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We generalize the correlation functions of the Clauser-Horne-Shimony-Holt (CHSH) inequality to multipartite d-dimensional systems. All the Bell inequalities based on this generalization take the same simple form as the CHSH inequality. For…

Quantum Physics · Physics 2009-11-13 Jing-Ling Chen , Dong-Ling Deng

In the celebrated paper [J. Phys. A: Math. Gen. 37, 1775 (2004)], D. Collins and N. Gisin presented for the first time a three setting Bell inequality (here we call it CG inequality for simplicity) which is relevant to the…

Quantum Physics · Physics 2009-02-23 Dong-Ling Deng , Zi-Sui Zhou , Jing-Ling Chen

It is by now well-established that there exist non-local games for which the best entanglement-assisted performance is not better than the best classical performance. Here we show in contrast that any two-player XOR game, for which the…

Quantum Physics · Physics 2022-11-28 Llorenç Escolà-Farràs , John Calsamiglia , Andreas Winter

In recent papers, the theory of representations of finite groups has been proposed to analyzing the violation of Bell inequalities. In this paper, we apply this method to more complicated cases. For two partite system, Alice and Bob each…

Quantum Physics · Physics 2017-05-16 Yanmin Yang , Zhu-Jun Zheng

For many protocols, quantum strategies have advantages compared with their classical counter-partners, and these advantages have attracted many interests and applications. One of the famous examples is the Clauser-Horne-Shimony-Holt (CHSH)…

Quantum Physics · Physics 2022-01-26 Zhiyu Tian , Yuan-Yuan Zhao , Hao Wu , Zhao Wang , Le Luo

In this work, we present a new class of genuine multipartite Bell inequalities, that is particularly designed for multipartite device-independent (DI) quantum key distribution (QKD), also called DI conference key agreement. We prove the…

Quantum Physics · Physics 2020-07-01 Timo Holz , Hermann Kampermann , Dagmar Bruß

There are increasingly suggestions for computer simulations of quantum statistics which try to violate Bell type inequalities via classical, common cause correlations. The Clauser-Horne-Shimony-Holt (CHSH) inequality is very robust.…

Quantum Physics · Physics 2013-09-17 Sascha Vongehr

Imagine two parties, Alice and Bob who share an entangled quantum state. A well-established result that if Alice performs two-outcome measurement on the portion of the state in her possession and Bob does likewise, they are able to produce…

Quantum Physics · Physics 2009-11-13 T. Vértesi , K. F. Pál

Entangled quantum systems can exhibit correlations that cannot be simulated classically. For historical reasons such correlations are called "Bell inequality violations." We give two new two-player games with Bell inequality violations that…

Quantum Physics · Physics 2022-03-01 Harry Buhrman , Oded Regev , Giannicola Scarpa , Ronald de Wolf

Bell inequalities provide a fundamental tool for probing nonlocal correlations, yet their quantum bound, that is, the maximal value attainable through quantum strategies, is rarely accessible analytically. In this work, we introduce a…

Quantum Physics · Physics 2025-11-25 Patryk Michalski , Arturo Konderak , Wojciech Bruzda , Remigiusz Augusiak

We show that a recent observation by Yan leads to a method to experimentally test whether a higher-than-quantum violation of the Clauser-Horne-Shimony-Holt Bell inequality is possible (assuming that the sum of probabilities of pairwise…

Quantum Physics · Physics 2013-03-27 Adan Cabello

We construct a Bell inequality from the Clauser-Horne-Shimony-Holt inequality for two qubits that provides a stronger bound on the correlations of entangled states than allowed by the CHSH inequality. The argument involved here can be…

Quantum Physics · Physics 2007-11-07 Zeqian Chen

The growing recognition that entanglement is not exclusively a quantum property, and does not even originate with Schr\"odinger's famous remark about it [Proc. Camb. Phil. Soc. 31, 555 (1935)], prompts examination of its role in marking the…

Quantum Physics · Physics 2015-06-29 Xiao-Feng Qian , Bethany Little , John C. Howell , J. H. Eberly

Non-local games are an important part of quantum information processing. Recently there has been an increased interest in generalizing non-local games beyond the basic setup by considering games with multiple parties and/or with large…

Quantum Physics · Physics 2016-09-09 Matej Pivoluska , Marcin Pawlowski , Martin Plesch

We construct ($d\times d$)-dimensional bound entangled states, which violate, for any $d>2$, a bipartite Bell inequality introduced in this paper. We conjecture that the proposed class of Bell inequalities acts as a dimension witness for…

Quantum Physics · Physics 2017-12-29 Karoly F Pal , Tamas Vertesi

Bell inequalities are mathematical constructs that demarcate the boundary between quantum and classical physics. A new class of multiplicative Bell inequalities originating from a volume maximization game (based on products of correlators…

We study the faces of the set of quantum correlations, i.e., the Bell and noncontextuality inequalities without any quantum violation. First, we investigate the question whether every proper (tight) Bell inequality for two parties, other…

We present here a classical optics device based on an imaging architecture as analogy of a quantum system where the violation of the Bell inequality can be evidenced. In our case, the two qbits entangled state needed to obtain non classical…

Quantum Physics · Physics 2009-04-22 M. Goldin , D. Francisco , S. Ledesma

Quantum pseudo-telepathy games, such as the Mermin-Peres magic square and the doily game, theoretically allow players to win with unit probability when using entangled quantum strategies. We quantitatively characterize the quantum advantage…

Quantum Physics · Physics 2026-02-16 Gábor Homa , András Bodor , József Zsolt Bernád

Some authors have raised the question whether the probabilities stemming from a quantum mechanical computation are entitled to enter the Bell and the Clauser-Horne inequalities. They have remarked that if the quantum probabilities are given…

Quantum Physics · Physics 2007-05-23 S. Antoci , L. Mihich
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