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Bell inequalities are consequences of local realism while violated by quantum mechanics. In particle physics, entangled high energy particles can be produced from a common source, and the decay of each particle plays the role of…

High Energy Physics - Phenomenology · Physics 2020-09-22 Yu Shi , Ji-Chong Yang

The logical foundations of Bell's inequality are reexamined. We argue that the form of the reality condition that underpins Bell's inequality comes from the requirement of solving the quantum measurement problem. Hence any violation of…

Quantum Physics · Physics 2008-02-19 John V. Corbett , Dipankar Home

Statistical tests are needed to determine experimentally whether a hypothetical theory based on local realism can be an acceptable alternative to quantum mechanics. It is impossible to rule out local realism by a single test, as often…

Quantum Physics · Physics 2017-04-26 Asher Peres

Experiments showing the violation of Bell inequalities have formed our belief that the world at its smallest is genuinely non-local. While many non-locality experiments use the first quantised picture, the physics of fields of…

Quantum Physics · Physics 2013-05-29 Libby Heaney , Janet Anders

The precision with which we can measure operators that do not commute with conserved quantities is limited by the need to preserve the associated global symmetries. We show how to construct a local hidden-variable model that violates Bell…

Quantum Physics · Physics 2025-11-11 Alejandro J. Garza , Jonte R. Hance

In our contextual model, statistical independence is violated, thus it is not constrained by Bell Theorem. Individual outcomes are created locally in a deterministic way in a function of setting dependent variables describing measuring…

Quantum Physics · Physics 2023-05-23 Marian Kupczynski

The empirical proof of Bell inequality violations was a landmark moment for research into quantum foundations. It commits us to a universe without strict relativistic locality or requires that we escape through a potential loophole like…

Quantum Physics · Physics 2026-05-29 Geoff Beck

Wang et al. [Science Advances, 1 Aug 2025 Vol 11, Issue 31] recently reported an experiment that they interpret as demonstrating a violation of Bell's inequality using unentangled photons. Such a claim is highly controversial, since it is…

Quantum Physics · Physics 2025-09-04 Antoni Wójcik , Jan Wójcik

A Bell test is a randomized trial that compares experimental observations against the philosophical worldview of local realism. A Bell test requires spatially distributed entanglement, fast and high-efficiency detection and unpredictable…

Quantum Physics · Physics 2018-11-12 The BIG Bell Test Collaboration , C. Abellán , A. Acín , A. Alarcón , O. Alibart , C. K. Andersen , F. Andreoli , A. Beckert , F. A. Beduini , A. Bendersky , M. Bentivegna , P. Bierhorst , D. Burchardt , A. Cabello , J. Cariñe , S. Carrasco , G. Carvacho , D. Cavalcanti , R. Chaves , J. Cortés-Vega , A. Cuevas , A. Delgado , H. de Riedmatten , C. Eichler , P. Farrera , J. Fuenzalida , M. García-Matos , R. Garthoff , S. Gasparinetti , T. Gerrits , F. Ghafari Jouneghani , S. Glancy , E. S. Gómez , P. González , J. -Y. Guan , J. Handsteiner , J. Heinsoo , G. Heinze , A. Hirschmann , O. Jiménez , F. Kaiser , E. Knill , L. T. Knoll , S. Krinner , P. Kurpiers , M. A. Larotonda , J. -Å. Larsson , A. Lenhard , H. Li , M. -H. Li , G. Lima , B. Liu , Y. Liu , I. H. López Grande , T. Lunghi , X. Ma , O. S. Magaña-Loaiza , P. Magnard , A. Magnoni , M. Martí-Prieto , D. Martínez , P. Mataloni , A. Mattar , M. Mazzera , R. P. Mirin , M. W. Mitchell , S. Nam , M. Oppliger , J. -W. Pan , R. B. Patel , G. J. Pryde , D. Rauch , K. Redeker , D. Rieländer , M. Ringbauer , T. Roberson , W. Rosenfeld , Y. Salathé , L. Santodonato , G. Sauder , T. Scheidl , C. T. Schmiegelow , F. Sciarrino , A. Seri , L. K. Shalm , S. -C. Shi , S. Slussarenko , M. J. Stevens , S. Tanzilli , F. Toledo , J. Tura , R. Ursin , P. Vergyris , V. B. Verma , T. Walter , A. Wallraff , Z. Wang , H. Weinfurter , M. M. Weston , A. G. White , C. Wu , G. B. Xavier , L. You , X. Yuan , A. Zeilinger , Q. Zhang , W. Zhang , J. Zhong

In the present paper it is demonstrated that Bell's expression for local hidden variable correlation allows one to derive the quantum correlation. This raises questions about the use of Bell inequalities in experiments. In the paper a CHSH…

General Physics · Physics 2010-11-15 J. F Geurdes

In any Bell test, loopholes can cause issues in the interpretation of the results, since an apparent violation of the inequality may not correspond to a violation of local realism. An important example is the coincidence-time loophole that…

Quantum Physics · Physics 2017-08-16 Jonathan Jogenfors , Jan-Åke Larsson

The Bell inequalities in three and four correlations are re-derived in general forms showing that three and four data sets, respectively, identically satisfy them regardless of whether they are random, deterministic, measured, predicted, or…

Quantum Physics · Physics 2020-06-24 Louis Sica

The majority of recent works investigating the link between non-locality and randomness, e.g. in the context of device-independent cryptography, do so with respect to some specific Bell inequality, usually the CHSH inequality. However, the…

Quantum Physics · Physics 2014-01-23 O. Nieto-Silleras , S. Pironio , J. Silman

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…

Quantum Physics · Physics 2009-09-25 Marek Czachor

The Bell experiment is a random game with two binary outcomes whose statistical correlation is given by $E_0(\Theta)=-\cos(\Theta)$, where $\Theta \in [-\pi, \pi)$ is an angular input that parameterizes the game setting. The correlation…

Quantum Physics · Physics 2020-05-26 David H. Oaknin

Correlations for the Bell gedankenexperiment are constructed using probabilities given by quantum mechanics, and nonlocal information. They satisfy Bell's inequality and exhibit spatial non stationarity in angle. Correlations for three…

Quantum Physics · Physics 2015-06-26 Louis Sica

The device-independent approach to physics is one where conclusions about physical systems (and hence of Nature) are drawn directly and solely from the observed correlations between measurement outcomes. This operational approach to physics…

Quantum Physics · Physics 2019-02-28 Yeong-Cherng Liang , Yanbao Zhang

It is shown that Bell's counterfactuals admit joint quasiprobability distributions (i.e. joint distributions exist, but may not be non-negative). A necessary and sufficient condition for the existence among them of a true probability…

Quantum Physics · Physics 2007-05-23 Noam Erez

We put bounds on the minimum detection efficiency necessary to violate local realism in Bell experiments. These bounds depends of simple parameters like the number of measurement settings or the dimensionality of the entangled quantum…

Quantum Physics · Physics 2007-10-22 Serge Massar , Stefano Pironio

For a system composed of two particles Bell's theorem asserts that averages of physical quantities determined from local variables must conform to a family of inequalities. In this work we show that a classical model containing a local…

Quantum Physics · Physics 2008-06-22 A. Matzkin
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