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A bipartite spin-1/2 system having the probabilities $\frac{1+3x}{4}$ of being in the Einstein-Podolsky-Rosen entangled state $|\Psi^-$$> \equiv \frac{1}{\sqrt 2}(|$$\uparrow>_A|$$\downarrow>_B$$-|$$\downarrow>_A|$$\uparrow>_B)$ and…

Quantum Physics · Physics 2007-05-23 Constantino Tsallis , Seth Lloyd , Michel Baranger

Entanglement and Bell nonlocality are known to be inequivalent: there exist entangled states that admit a local hidden-variable model for all local measurements. Here we show that this gap disappears in a minimal broadcast extension of the…

Quantum Physics · Physics 2025-12-18 Pavel Sekatski , Jef Pauwels

We address the problem of detecting bipartite Bell nonlocality whenever the only experimental information are the intensities produced in each run of the experiment by an unknown number of particles. We point out that this scenario…

Quantum Physics · Physics 2020-09-02 Ari Patrick , Adán Cabello

We consider Bell tests involving bipartite states shared between three parties. We show that the simple inclusion of a third part may greatly simplify the measurement scenario (in terms of the number of measurement settings per part) and…

Quantum Physics · Physics 2012-01-26 Daniel Cavalcanti , Rafael Rabelo , Valerio Scarani

We show that failure of local realism can be revealed to observers for whom only extremely coarse-grained measurements are available. In our instances, Bell's inequality is violated even up to the maximum limit while both the local…

Quantum Physics · Physics 2009-11-13 H. Jeong , M. Paternostro , T. C. Ralph

Bipartite quantum entangled systems can exhibit measurement correlations that violate Bell inequalities, revealing the profoundly counter-intuitive nature of the physical universe. These correlations reflect the impossibility of…

Quantum Physics · Physics 2015-02-02 B. L. Higgins , M. S. Palsson , G. Y. Xiang , H. M. Wiseman , G. J. Pryde

Self-testing refers to the phenomenon that certain extremal quantum correlations (almost) uniquely identify the quantum system under consideration. For instance observing the maximal violation of the CHSH inequality certifies that the two…

Quantum Physics · Physics 2016-08-12 Jędrzej Kaniewski

It is generally believed that Bell's inequality holds for the case of entangled states, including two correlated particles or special states of a single particle. Here, we derive a single-particle Bell's inequality for two correlated spin…

Quantum Physics · Physics 2007-05-23 A. Shafiee , M. Golshani

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…

Quantum Physics · Physics 2010-02-22 Tamas Vertesi , Stefano Pironio , Nicolas Brunner

The Bell inequality constrains the outcomes of measurements on pairs of distant entangled particles. The Bell contradiction states that the Bell inequality is inconsistent with the calculated outcomes of these quantum experiments. This…

Quantum Physics · Physics 2026-03-03 Kees van Hee , Kees van Berkel , Jan de Graaf

Consider the task of verifying that a given quantum device, designed to produce a particular entangled state, does indeed produce that state. One natural approach would be to characterise the output state by quantum state tomography; or…

Quantum Physics · Physics 2018-04-26 Sam Pallister , Noah Linden , Ashley Montanaro

We show that a Bell inequality test using an optical hybrid state between a polarized single photon and a coherent field can be highly robust against detection inefficiency. The Bell violation occurs until the efficiency becomes as low as…

Quantum Physics · Physics 2013-12-11 Hyukjoon Kwon , Hyunseok Jeong

By introducing a quantitative `degree of commutativity' in terms of the angle between spin-observables we present two tight quantitative trade-off relations in the case of two qubits: First, for entangled states, between the degree of…

Quantum Physics · Physics 2007-10-09 Michael Seevinck , Jos Uffink

The interpretation of the meaning of Quantum Mechanics has faced controversy since its inception. Bell's inequalities are a touchstone in this controversy. Their observed violation demonstrates that at least one of the hypotheses involved…

Quantum Physics · Physics 2026-03-27 Mónica Agüero , Juliana Bordieu , Alejandro Hnilo , Marcelo Kovalsky , Myriam Nonaka

To date, most efforts to demonstrate quantum nonlocality have concentrated on systems of two (or very few) particles. It is however difficult in many experiments to address individual particles, making it hard to highlight the presence of…

We derive tight Bell's inequalities for N>2 observers involving more than two alternative measurement settings. We give a necessary and sufficient condition for a general quantum state to violate the new inequalities. The inequalities are…

Quantum Physics · Physics 2009-11-10 Wieslaw Laskowski , Tomasz Paterek , Marek Zukowski , Caslav Brukner

The quest for fundamental test of quantum mechanics is an ongoing effort. We here address the question of what are the lowest possible moments needed to prove quantum nonlocality and noncontextuality without any further assumption -- in…

Quantum Physics · Physics 2014-03-04 Adam Bednorz , Witold Bednorz , Wolfgang Belzig

The non-locality of quantum correlations is a fundamental feature of quantum theory. The Bell inequality serves as a benchmark for distinguishing between predictions made by quantum theory and local hidden variable theory (LHVT). Recent…

High Energy Physics - Experiment · Physics 2025-07-02 BESIII Collaboration , M. Ablikim , M. N. Achasov , P. Adlarson , X. C. Ai , R. Aliberti , A. Amoroso , M. R. An , Q. An , Y. Bai , O. Bakina , I. Balossino , Y. Ban , V. Batozskaya , K. Begzsuren , N. Berger , M. Berlowski , M. Bertani , D. Bettoni , F. Bianchi , E. Bianco , A. Bortone , I. Boyko , R. A. Briere , A. Brueggemann , H. Cai , X. Cai , A. Calcaterra , G. F. Cao , N. Cao , S. A. Cetin , J. F. Chang , T. T. Chang , W. L. Chang , G. R. Che , G. Chelkov , C. Chen , Chao Chen , G. Chen , H. S. Chen , M. L. Chen , S. J. Chen , S. M. Chen , T. Chen , X. R. Chen , X. T. Chen , Y. B. Chen , Y. Q. Chen , Z. J. Chen , W. S. Cheng , S. K. Choi , X. Chu , G. Cibinetto , S. C. Coen , F. Cossio , J. J. Cui , H. L. Dai , J. P. Dai , A. Dbeyssi , R. E. de Boer , D. Dedovich , Z. Y. Deng , A. Denig , I. Denysenko , M. Destefanis , F. DeMori , B. Ding , X. X. Ding , Y. Ding , Y. Ding , J. Dong , L. Y. Dong , M. Y. Dong , X. Dong , M. C. Du , S. X. Du , Z. H. Duan , P. Egorov , Y. L. Fan , J. Fang , S. S. Fang , W. X. Fang , Y. Fang , R. Farinelli , L. Fava , F. Feldbauer , G. Felici , C. Q. Feng , J. H. Feng , K. Fischer , M. Fritsch , C. Fritzsch , C. D. Fu , J. L. Fu , Y. W. Fu , H. Gao , Y. N. Gao , YangGao , S. Garbolino , I. Garzia , P. T. Ge , Z. W. Ge , C. Geng , E. M. Gersabeck , AGilman , K. Goetzen , L. Gong , W. X. Gong , W. Gradl , S. Gramigna , M. Greco , M. H. Gu , C. YGuan , Z. L. Guan , A. Q. Guo , L. B. Guo , M. J. Guo , R. P. Guo , Y. P. Guo , A. Guskov , T. T. Han , W. Y. Han , X. Q. Hao , F. A. Harris , K. K. He , K. L. He , F. HH. . Heinsius , C. H. Heinz , Y. K. Heng , C. Herold , T. Holtmann , P. C. Hong , G. Y. Hou , X. T. Hou , Y. R. Hou , Z. L. Hou , H. M. Hu , J. F. Hu , T. Hu , Y. Hu , G. S. Huang , K. X. Huang , L. Q. Huang , X. T. Huang , Y. P. Huang , T. Hussain , NHüsken , W. Imoehl , J. Jackson , S. Jaeger , S. Janchiv , J. H. Jeong , Q. Ji , Q. P. Ji , X. B. Ji , X. L. Ji , Y. Y. 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We have constructed and run a Bell test of local realism focusing on the objectivity criterion. The objectivity means that the outcomes are confirmed macroscopically by a few observers at each party. The IBM Quantum and IonQ devices turn…

Quantum Physics · Physics 2025-06-27 Adam Bednorz , Josep Batle , Tomasz Białecki , Jarosław K. Korbicz

One of the conclusions that Bell drew from his famous inequality was that any hidden variable theory that satisfies Local Causality is incompatible with the predictions of Quantum Mechanics for Bell's Experiment. However, Local Causality…

Quantum Physics · Physics 2026-03-18 Joanna Luc