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Over the past few decades, experimental tests of Bell-type inequalities have been at the forefront of understanding quantum mechanics and its implications. These strong bounds on specific measurements on a physical system originate from…

In this work, we study a recently proposed operational measure of nonlocality by Fonseca and Parisio~[Phys. Rev. A 92, 030101(R) (2015)] which describes the probability of violation of local realism under randomly sampled observables, and…

We propose an optimal numerical test for genuine multipartite nonlocality based on linear programming. In particular, we consider two non-equivalent models of local hidden variables, namely the Svetlichny and the no-signaling bilocal model.…

Quantum Physics · Physics 2022-12-28 Mahasweta Pandit , Artur Barasinski , Istvan Marton , Tamas Vertesi , Wieslaw Laskowski

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. 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Locality and realism are two main assumptions in deriving Bell's inequalities. Though the experimentally demonstrated violations of Bell's inequalities rule out local realism, it is, however, not clear what role each of the two assumptions…

Quantum Physics · Physics 2007-05-23 Zeng-Bing Chen , Sixia Yu , Yong-De Zhang

Quantum randomness can be certified from probabilistic behaviors demonstrating Bell nonlocality or Einstein-Podolsky-Rosen steering, leveraging outcomes from uncharacterized devices. However, such nonlocal correlations are not always…

Quantum Physics · Physics 2025-10-21 Yi Li , Yu Xiang , Jordi Tura , Qiongyi He

No-signaling theories, which can contain nonlocal correlations stronger than classical correlations but limited by the no-signaling condition, have deepened our understanding of the quantum theory. In principle, the nonlocality of these…

Quantum Physics · Physics 2016-11-01 Zhu Cao , Tianyi Peng

Bell nonlocality plays a fundamental role in quantum theory. Numerous tests of the Bell inequality have been reported since the ground-breaking discovery of the Bell theorem.Up to now, however, most discussions of the Bell scenario have…

Quantum Physics · Physics 2018-11-08 Meng-Jun Hu , Zhi-Yuan Zhou , Xiao-Min Hu , Chuan-Feng Li , Guang-Can Guo , Yong-Sheng Zhang

Based on the new general framework for the probabilistic description of experiments, introduced in quant-ph/0305126, quant-ph/0312199, we analyze in mathematical terms the link between the validity of Bell-type inequalities under joint…

Quantum Physics · Physics 2007-05-23 Elena R. Loubenets

The predictions of quantum theory are incompatible with local-causal explanations. This phenomenon is called Bell non-locality and is witnessed by violation of Bell-inequalities. The maximal violation of certain Bell-inequalities can only…

Quantum Physics · Physics 2023-08-01 Ekta Panwar , Palash Pandya , Marcin Wieśniak

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…

Quantum Physics · Physics 2015-10-23 Jing-Ling Chen , Xiang-Jun Ye

Device-independent randomness certification based on Bell nonlocality does not require any assumptions about the devices and therefore provides adequate security. Great effort has been made to demonstrate that nonlocality is necessary for…

Bell's theorem is 50 years old. Still there is a controversy about its implications. Much of it has its roots in confusion regarding the premises from which the theorem can be derived. Some claim that a derivation of Bell's inequalities…

Quantum Physics · Physics 2015-01-20 Marek Zukowski , Caslav Brukner

Quantum mechanics is strictly incompatible with local realism. It has been shown by Bell and others that it is possible, in principle, to experimentally differentiate between local realism and quantum mechanics. Numerous experiments have…

Quantum Physics · Physics 2018-05-24 Patrick Fraser , Barry Sanders

The non-local correlations exhibited when measuring entangled particles can be used to certify the presence of genuine randomness in Bell experiments. While non-locality is necessary for randomness certification, it is unclear when and why…

Quantum Physics · Physics 2013-11-18 Chirag Dhara , Giuseppe Prettico , Antonio Acin

Bell inequalities constitute a key tool in quantum information theory: they not only allow one to reveal nonlocality in composite quantum systems, but, more importantly, they can be used to certify relevant properties thereof. We provide a…

Quantum Physics · Physics 2020-01-22 F. Baccari , R. Augusiak , I. Šupić , J. Tura , A. Acín

Certifying quantum properties from the probability distributions they induce is an important task for several purposes. While this framework has been largely explored and used for quantum states, its extrapolation to the level of channels…

Quantum Physics · Physics 2025-07-23 Albert Rico , Moisés Bermejo Morán , Fereshte Shahbeigi , Karol Życzkowski

The no-signalling principle is a fundamental assumption in Bell-inequality and quantum-steering experiments. Nonetheless, experimental imperfections can lead to apparent violations beyond those expected from finite-sample statistics. Here,…

Nonlocality is one of the key features of quantum physics, which is revealed through the violation of a Bell inequality. In large multipartite systems, nonlocality characterization quickly becomes a challenging task. A common practice is to…

Quantum Physics · Physics 2026-02-13 Mengyao Hu , Eloïc Vallée , Tim Seynnaeve , Patrick Emonts , Fatemeh Mohammadi , Jordi Tura

Bell nonlocality, the fact that local hidden variable models cannot reproduce the correlations obtained by measurements on entangled states, is a cornerstone in our modern understanding of quantum theory. Apart from its fundamental…

Quantum Physics · Physics 2020-09-04 M. G. M. Moreno , Samuraí Brito , Ranieri V. Nery , Rafael Chaves