor, Yair; Reich, Simeon
2010-01-01
We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding a solution of one Variational Inequality Problem (VIP), the image of which under a given bounded linear transformation is a solution of another VIP. We construct iterative algorithms that solve such problems, under reasonable conditions, in Hilbert space and then discuss special cases, some of which are new even in Euclidean space.
Inequality Aversion and Risk Attitudes
Ramos Morilla, Xavier; Ferrer-i-Carbonell, Ada
2010-01-01
Using self reported measures of life satisfaction and risk attitudes, we empirically test whether there is a relationship between individuals inequality and risk aversion. The empirical analysis uses the German SOEP household panel for the years 1997 to 2007 to conclude that the negative effect of inequality measured by the sample gini coefficient by year and federal state is larger for those individuals who report to be less willing to take risks. Nevertheless, the empirical results suggest ...
Inequity version and team incentives
Rey-Biel, Pedro
2007-01-01
We study optimal contracts in a simple model where employees are averse to inequity as modelled by Fehr and Schmidt (1999). A "selfish" employer can profitably exploit such preferences among its employees by offering contracts which create inequity off-equilibrium and thus, they would leave employees feeling envy or guilt when they do not meet the employer's demands. Such contracts resemble team and relative performance contracts, and thus we derive conditions under which it may be beneficial...
[Economic growth and health inequities].
Tapia Granados, José A
2013-01-01
This essay reviews the relation between health inequities and economic growth. The general meaning of these and ancillary concepts (economic development, health inequalities) is briefly reviewed. Some studies illustrating different hypotheses on the long-run historical evolution of health inequalities are presented, and three case studies -the United States in 1920-1940 and in recent years, Finland during the expansion of the 1980s and the recession of the 1990s- are reviewed to demonstrate the evolution of health inequalities during the periods of expansion and recession in markets economies that conform to the so-called business cycle. Health inequities between ethnic groups and social classes are often found in modern societies, and some of these disparities seem to be widening. Periods of economic expansion do not seem favorable for the lessening of health inequalities. Contrarily, and counter-intuitively, evidence rather suggests that it is during periods of recession that gaps in health between privileged and disadvantaged groups tend to narrow.
Eigenvalues, inequalities and ergodic theory
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
This paper surveys the main results obtained during the period 1992-1999 on three aspects mentioned in the title. The first result is a new and general variational formula for the lower bound of spectral gap (i.e. the first non-trivial eigenvalue) of elliptic operators in Euclidean space, Laplacian on Riemannian manifolds or Markov chains (§1). Here, a probabilistic method -coupling method is adopted. The new formula is a dual of the classical variational formula. The last formula is actually equivalent to Poincaré inequality. To which, there are closely related logarithmic Sobolev inequality, Nash inequality, Liggett inequality and so on. These inequalities are treated in a unified way by using Cheeger's method which comes from Riemannian geometry. This consists of §2. The results on these two aspects are mainly completed by the author joint with F. Y. Wang. Furthermore, a diagram of the inequalities and the traditional three types of ergodicity is presented (§3). The diagram extends the ergodic theory of Markov processes. The details of the methods used in the paper will be explained in a subsequent paper under the same title.
Assessing Brazilian educational inequalities
Directory of Open Access Journals (Sweden)
Benoit Lorel
2008-03-01
Full Text Available This paper provides an evaluation of schooling inequality in Brazil using different indicators such as the Education Gini coefficient, the Education Standard Deviation and the Average number of Years of Schooling. We draw up a statistical description of Brazilian human capital dispersion in time over the last half century, across regions and states. Our analysis suggests several conclusions: 1 Strong reduction of educational inequalities measured by Education Gini index. 2 A three parts picture of Brazil seems to emerge, reflecting initial conditions. 3 High increase of the Average number of Years of Schooling. 4 A significant link between Education Gini and the average education length. 5 Education Standard Deviation leads to inverted results compared to Education Gini. 6 Brazilian data are consistent with an Education Kuznets curve if we consider Education Standard Deviation.Esse trababalho busca avaliar o grau de desigualdade educacional no Brasil baseado-se em diferentes indicatores tais como: o índice de Gini educacional, os anos médios de escolaridade e no desvio padrão educacional. Tenta-se colocar uma descrição estatistica da distribuição do capital humano no Brasil, incluindo as diferenças estaduais e regionais observadas durante a ultima metade do século. As conclusões da nossa análise são as seguintes: 1 Forte reduç ão das desigualdades educativas calculadas com o Gini educacional. 2 Um retrato tripartido do Brasil parece se formar refletindo as condições iniciais. 3 Um forte aumento dos níveis de escolarização. 4 Uma relação significativa entre o Gini educacional e os anos médios de estudos. 5 O desvio padrão educacional leva aos resultados inversos do Gini educacional. 6 Os dados brasileiros admitem uma curva de Kuznets educacional se considerarmos o desvio padrão educacional.
Handbook of functional equations functional inequalities
2014-01-01
As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted G...
Biondi, Franco; Qeadan, Fares
2008-04-01
Paleorecords provide information on past environmental variability, and help define ecological reference conditions by means of changes in their characteristics (accumulation rate, geochemical composition, density, etc.). A measure of temporal dissimilarity, which has traditionally been used in dendrochronology and is called "mean sensitivity," only focuses on first-order time-series lags. In this paper mean sensitivity was extended to all possible lags to derive a mean sensitivity function (MSF). The MSF is equivalent to a one-dimensional form of the paired relative madogram, a tool used in geostatistics to quantify spatial dependence. We then showed that the sum of madograms for all possible time-series lags is encapsulated by a single parameter, the Gini coefficient. This parameter has long been used by econometricians, social scientists, and ecologists as a synthetic, quantitative measure of inequality and diversity. Considering the connection between the MSF and the madogram, and the convenience of summarizing data heterogeneity with a single number, the Gini coefficient is therefore particularly appropriate for succinctly evaluating the diversity of paleorecords. An example of this application is provided by focusing on public domain dendrochronological data for the western conterminous United States.
van de Graaf, R C; IJpma, F F A; Nicolai, J-P A; Werker, P M N
2009-11-01
Bell's palsy is the eponym for idiopathic peripheral facial paralysis. It is named after Sir Charles Bell (1774-1842), who, in the first half of the nineteenth century, discovered the function of the facial nerve and attracted the attention of the medical world to facial paralysis. Our knowledge of this condition before Bell's landmark publications is very limited and is based on just a few documents. In 1804 and 1805, Evert Jan Thomassen à Thuessink (1762-1832) published what appears to be the first known extensive study on idiopathic peripheral facial paralysis. His description of this condition was quite accurate. He located several other early descriptions and concluded from this literature that, previously, the condition had usually been confused with other afflictions (such as 'spasmus cynicus', central facial paralysis and trigeminal neuralgia). According to Thomassen à Thuessink, idiopathic peripheral facial paralysis and trigeminal neuralgia were related, being different expressions of the same condition. Thomassen à Thuessink believed that idiopathic peripheral facial paralysis was caused by 'rheumatism' or exposure to cold. Many aetiological theories have since been proposed. Despite this, the cold hypothesis persists even today.
Simulating Bell states with classical light
Shapiro, Jeffrey H
2011-01-01
Recently, Chen \\em et al\\rm.\\ [New J. Phys. {\\bf 13} (2011) 083018] presented experimental results, accompanied by quantum-mechanical analysis, showing that the quantum interference behavior of Bell states could be simulated in a modified Mach-Zehnder interferometer whose inputs are pseudothermal light beams obtained by passing laser light through a rotating ground-glass diffuser. Their experiments and their theory presumed low-flux operation in which the simulated quantum interference is observed via photon-coincidence counting. We first show that the Chen \\em et al\\rm.\\ photon-coincidence counting experiments can be fully explained with semiclassical photodetection theory, in which light is taken to be a classical electromagnetic wave, and the discreteness of the electron charge leads to shot noise as the fundamental photodetection noise. We then use semiclassical photodetection theory to show that the \\em same\\rm\\ simulated quantum interference pattern can be observed in high-flux operation, when photocurr...
Progress of Belle II – detector and performance
International Nuclear Information System (INIS)
The progress on the detector and accelerator in the Belle II experiment is presented. The B factories have successfully accumulated the experimental data at ϒ(4S) and achieved the world highest sensitivity on the search for lepton flavor violating tau decays and other new physics searches. The Belle II experiment will obtain 50 times larger data samples compared to the Belle experiment and improve the detector sensitivity. The construction of the detector and accelerator is in progress. The commissioning will start in 2014 and the expected integrated luminosity is 50ab−1 by 2022
Improvement of AMGA Python Client Library for Belle II Experiment
Kwak, Jae-Hyuck; Park, Geunchul; Huh, Taesang; Hwang, Soonwook
2015-12-01
This paper describes the recent improvement of the AMGA (ARDA Metadata Grid Application) python client library for the Belle II Experiment. We were drawn to the action items related to library improvement after in-depth discussions with the developer of the Belle II distributed computing system. The improvement includes client-side metadata federation support in python, DIRAC SSL library support as well as API refinement for synchronous operation. Some of the improvements have already been applied to the AMGA python client library as bundled with the Belle II distributed computing software. The recent mass Monte- Carlo (MC) production campaign shows that the AMGA python client library is reliably stable.
Reluctant genius Alexander Graham Bell and the passion for invention
Gray, Charlotte
2011-01-01
The popular image of Alexander Graham Bell is that of an elderly American patriarch, memorable only for his paunch, his Santa Claus beard, and the invention of the telephone. In this magisterial reassessment based on thorough new research, acclaimed biographer Charlotte Gray reveals Bell's wide-ranging passion for invention and delves into the private life that supported his genius. The child of a speech therapist and a deaf mother, and possessed of superbly acute hearing, Bell developed an early interest in sound. His understanding of how sound waves might relate to electrical waves enabled h
Fujikawa, Kazuo
2013-01-01
Hidden-variables models are critically reassessed. It is first examined if the quantum discord is classically described by the hidden-variable model of Bell in the Hilbert space with $d=2$. The criterion of vanishing quantum discord is related to the notion of reduction and, surprisingly, the hidden-variable model in $d=2$, which has been believed to be consistent so far, is in fact inconsistent and excluded by the analysis of conditional measurement and reduction. The description of the full contents of quantum discord by the deterministic hidden-variables models is not possible. We also re-examine CHSH inequality. It is shown that the well-known prediction of CHSH inequality $|B|\\leq 2$ for the CHSH operator $B$ introduced by Cirel'son is not unique. This non-uniqueness arises from the failure of linearity condition in the non-contextual hidden-variables model in $d=4$ used by Bell and CHSH, in agreement with Gleason's theorem which excludes $d=4$ non-contextual hidden-variables models. If one imposes the l...
Inequality, Poverty, Insecurity
Directory of Open Access Journals (Sweden)
Ilona
2015-04-01
Full Text Available The article discusses the economic connections of globalization, the roots of this phenomenon and its implications for presence. In the 70´, the economic bases of developed countries started changing. Since then the economic power of transnational corporations has risen. The TNCs change the international division of labor and divide the production cycle in an unprecedented manner. The economic sovereignty of countries weakens. All these factors influence the position of labor and consequently phenomena like unemployment, poverty and uncertainty. Since the 70´s the wage share, one of the most important macroeconomic indicators, has started sinking in developed contries. This means that a higher proportion of output goes to capital, i.e. to profits. Unemployment in developed countries has also changed its form since the 70´s – it has become structural and long-term one. Forms of precarious labor increase significantly and in the developed countries (especially obviously in the US the phenomenon of working poverty appears. Hand in hand with these phenomena goes the increase in inequality, of all developed countries again mostly in the US. The implications are not only social, such as the preservation of elite, i.e. the tendency towards oligarchization and decrease in social mobility. These implications are also connected with the debt phenomenon, which serves as a factor of discipline and system preservation, or respectively the postponement of weakened purchasing power of the lower and middle income classes. The rise in insecurity and the impossibility to identify oneself with the job has its political implications as well. In the context of reflecting the problem itself it takes form of various social protests (such as Occupy Wall Street, but also can be shown in the rise of various xenophobe and extreme right movements that destabilize the whole political system, including doubting the regime of democracy as such.
Quantum nonlocality and reality 50 years of Bell's theorem
Gao, Shan
2016-01-01
Description Contents Resources Courses About the Authors Combining twenty-six original essays written by an impressive line-up of distinguished physicists and philosophers of physics, this anthology reflects some of the latest thoughts by leading experts on the influence of Bell's theorem on quantum physics. Essays progress from John Bell's character and background, through studies of his main work, and on to more speculative ideas, addressing the controversies surrounding the theorem, and investigating the theorem's meaning and its deep implications for the nature of physical reality. Combined, they present a powerful comment on the undeniable significance of Bell's theorem for the development of ideas in quantum physics over the past 50 years. Questions surrounding the assumptions and significance of Bell's work still inspire discussion in the field of quantum physics. Adding to this with a theoretical and philosophical perspective, this balanced anthology is an indispensable volume for students and researc...
NOAA Ship Bell M. Shimada Underway Meteorological Data, Quality Controlled
National Oceanic and Atmospheric Administration, Department of Commerce — NOAA Ship Bell M. Shimada Underway Meteorological Data (delayed ~10 days for quality control) are from the Shipboard Automated Meteorological and Oceanographic...
Classical probabilistic realization of "Random Numbers Certified by Bell's Theorem"
Khrennikov, Andrei
2015-01-01
We question the commonly accepted statement that random numbers certified by Bell's theorem carry some special sort of randomness, so to say, quantum randomness or intrinsic randomness. We show that such numbers can be easily generated by classical random generators.
Iris Murdoch’s The Bell: Tragedy, Love, and Religion
Directory of Open Access Journals (Sweden)
Kenneth Masong
2008-06-01
Full Text Available The novel begins as follows:"Dora Greenfield left her husband because she was afraid of him. She decided six months later to return to him for the same reason. The absent Paul, haunting her with letters and telephone bells and imagined footsteps on the stairs had begun to be the greater torment. Dora suffered from guilt, and with guilt came fear. She decided at last that the persecution of his presence was to be preferred to the persecution of his absence."Murdoch's novel The Bell is about Imber Court. It is a small Anglican religious community of lay people whose lives were transformed, not just by the arrival of a couple of dissimilar visitors, not just by the arrival of a new bell to be installed at Imber Abbey located beyond the lake, but more significantly by the discovery of a centuries-old bell the story of which is engulfed in a terrible legend.
On Superselection Rules in Bohm-Bell Theories
Colin, S; Tumulka, R; Colin, Samuel; Durt, Thomas; Tumulka, Roderich
2005-01-01
The meaning of superselection rules in Bohm-Bell theories (i.e., quantum theories with particle trajectories) is different from that in orthodox quantum theory. More precisely, there are two concepts of superselection rule, a weak and a strong one. Weak superselection rules exist both in orthodox quantum theory and in Bohm-Bell theories and represent the conventional understanding of superselection rules. We introduce the concept of strong superselection rule, which does not exist in orthodox quantum theory. It relies on the clear ontology of Bohm-Bell theories and is a sharper and, in the Bohm-Bell context, more fundamental notion. A strong superselection rule for the observable G asserts that one can replace every state vector by a suitable statistical mixture of eigenvectors of G without changing the particle trajectories or their probabilities. A weak superselection rule asserts that every state vector is empirically indistinguishable from a suitable statistical mixture of eigenvectors of G. We establish ...
Subtraction of "accidentals" and the validity of Bell tests
Thompson, C H
1999-01-01
In some key Bell experiments, including two of the well-known ones by Alain Aspect, 1981-2, it is only after the subtraction of ``accidentals'' from the coincidence counts that we get violations of Bell tests. The data adjustment, producing increases of up to 60% in the test statistics, has never been adequately justified. Few published experiments give sufficient information for the reader to make a fair assessment. There is a straightforward and well known realist model that fits the unadjusted data very well. In this paper, the logic of this realist model and the reasoning used by experimenters in justification of the data adjustment are discussed. It is concluded that the evidence from all Bell experiments is in urgent need of re-assessment, in the light of all the known ``loopholes''. Invalid Bell tests have frequently been used, neglecting an improved one derived by Clauser and Horne in 1974. ``Local causal'' explanations for the observations have been wrongfully neglected.
Characterization of the Bell-Shaped Vibratory Angular Rate Gyro
Directory of Open Access Journals (Sweden)
Junfang Fan
2013-08-01
Full Text Available The bell-shaped vibratory angular rate gyro (abbreviated as BVG is a novel shell vibratory gyroscope, which is inspired by the Chinese traditional bell. It sensitizes angular velocity through the standing wave precession effect. The bell-shaped resonator is a core component of the BVG and looks like the millimeter-grade Chinese traditional bell, such as QianLong Bell and Yongle Bell. It is made of Ni43CrTi, which is a constant modulus alloy. The exciting element, control element and detection element are uniformly distributed and attached to the resonator, respectively. This work presents the design, analysis and experimentation on the BVG. It is most important to analyze the vibratory character of the bell-shaped resonator. The strain equation, internal force and the resonator's equilibrium differential equation are derived in the orthogonal curvilinear coordinate system. When the input angular velocity is existent on the sensitive axis, an analysis of the vibratory character is performed using the theory of thin shells. On this basis, the mode shape function and the simplified second order normal vibration mode dynamical equation are obtained. The coriolis coupling relationship about the primary mode and secondary mode is established. The methods of the signal processing and control loop are presented. Analyzing the impact resistance property of the bell-shaped resonator, which is compared with other shell resonators using the Finite Element Method, demonstrates that BVG has the advantage of a better impact resistance property. A reasonable means of installation and a prototypal gyro are designed. The gyroscopic effect of the BVG is characterized through experiments. Experimental results show that the BVG has not only the advantages of low cost, low power, long work life, high sensitivity, and so on, but, also, of a simple structure and a better impact resistance property for low and medium angular velocity measurements.
Statistical practice at the Belle experiment, and some questions
International Nuclear Information System (INIS)
The Belle collaboration operates a general-purpose detector at the KEKB asymmetric energy e+e- collider, performing a wide range of measurements in beauty, charm, tau and 2-photon physics. In this paper, the treatment of statistical problems in past and present Belle measurements is reviewed. Some open questions, such as the preferred method for quoting rare decay results, and the statistical treatment of the new B0/B-bar0→π+π- analysis, are discussed. (author)
Hugh Blairs Lectures on Rhetoric and Belles Lettres
DEFF Research Database (Denmark)
Schatz-Jakobsen, Claus
1989-01-01
Artiklen nærlæser dekonstruktivt dele af den skotske retorikprofessor Hugh Blairs Lecures on Rhetoric and Belles Lettres (1783) og påviser splittelsen mellem to vidt forskellige retorik- og liltteraturhistoriske interesser, neoklassicistiske vs. romantiske.......Artiklen nærlæser dekonstruktivt dele af den skotske retorikprofessor Hugh Blairs Lecures on Rhetoric and Belles Lettres (1783) og påviser splittelsen mellem to vidt forskellige retorik- og liltteraturhistoriske interesser, neoklassicistiske vs. romantiske....
Extending Bell's Theorem: Ruling out Paramater Independent Hidden Variable Theories
Leegwater, G. J.
2016-03-01
Bell's Theorem may well be the best known result in the foundations of quantum mechanics. Here, it is presented as stating that for any hidden variable theory the combination of the conditions Parameter Independence, Outcome Independence, Source Independence and Compatibility with Quantum Theory leads to a contradiction. Based on work by Roger Colbeck and Renato Renner, an extension of Bell's Theorem is considered. In this extension the theorem is strengthened by replacing Outcome Independence by a strictly weaker condition.
STRUCTURAL RACISM AND HEALTH INEQUITIES
Gee, Gilbert C.; Ford, Chandra L.
2014-01-01
Racial minorities bear a disproportionate burden of morbidity and mortality. These inequities might be explained by racism, given the fact that racism has restricted the lives of racial minorities and immigrants throughout history. Recent studies have documented that individuals who report experiencing racism have greater rates of illnesses. While this body of research has been invaluable in advancing knowledge on health inequities, it still locates the experiences of racism at the individual level. Yet, the health of social groups is likely most strongly affected by structural, rather than individual, phenomena. The structural forms of racism and their relationship to health inequities remain under-studied. This article reviews several ways of conceptualizing structural racism, with a focus on social segregation, immigration policy, and intergenerational effects. Studies of disparities should more seriously consider the multiple dimensions of structural racism as fundamental causes of health disparities. PMID:25632292
The analysis and geometry of Hardy's inequality
Balinsky, Alexander A; Lewis, Roger T
2015-01-01
This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.
SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES
Institute of Scientific and Technical Information of China (English)
Fang Yaping; Huang Nanjing
2005-01-01
In this paper, the authors introduce and study system of generalized vector variational inequalities. Under suitable conditions, the existence of solutions for system of generalized vector variational inequalities is presented by Kakutani-Fan-Glicksberg fixed point theorem.
Martingale Rosenthal inequalities in symmetric spaces
Energy Technology Data Exchange (ETDEWEB)
Astashkin, S V [Samara State University, Samara (Russian Federation)
2014-12-31
We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale. Bibliography: 26 titles.
Competitive Pressure on China : Income Inequality
Ten Raa, T.; Pan, H.
2001-01-01
In the preceding paper we have seen that the top types of labor are relatively scarce in China and this raises the issue of income inequality under competition.Our main finding is that inequality would multiply indeed. Subsidiary, the nature of inequality would shift from the rural-urban divide to differences between social classes.The existing negative relationship between development and inequality would be dissolved by competition.
Maximal inequalities for demimartingales and their applications
Institute of Scientific and Technical Information of China (English)
WANG XueJun; HU ShuHe
2009-01-01
In this paper,we establish some maximal inequalities for demimartingales which generalize and improve the results of Christofides.The maximal inequalities for demimartingales are used as key inequalities to establish other results including Doob's type maximal inequality for demimartingales,strong laws of large numbers and growth rate for demimartingales and associated random variables.At last,we give an equivalent condition of uniform integrability for demisubmartingales.
Coercive Inequalities on Metric Measure Spaces
Hebisch, W.; Zegarlinski, B.
2009-01-01
We study coercive inequalities on finite dimensional metric spaces with probability measures which do not have volume doubling property. This class of inequalities includes Poincar\\'e and Log-Sobolev inequality. Our main result is proof of Log-Sobolev inequality on Heisenberg group equipped with either heat kernel measure or "gaussian" density build from optimal control distance. As intermediate results we prove so called U-bounds.
Sources of income inequality in Ireland
Madden, David
1996-01-01
This paper analyses inequality in Ireland via a decomposition of the Gini coefficient by source of income. Using data from the Irish Household Budget Survey of 1987, seventeen components of disposable income are identified and their contribution to inequality evaluated. Their contribution to inequality at the margin is also calculated. The paper also examines how policy changes addressing inequality can be assessed in terms of their effect upon both equality and output via an abbreviated soci...
Maximal inequalities for demimartingales and their applications
Institute of Scientific and Technical Information of China (English)
无
2009-01-01
In this paper, we establish some maximal inequalities for demimartingales which generalize and improve the results of Christofides. The maximal inequalities for demimartingales are used as key inequalities to establish other results including Doob’s type maximal inequality for demimartingales, strong laws of large numbers and growth rate for demimartingales and associated random variables. At last, we give an equivalent condition of uniform integrability for demisubmartingales.
Homotopy Method for Variational Inequalities
Institute of Scientific and Technical Information of China (English)
无
2001-01-01
@@Solving a finite-dimensional variational inequality is to find a vector x* ∈ X Rn such that where X is a nonempty, closed and convex subset of Rn and F is a mapping from Rn to itself,denoted by VI(X, F). The variational inequality problem (VIP) has had many successful practical applications in the last three decades. It has been used to formulate and investigate equilibrium models arising in economics, transportation, regional science and operations research. So far, a large number of existence conditions have been developed in the literature. Harker and Pang[1] gave excellent surveys of theories, methods and applications of VIPs.
QCD inequalities for hadron interactions.
Detmold, William
2015-06-01
We derive generalizations of the Weingarten-Witten QCD mass inequalities for particular multihadron systems. For systems of any number of identical pseudoscalar mesons of maximal isospin, these inequalities prove that near threshold interactions between the constituent mesons must be repulsive and that no bound states can form in these channels. Similar constraints in less symmetric systems are also extracted. These results are compatible with experimental results (where known) and recent lattice QCD calculations, and also lead to a more stringent bound on the nucleon mass than previously derived, m_{N}≥3/2m_{π}. PMID:26196617
Agrarian Structures, Urbanization and Inequality
Cem Oyvat
2013-01-01
This study examines the impact of agrarian structures on income inequality over the long run. High land inequality increases income Gini coeﬃcients in the urban sector as well as the rural sector, not only by creating congestion in the urban subsistence sector, but also by feeding the growth of the urban reserve army of labor, which pulls down the wages in the urban capitalist sector. An econometric analysis shows that the impact of initial land ownership distribution on both national and urb...
Effects of Bell Speed and Flow Rate on Evaporation of Water Spray from a Rotary Bell Atomizer
Directory of Open Access Journals (Sweden)
Rajan Ray
2015-05-01
Full Text Available A phase doppler anemometer (PDA was used to determine the effects of evaporation on water spray for three rotary bell atomizer operational variable parameters: shaping air, bell speed and liquid flow. Shaping air was set at either 200 standard liters per minute (L/min or 300 L/min, bell speed was set to 30, 40 or 50 thousand rotations per minute (krpm and water flow rate was varied between 100, 200 or 300 cubic centimeters per minute (cm3/min. The total evaporation between 22.5 and 37.5 cm from the atomizer (cm3/s was calculated for all the combinations of those variables. Evaporation rate increased with higher flow rate and bell speed but no statistically significant effects were obtained for variable shaping air on interactions between parameters.
Institute of Scientific and Technical Information of China (English)
SHI Run-Hua; HUANG Liu-Sheng; YANG Wei; ZHONG Hong
2011-01-01
@@ We present a novel quantum secret sharing scheme of secure direct communication and analyze its security.This scheme takes Einstein-Podolsky-Rosen(EPR) pairs in Bell states as quantum resources.In order to obtain thedirect communication message,all agents only need to perform Bell measurements,not to perform any local unitary operation.The total efficiency in this scheme approaches 100% as the classical information exchanged is unnecessary except for the eavesdropping checks.%We present a novel quantum secret sharing scheme of secure direct communication and analyze its security. This scheme takes Einstein-Podolsky-Rosen (EPR) pairs in Bell states as quantum resources. In order to obtain the direct communication message, all agents only need to perform Bell measurements, not to perform any local unitary operation. The total efficiency in this scheme approaches 100％ as the classical information exchanged is unnecessary except for the eavesdropping checks.
Does Income Inequality Reduce Growth? Does Income Inequality Reduce Growth?
Directory of Open Access Journals (Sweden)
Pablo Serra
1993-03-01
Full Text Available This paper examines the effects of inequality on the rate of growth of an economy. We assume that it is easier for an individual to achieve a given level of human capiral the higher society's average level of human capiral. Agents with above average human capital find it relatively more costly to acquire additional human capital, while agents with below average human capital find it relatively cheaper to acquire additional human capital. The existence of such an externality implies that even when where is no income inequality agents will behave inefficiently. In order to achieve the optimal growth rate, a lump sum tax must be combined with a subsidy to investment in education. When incomes are heterogenous, we show that income convergence is attained in the long run. We also show that the effect of inequality on the growth rate of an economy depends on the functional form of the externality. When the externality junction is concave, income dispersion reduces the rate of growth. On the other hand, when the externality function is convex, the effect is ambiguous. Does Income Inequality Reduce Growth?
Competitive Pressure on China : Income Inequality
Ten Raa, T.; Pan, H.
2001-01-01
In the preceding paper we have seen that the top types of labor are relatively scarce in China and this raises the issue of income inequality under competition.Our main finding is that inequality would multiply indeed. Subsidiary, the nature of inequality would shift from the rural-urban divide to d
Inequality and Economic Development in Brazil
World Bank
2004-01-01
This study addresses three questions : why do inequalities matter for Brazil's development? Why does Brazil occupy a position of very high inequality in the international community? And, What should public policy do about it? Excessive income inequality is unfair, and undesirable on ethical grounds, and can bring adverse effects on economic growth, health outcomes, social cohesion, and cri...
Some Inequalities for Simplices and Their Applications
Institute of Scientific and Technical Information of China (English)
杨世国
2005-01-01
Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.
M.P. García-Gómez (Pilar); E. Schokkaert (Schokkaert); T.G.M. van Ourti (Tom); T.M. Bago d'Uva (Teresa)
2014-01-01
textabstractWe apply the theory of inequality of opportunity to the measurement of inequity in mortality. Using a rich data set linking records of mortality and health events to survey data on lifestyles for the Netherlands (1998-2007), we test the sensitivity of estimated inequity to different norm
Inequalities for polars of mixed projection bodies
Institute of Scientific and Technical Information of China (English)
LENG Gangsong; ZHAO Changjian; HE Binwu; LI Xiaoyan
2004-01-01
In 1993 Lutwak established some analogs of the Brunn-Minkowsi inequality and the Aleksandrov-Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we give their polars forms. Further, as applications of our methods, we give a generalization of Pythagorean inequality for mixed volumes.
Remainder terms for some quantum entropy inequalities
Energy Technology Data Exchange (ETDEWEB)
Carlen, Eric A.; Lieb, Elliott H. [Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States); Departments of Mathematics and Physics, Jadwin Hall, Princeton University, Washington Road, Princeton, New Jersey 08544-0001 (United States)
2014-04-15
We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.
Urban Inequality. NBER Working Paper No. 14419
Glaeser, Edward L.; Resseger, Matthew G.; Tobio, Kristina
2008-01-01
What impact does inequality have on metropolitan areas? Crime rates are higher in places with more inequality, and people in unequal cities are more likely to say that they are unhappy. There is also a negative association between local inequality and the growth of both income and population, once we control for the initial distribution of skills.…
Concentration inequalities for random fields via coupling
Chazottes, J. R.; Collet, P.; Kuelske, C.; Redig, F.
2007-01-01
We present a new and simple approach to concentration inequalities in the context of dependent random processes and random fields. Our method is based on coupling and does not use information inequalities. In case one has a uniform control on the coupling, one obtains exponential concentration inequ
Research on Inequalities Exists in the Workplace
Institute of Scientific and Technical Information of China (English)
布乃鹏; 樊晶晶; 刘淑华
2013-01-01
The is ue of inequalities exists in the workplace has been widely debated in our community recently. And then this essay wil argue inequalities exist in the workplace, in terms of ethnic, gender, and disability. This es ay would of er four perspectives about the view inequalities exist in the workplace and discuss the response from the state, employers and unions.
The Oxford handbook of economic inequality. - Paperback
W. Salverda; B. Nolan; T.M. Smeeding
2011-01-01
The Oxford Handbook of Economic Inequality presents a challenging analysis of economic inequality, focusing primarily on economic inequality in highly-developed countries. This comprehensive and authoritative volume contains twenty-seven original contributions on topics ranging from gender to happin
Educational Inequalities and Opportunity in Economic Perspective.
Bowman, Mary Jean
1991-01-01
Discusses educational equality and inequality from an economist's perspective. Considers human capital theory and interpretation of life cycles in learning and earning. Addresses schooling and experience components of changes in the inequality of earned incomes, educational expansion, and inequalities in schooling. Explores the roles of skill…
Easier access to education reduces inequality between genders but increases inequality within gender
Koutmeridis, Theodore
2014-01-01
From Plato and Marx to Piketty’s recent ‘Capital in the 21st Century’, scholars have always been worried about growing inequality. Even though most studies focus on the vicious consequences of rising economic inequality, the recent experience is more perplexing, as inequality has not increased in all dimensions. In particular, over the past four decades increasing U.S. wage inequality within gender has coincided with narrowing inequality between genders, while at the same time access to highe...
Observability inequalities for thin shells
Institute of Scientific and Technical Information of China (English)
柴树根; 姚鹏飞
2003-01-01
We consider the exact controllability problem from boundary for thin shells. Under some check-able geometric assumptions on the middle surface, we establish the observability inequalities via the Bochnertechnique for the Dirichlet control and the Neumann control problems. We also give several examples to verifythe geometric assumptions.
Inequality, Environmental Protection and Growth
Marsiliani, L.; Renstrom, T.I.
2000-01-01
Why do Scandinavian countries perform better in terms of environmental protection than other European Union countries? In this paper, we explore the hypothesis that societies characterised by low income inequality (such as the nordic European countries) generate political-economic equilibria where e
Inequalities for Generalized Logarithmic Means
Yu-Ming Chu; Wei-Feng Xia
2009-01-01
For , the generalized logarithmic mean of two positive numbers and is defined as , for , , for , , , , for , , and , for , . In this paper, we prove that , and for all , and the constants , and cannot be improved for the corresponding inequalities. Here , and denote the arithmetic, geometric, and harmonic means of and , respectively.
Collective Consumption ＆ Social Inequality
Institute of Scientific and Technical Information of China (English)
CaiHe; HeYanling,; ZhaoBaohua; DavidKelly
2004-01-01
Research on collective consumption is a basic starting point for urban sociologists exploring differentiation and inequality in today's urban society. The emergence of collective consumption resulted from conflict between the socialization of workforce production and privatization of surplus value produced by labor in a capitalist society.
Voice, Schooling, Inequality, and Scale
Collins, James
2013-01-01
The rich studies in this collection show that the investigation of voice requires analysis of "recognition" across layered spatial-temporal and sociolinguistic scales. I argue that the concepts of voice, recognition, and scale provide insight into contemporary educational inequality and that their study benefits, in turn, from paying attention to…
Two polynomial division inequalities in
Directory of Open Access Journals (Sweden)
Goetgheluck P
1998-01-01
Full Text Available This paper is a first attempt to give numerical values for constants and , in classical estimates and where is an algebraic polynomial of degree at most and denotes the -metric on . The basic tools are Markov and Bernstein inequalities.
Retirement Patterns and Income Inequality
Fasang, Anette Eva
2012-01-01
How do social policies shape life courses, and which consequences do different life course patterns hold for individuals? This article engages the example of retirement in Germany and Britain to analyze life course patterns and their consequences for income inequality. Sequence analysis is used to measure retirement trajectories. The liberal…
Does Microfinance Reduce Income Inequality?
Hermes, Niels
2014-01-01
This study addresses the question whether participation of the poor in microfinance contributes to reducing a country’s level of income inequality. Using data from 70 developing countries, we show that higher levels of microfinance participation are indeed associated with a reduction of the income g
Discrete fractional Calculus and Inequalities
Anastassiou, George A.
2009-01-01
Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we produce discrete fractional Taylor formulae for the first time, and we estimate their remainders. Finally, we derive related discrete fractional Ostrowski, Poincare and Sobolev type inequalities.
Multi-dimensional Hadamard's inequalities
Directory of Open Access Journals (Sweden)
Yin Chen
2012-03-01
Full Text Available In this paper, Hadamard's inequalities are extended to a convex function on a convex set in $R^2$ or $R^3$. In particular, it is proved that the average of convex function on a ball of radius $r$ is between the average of the function on the circle of radius r and that on the circle of $\\frac{2r}{3}$
Morse Inequalities for Orbifold Cohomology
DEFF Research Database (Denmark)
A. Hepworth, Richard
2009-01-01
This paper begins the study of Morse theory for orbifolds, or more precisely for differentiable Deligne-Mumford stacks. The main result is an analogue of the Morse inequalities that relates the orbifold Betti numbers of an almost-complex orbifold to the critical points of a Morse function on the ...
Another China – other inequalities
DEFF Research Database (Denmark)
Bagger-Petersen, Mai Corlin
2013-01-01
Gender inequality is not simply the unfair treatment of men and women. It is a complex issue tied to a whole range of disparities in society at large, argues Professor Min Dongchao, who has just been awarded a Marie Curie International Incoming Fellowship and will be a guest professor at the Nordic...
Linear game non-contextuality and Bell inequalities—a graph-theoretic approach
Rosicka, M.; Ramanathan, R.; Gnaciński, P.; Horodecki, K.; Horodecki, M.; Horodecki, P.; Severini, S.
2016-04-01
We study the classical and quantum values of a class of one- and two-party unique games, that generalizes the well-known XOR games to the case of non-binary outcomes. In the bipartite case the generalized XOR (XOR-d) games we study are a subclass of the well-known linear games. We introduce a ‘constraint graph’ associated to such a game, with the constraints defining the game represented by an edge-coloring of the graph. We use the graph-theoretic characterization to relate the task of finding equivalent games to the notion of signed graphs and switching equivalence from graph theory. We relate the problem of computing the classical value of single-party anti-correlation XOR games to finding the edge bipartization number of a graph, which is known to be MaxSNP hard, and connect the computation of the classical value of XOR-d games to the identification of specific cycles in the graph. We construct an orthogonality graph of the game from the constraint graph and study its Lovász theta number as a general upper bound on the quantum value even in the case of single-party contextual XOR-d games. XOR-d games possess appealing properties for use in device-independent applications such as randomness of the local correlated outcomes in the optimal quantum strategy. We study the possibility of obtaining quantum algebraic violation of these games, and show that no finite XOR-d game possesses the property of pseudo-telepathy leaving the frequently used chained Bell inequalities as the natural candidates for such applications. We also show this lack of pseudo-telepathy for multi-party XOR-type inequalities involving two-body correlation functions.
Global interpersonal inequality: Trends and measurement
DEFF Research Database (Denmark)
Niño-Zarazúa, Miguel; Roope, Laurence; Tarp, Finn
inequality is decomposed into within-country and between-country inequality. The paper illustrates that the relationship between global interpersonal inequality and these constituent components is a complex one. In particular, we demonstrate that the changes in China’s and India’s income distributions over......This paper discusses different approaches to the measurement of global interpersonal in equality. Trends in global interpersonal inequality during 1975-2005 are measured using data from UNU-WIDER’s World Income Inequality Database. In order to better understand the trends, global interpersonal...
Inequalities theory of majorization and its applications
Olkin, Ingram
1980-01-01
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying ""theory of inequalities."" For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applicati
On the Penrose inequality along null hypersurfaces
Mars, Marc
2015-01-01
The null Penrose inequality, i.e. the Penrose inequality in terms of the Bondi energy, is studied by introducing a funtional on surfaces and studying its properties along a null hypersurface $\\Omega$ extending to past null infinity. We prove a general Penrose-type inequality which involves the limit at infinity of the Hawking energy along a specific class of geodesic foliations called Geodesic Asymptotic Bondi (GAB), which are shown to always exist. Whenever, this foliation approaches large spheres, this inequality becomes the null Penrose inequality and we recover the results of Ludvigsen-Vickers and Bergqvist. By exploiting further properties of the functional along general geodesic foliations, we introduce an approach to the null Penrose inequality called Renormalized Area Method and find a set of two conditions which implies the validity of the null Penrose inequality. One of the conditions involves a limit at infinity and the other a condition on the spacetime curvature along the flow. We investigate the...
The Belle II DEPFET pixel detector
Moser, Hans-Günther
2016-09-01
The Belle II experiment at KEK (Tsukuba, Japan) will explore heavy flavour physics (B, charm and tau) at the starting of 2018 with unprecedented precision. Charged particles are tracked by a two-layer DEPFET pixel device (PXD), a four-layer silicon strip detector (SVD) and the central drift chamber (CDC). The PXD will consist of two layers at radii of 14 mm and 22 mm with 8 and 12 ladders, respectively. The pixel sizes will vary, between 50 μm×(55-60) μm in the first layer and between 50 μm×(70-85) μm in the second layer, to optimize the charge sharing efficiency. These innermost layers have to cope with high background occupancy, high radiation and must have minimal material to reduce multiple scattering. These challenges are met using the DEPFET technology. Each pixel is a FET integrated on a fully depleted silicon bulk. The signal charge collected in the 'internal gate' modulates the FET current resulting in a first stage amplification and therefore very low noise. This allows very thin sensors (75 μm) reducing the overall material budget of the detector (0.21% X0). Four fold multiplexing of the column parallel readout allows read out a full frame of the pixel matrix in only 20 μs while keeping the power consumption low enough for air cooling. Only the active electronics outside the detector acceptance has to be cooled actively with a two phase CO2 system. Furthermore the DEPFET technology offers the unique feature of an electronic shutter which allows the detector to operate efficiently in the continuous injection mode of superKEKB.
How Bell Labs creates star performers.
Kelley, R; Caplan, J
1993-01-01
How can managers increase the productivity of professionals when most of their work goes on inside their heads? Robert Kelley and Janet Caplan believe that defining the difference between star performers and average workers is the answer. Many managers assume that top performers are just smarter. But the authors' research at the Bell Laboratories Switching Systems Business Unit (SSBU) has revealed that the real difference between stars and average workers is not IQ but the ways top performers do their jobs. Their study has led to a training program based on the strategies of star performers. The SSBU training program, known as the Productivity Enhancement Group (PEG), uses an expert model to demystify productivity. The star engineers selected to develop the expert model identified and ranked nine work strategies, such as taking initiative, networking, and self-management. Middle performers were also asked what makes for top-quality work, but their definitions and ranking of the strategies differed significantly from those of the top performers. Taking initiative, for example, meant something very different to an average worker than it did to a star. And for the middle performers, the ability to give good presentations was a core strategy, while it was peripheral for the top engineers. Once PEG got underway, respected engineers ran the training sessions, which included case studies, work-related exercises, and frank discussion. The benefits of the program were striking: participants and managers reported substantial productivity increases in both star and average performers. The PEG program may not be a blueprint for other companies, but its message is clear: managers must focus on people, not on technology, to increase productivity in the knowledge economy.
Authentication of bell peppers using boron and strontium isotope compositions
Rosner, Martin; Pritzkow, Wolfgang; Vogl, Jochen; Voerkelius, Susanne
2010-05-01
The wrong declaration of food in terms of geographical origin and production method is a major problem for the individual consumer and public regulatory authorities. The authentication of food matrices using H-C-N-O-S isotopic compositions is already well established. However, specific questions require additional isotopic systems, which are more diagonstic for the source reservoires involved or production methods used. Here we present B and Sr isotopic compositions of bell peppers from Europe (Germany, Austria, Netherlands, Spain) and Israel to verfiy their origin. The bell peppers' B isotopic compositions between different locations are highly variable (d11BNISTSRM951 -8 to +35 ‰), whereas the 87Sr/86Sr ratios are all close to modern seawater Sr isotopic composition of about 0.7092 (0.7078 to 0.7107), but still can reliably be distinguished. Distinct isotopically heavy and light B isotopic fingerprints are obtained for bell peppers from Israel and the Netherlands. Samples from Germany, Austria, and Spain display overlapping d11B values between 0 and +12 ‰. Bell peppers from Israel show high d11B values (+28 to +35 ‰) combined with 87Sr/86Sr ratios slightly more unradiogenic than modern seawater (ca 0.7079). Bell peppers from the Netherlands, however, show low d11B values (-8 ‰) combinded with 87Sr/86Sr ratios of modern seawater (approx. 0.7085). Mainly based on diagnostic B isotopic compositions bell peppers from Israel and the Netherlands can be related to a specific geographical growing environment (Israel) or production method (Netherlands). The isotope fingerprints of bell peppers from the Netherlands are consistent with growing conditions in greenhouses typical for the Netherlands vegetable farming. Using optimized production methods crops in greenhouses were supplied with nutritients by liquid fertilizers on artificial substrates. As most fertilizers derive from non-marine salt deposits, fertilization typically imprints invariant d11B values close
Generating Bell states in invariant stratification spin networks
International Nuclear Information System (INIS)
In this paper, we study the generation of Bell states between distant vertices in a permanently coupled quantum spin network, interacting via invariant stratification graphs. To begin with we establish a class of upper bounds over the achievable entanglement between the reference site and various vertices. We observe that the maximum of these upper bounds is one e-bit. We conclude that the reference site can generate a Bell state with a vertex if the corresponding upper bound of the vertex is one e-bit. Thus for generation of a Bell state this upper bound must be saturated. Taking this into account, we obtain the characteristic constraint of the proper graphs. We introduce a special class of antipodal invariant stratification graphs, which is called reflective, whereas the antipode vertex obeys the characteristic constraint. We also show that the antipodal association scheme graphs are reflective so Bell states can be generated between the antipodal vertices. Moreover, we observe that in such graphs the proper Hamiltonian that enables the creation of a Bell state is the Heisenberg interaction between vertex pairs
Chemical reactions modulated by mechanical stress: extended Bell theory.
Konda, Sai Sriharsha M; Brantley, Johnathan N; Bielawski, Christopher W; Makarov, Dmitrii E
2011-10-28
A number of recent studies have shown that mechanical stress can significantly lower or raise the activation barrier of a chemical reaction. Within a common approximation due to Bell [Science 200, 618 (1978)], this barrier is linearly dependent on the applied force. A simple extension of Bell's theory that includes higher order corrections in the force predicts that the force-induced change in the activation energy will be given by -FΔR - ΔχF(2)∕2. Here, ΔR is the change of the distance between the atoms, at which the force F is applied, from the reactant to the transition state, and Δχ is the corresponding change in the mechanical compliance of the molecule. Application of this formula to the electrocyclic ring-opening of cis and trans 1,2-dimethylbenzocyclobutene shows that this extension of Bell's theory essentially recovers the force dependence of the barrier, while the original Bell formula exhibits significant errors. Because the extended Bell theory avoids explicit inclusion of the mechanical stress or strain in electronic structure calculations, it allows a computationally efficient characterization of the effect of mechanical forces on chemical processes. That is, the mechanical susceptibility of any reaction pathway is described in terms of two parameters, ΔR and Δχ, both readily computable at zero force.
Correlates of degree of nerve involvement in early Bell's palsy
Directory of Open Access Journals (Sweden)
Hsieh Ru-Lan
2009-06-01
Full Text Available Abstract Background This study aimed to evaluate the still unknown factors correlating with the degree of nerve involvement in early Bell's palsy. Methods This retrospective chart review study of newly diagnosed cases of Bell's palsy was conducted over a three-year period. Information on age, sex, day of onset, comorbidities, corticosteroid use, and electroneurographic test results were collected. The electroneurographic quotient (amplitude of compound muscle action potential on the affected side divided by that on the healthy side and expressed in percent was used as an index of nerve involvement, with lower quotient indicating more severe disease. Results Data were collected on 563 patients. The mean electroneurographic quotient varied inversely with age (p vs. 40.3%; p = 0.002. There was no correlation between the degree of nerve involvement and sex, season of onset, hypertension, or diabetes. Conclusion The degree of nerve involvement in early Bell's palsy correlates positively with age and negatively with corticosteroid use.
Belle II SVD ladder assembly procedure and electrical qualification
Adamczyk, K.; Aihara, H.; Angelini, C.; Aziz, T.; Babu, Varghese; Bacher, S.; Bahinipati, S.; Barberio, E.; Baroncelli, T.; Basith, A. K.; Batignani, G.; Bauer, A.; Behera, P. K.; Bergauer, T.; Bettarini, S.; Bhuyan, B.; Bilka, T.; Bosi, F.; Bosisio, L.; Bozek, A.; Buchsteiner, F.; Casarosa, G.; Ceccanti, M.; Červenkov, D.; Chendvankar, S. R.; Dash, N.; Divekar, S. T.; Doležal, Z.; Dutta, D.; Forti, F.; Friedl, M.; Hara, K.; Higuchi, T.; Horiguchi, T.; Irmler, C.; Ishikawa, A.; Jeon, H. B.; Joo, C.; Kandra, J.; Kang, K. H.; Kato, E.; Kawasaki, T.; Kodyš, P.; Kohriki, T.; Koike, S.; Kolwalkar, M. M.; Kvasnička, P.; Lanceri, L.; Lettenbicher, J.; Mammini, P.; Mayekar, S. N.; Mohanty, G. B.; Mohanty, S.; Morii, T.; Nakamura, K. R.; Natkaniec, Z.; Negishi, K.; Nisar, N. K.; Onuki, Y.; Ostrowicz, W.; Paladino, A.; Paoloni, E.; Park, H.; Pilo, F.; Profeti, A.; Rao, K. K.; Rashevskaya, I.; Rizzo, G.; Rozanska, M.; Sandilya, S.; Sasaki, J.; Sato, N.; Schultschik, S.; Schwanda, C.; Seino, Y.; Shimizu, N.; Stypula, J.; Tanaka, S.; Tanida, K.; Taylor, G. N.; Thalmeier, R.; Thomas, R.; Tsuboyama, T.; Uozumi, S.; Urquijo, P.; Vitale, L.; Volpi, M.; Watanuki, S.; Watson, I. J.; Webb, J.; Wiechczynski, J.; Williams, S.; Würkner, B.; Yamamoto, H.; Yin, H.; Yoshinobu, T.
2016-07-01
The Belle II experiment at the SuperKEKB asymmetric e+e- collider in Japan will operate at a luminosity approximately 50 times larger than its predecessor (Belle). At its heart lies a six-layer vertex detector comprising two layers of pixelated silicon detectors (PXD) and four layers of double-sided silicon microstrip detectors (SVD). One of the key measurements for Belle II is time-dependent CP violation asymmetry, which hinges on a precise charged-track vertex determination. Towards this goal, a proper assembly of the SVD components with precise alignment ought to be performed and the geometrical tolerances should be checked to fall within the design limits. We present an overview of the assembly procedure that is being followed, which includes the precision gluing of the SVD module components, wire-bonding of the various electrical components, and precision three dimensional coordinate measurements of the jigs used in assembly as well as of the final SVD modules.
Belle II early physics program of bottomonium spectroscopy
Ye, Hua
2016-01-01
The Belle II experiment at the SuperKEKB collider is a major upgrade of the KEK "$B$ factory" facility in Tsukuba, Japan. Phase 1 commissioning of the main ring of SuperKEKB has started in February 2016 and first physics data will be recorded in 2017 during the so-called Phase 2 commissioning, when the partial Belle II detector will be operated still without its vertex detector. In 2018, the full Belle II detector will be rolled in and physics run will start. In this proceeding, a possible physics program for this early data run at different center-of-mass energies is described, in particular at the $\\Upsilon(3S)$ and $\\Upsilon(6S)$ resonances, amongst other energy points.
On the Debossing, Annealing and Mounting of Bells
PERRIN, R.; SWALLOWE, G. M.; CHARNLEY, T.; MARSHALL, C.
1999-10-01
Changes in the frequencies of the musical partials of various types of bells following debossing dismounting/mounting and annealing/quench annealing are reported. Debossing, dismounting and quench annealing lead to frequency drops, while mounting gives rises. Annealing can lead to frequency increases or decreases depending upon the maximum temperature employed and the initial residual stress. Qualitative explanations of these phenomena are given in terms of changes in crown stiffness, internal stress and alloy phase structure. These are supported by the results of X-ray diffraction measurements. Although the effects are all small they can be large enough to be detected by a reasonably musical car. This, together with the fact that the effects cannot be controlled, gives a plausible explanation of why modern bellfounders use vertical lathes for tuning, even with small carillon bells, and do not anneal bells when trying to control warble.
Bell-LaPadula模型研究综述%Survey of Bell-LaPadula model
Institute of Scientific and Technical Information of China (English)
刘波; 陈曙晖; 邓劲生
2013-01-01
对BLP(Bell-LaPadula)模型进行了简单的描述,并从完整性、可用性、灵活性等几个方面归纳了该模型的局限性；讨论了目前国内外针对BLP模型这几个方面的不足进行的相关研究和改进,并进行了总结和展望.%This paper firstly discribed the BLP model itself, and summarized the limitaions and problems in its integrity, usability, flexibility, and so on. Then, it discussed the existing research and improvements aimed at these limitations. Finally, this paper concluded the present and the future work in the field of BLP model.
International Nuclear Information System (INIS)
This paper analyzes the inequality in CO2 emissions across countries (and groups of countries) and the relationship of this inequality with income inequality across countries for the period (1971-1999). The research employs the tools that are usually applied in income distribution analysis. The methodology used here gives qualitative and quantitative information on some of the features of the inequalities across countries that are considered most relevant for the design and discussion of policies aimed at mitigating climate change. The paper studies the relationship between CO2 emissions and GDP and shows that income inequality across countries has been followed by an important inequality in the distribution of emissions. This inequality has diminished mildly, although the inequality in emissions across countries ordered in the increasing value of income (inequality between rich and poor countries) has diminished less than the 'simple' inequality in emissions. Lastly, the paper shows that the inequality in CO2 emissions is mostly explained by the inequality between groups with different per capita income level. The importance of the inequality within groups of similar per capita income is much lower and has diminished during the period, especially in the low middle income group
Does Social Security worsen inequality?
Jagadeesh Gokhale
2001-01-01
Gaps between the rich and poor grow once people hit retirement. Some say privatizing Social Security will increase wealth inequality among retirees. This Commentary argues it won't and suggests that the current system may be reducing wealth mobility from one generation to the next. This Commentary is based on a presentation given at the CATO Institute's conference on Social Security Privatization, February 5-7, 2001.
Social Inequality and the University
Georg, Werner
2005-01-01
Since Pierre Bourdieu's early work on «Reproduction», social inequality in the educational system and especially at university level was in the focus of sociological interest. On the background of Bourdieu's capital theory this contribution poses the question of how students from different social strata accumulate economic, social and cultural capital at the university. On the basis of a student survey conducted at the regions of Baden-Württemberg, Rhone-Alps and Catalunia, a comparison is ma...
Exploring Educational Inequalities in Romania
Ana-Maria ZAMFIR; Cristina MOCANU
2016-01-01
In the recent period, social inequalities have become a research topic of great interest for many scientists in the world. The participation of individuals to education is an important determinant for their access to subsequent opportunities, especially labor market opportunities. Moreover, an important number of studies show that education is one of the most influential factors that explain the amount of resources available to individuals in all their life cycles. In this context, reducing s...
Inequality Constrained State Space Models
Qian, Hang
2015-01-01
The standard Kalman filter cannot handle inequality constraints imposed on the state variables, as state truncation induces a non-linear and non-Gaussian model. We propose a Rao-Blackwellised particle filter with the optimal importance function for forward filtering and the likelihood function evaluation. The particle filter effectively enforces the state constraints when the Kalman filter violates them. We find substantial Monte Carlo variance reduction by using the optimal importance functi...
Essays on tackling economic inequalities
Fuchs, Benjamin
2016-01-01
This thesis provides a differentiated picture of two interventions and one policy reform to alleviate economic inequality. In two chapters this dissertation examines whether out-of-school activities affect behavioral outcomes reflecting character, social and executive function skills. The first essay in this thesis analyzes the effect of performing sports on a regular basis on the formation of character and social skills. The findings confirm that sports is generally a social activity. Fo...
Inequalities for the quantum privacy
Trindade, M. A. S.; Pinto, E.
2016-02-01
In this work, we investigate the asymptotic behavior related to the quantum privacy for multipartite systems. In this context, an inequality for quantum privacy was obtained by exploiting of quantum entropy properties. Subsequently, we derive a lower limit for the quantum privacy through the entanglement fidelity. In particular, we show that there is an interval where an increase in entanglement fidelity implies a decrease in quantum privacy.
Bayesian and frequentist inequality tests
David M. Kaplan; Zhuo, Longhao
2016-01-01
Bayesian and frequentist criteria are fundamentally different, but often posterior and sampling distributions are asymptotically equivalent (and normal). We compare Bayesian and frequentist hypothesis tests of inequality restrictions in such cases. For finite-dimensional parameters, if the null hypothesis is that the parameter vector lies in a certain half-space, then the Bayesian test has (frequentist) size $\\alpha$; if the null hypothesis is any other convex subspace, then the Bayesian test...
Inequalities in diet and nutrition
Tiffin, Richard; Salois, Matthew
2012-01-01
The inequality of nutrition and obesity re-focuses concern on who in society is consuming the worst diet. Identification of individuals with the worst of dietary habits permits for targeting interventions to assuage obesity among the population segment where it is most prevalent. We argue that the use of fiscal interventions does not appropriately take into account the economic, social and health circumstances of the intended beneficiaries of the policy. This paper reviews the ...
Social attitudes and regional inequalities
Directory of Open Access Journals (Sweden)
Vinko Muštra
2014-03-01
Full Text Available As the budgets of the European Union (EU become tighter, the questions about the effectiveness of EU’s expenditure, especially the most important parts such as Cohesion policy, are hotly debated. The aim of this paper is to examine whether the presence of social attitudes may influence the effectiveness of EU budget expenditure, measured by the level of regional inequalities. The analysis starts by focusing on individuals’ attitudes towards income from their own effort and income which is derived from other people’s effort, having in mind that individual actions depend on their attitudes. The next step establishes the link between the income from other people’s effort with the re-distributive dimension of the EU budget, considering that different attitudes among individuals in the EU could lead to significant differences in effectiveness of this redistributive policy among European regions and, consequently, diverse regional inequalities. Empirical research uses data for 27 EU countries observed over two waves of European Value Surveys: 1999-2000 (Wave 1 and 2008–2009 (Wave 2. The results indicate a significant role of social attitudes for regional inequalities, which raises the question of the appropriateness of simplification and uniform regional policy instruments in solving EU regional problems.
Climate policies under wealth inequality.
Vasconcelos, Vítor V; Santos, Francisco C; Pacheco, Jorge M; Levin, Simon A
2014-02-11
Taming the planet's climate requires cooperation. Previous failures to reach consensus in climate summits have been attributed, among other factors, to conflicting policies between rich and poor countries, which disagree on the implementation of mitigation measures. Here we implement wealth inequality in a threshold public goods dilemma of cooperation in which players also face the risk of potential future losses. We consider a population exhibiting an asymmetric distribution of rich and poor players that reflects the present-day status of nations and study the behavioral interplay between rich and poor in time, regarding their willingness to cooperate. Individuals are also allowed to exhibit a variable degree of homophily, which acts to limit those that constitute one's sphere of influence. Under the premises of our model, and in the absence of homophily, comparison between scenarios with wealth inequality and without wealth inequality shows that the former leads to more global cooperation than the latter. Furthermore, we find that the rich generally contribute more than the poor and will often compensate for the lower contribution of the latter. Contributions from the poor, which are crucial to overcome the climate change dilemma, are shown to be very sensitive to homophily, which, if prevalent, can lead to a collapse of their overall contribution. In such cases, however, we also find that obstinate cooperative behavior by a few poor may largely compensate for homophilic behavior.
Hadronic b {yields} c decays at Belle
Energy Technology Data Exchange (ETDEWEB)
Joshi, Nikhil Jayant [Tata Institute of Fundamental Research - TIFR, Homi Bhabha Road, Mumbai 400 005 (India)
2010-07-01
We present a measurement of the unitarity triangle angle {phi}{sub 3} using Dalitz plot analysis of three-body neutral D decays from the B{sup +} {yields} D{sup (*)}K{sup (*)+} process. The results are based on a large sample of B anti-B pairs recorded at the {Upsilon}(4S) resonance with the Belle detector at the KEKB e{sup +}e{sup -} collider. The decay B {yields} D{sup (*)} K{sup (*)} (D = D{sup 0} or anti-D{sup 0}) includes the b {yields} u transition and plays a crucial role in the measurement of the CP-violating angle {phi}{sub 3}. We present the result of a study of the decay B {yields} D{sup (*)} K{sup (*)} where the D meson is reconstructed from K{sup +} {pi}{sup -}. We also report improved measurements of the branching fractions for the decays B{sup 0} {yields} D{sub s}{sup (*)+} {pi}{sup -} and anti-B{sup 0} {yields} D{sub s}{sup (*)+} K{sup -}. Based on these results, we determine the ratio between the amplitudes of the doubly Cabibbo suppressed decay B{sup 0} {yields} D{sup (*)+} {pi}{sup -} and the Cabibbo favored decay B{sup 0} {yields} D{sup (*)-} {pi}{sup +}. We studied the three-body baryonic B{sup +} decays, B{sup +} {yields} p anti-{lambda} D{sup (*)0}. The branching fractions as well as the differential branching fractions as a function of the mass of the p anti-{lambda} system are presented. These results are compared with theoretical predictions based on the generalized factorization approach. We present a study of the exclusive decays B{sup 0} {yields} D{sub s}{sup -} K{sup 0}{sub S} {pi}{sup +} and B{sup -} to D{sub s}{sup +} K{sup -}K{sup -}. We use the D{sub s}{sup -} {yields} {phi} {pi}{sup -}, anti-K{sup *}(892)0 K{sup -} and K{sup 0}{sub S} K{sup -} decay modes for D{sub s} reconstruction. (author)
A paradigm of fragile Earth in Priestley's bell jar
Martin, Daniel; Thompson, Andrew; Stewart, Iain; Gilbert,Edward; Hope, Katrina; Kawai, Grace; Griffiths, Alistair
2012-01-01
Background Photosynthesis maintains aerobic life on Earth, and Joseph Priestly first demonstrated this in his eighteenth-century bell jar experiments using mice and mint plants. In order to demonstrate the fragility of life on Earth, Priestley's experiment was recreated using a human subject placed within a modern-day bell jar. Methods A single male subject was placed within a sealed, oxygen-depleted enclosure (12.4% oxygen), which contained 274 C3 and C4 plants for a total of 48 h. A combina...
When is facial paralysis Bell palsy? Current diagnosis and treatment.
Ahmed, Anwar
2005-05-01
Bell palsy is largely a diagnosis of exclusion, but certain features in the history and physical examination help distinguish it from facial paralysis due to other conditions: eg, abrupt onset with complete, unilateral facial weakness at 24 to 72 hours, and, on the affected side, numbness or pain around the ear, a reduction in taste, and hypersensitivity to sounds. Corticosteroids and antivirals given within 10 days of onset have been shown to help. But Bell palsy resolves spontaneously without treatment in most patients within 6 months.
[Treatment of idiopathic peripheral facial nerve paralysis (Bell's palsy)].
Meyer, Martin Willy; Hahn, Christoffer Holst
2013-01-28
Bell's palsy is defined as an idiopathic peripheral facial nerve paralysis of sudden onset. It affects 11-40 persons per 100,000 per annum. Many patients recover without intervention; however, up to 30% have poor recovery of facial muscle control and experience facial disfigurement. The aim of this study was to make an overview of which pharmacological treatments have been used to improve outcomes. The available evidence from randomized controlled trials shows significant benefit from treating Bell's palsy with corticosteroids but shows no benefit from antivirals.