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The Clauser-Horne-Shimony-Holt (CHSH) inequality (and its permutations), are necessary and sufficient criteria for Bell nonlocality in the simplest Bell-nonlocality scenario: 2 parties, 2 measurements per party and 2 outcomes per…

Quantum Physics · Physics 2015-06-30 Eric G. Cavalcanti , Christopher J. Foster , Maria Fuwa , Howard M. Wiseman

Wiseman and co-workers (Phys. Rev. Lett. 98, 140402, 2007) proposed a distinction between the nonlocality classes of Bell's nonlocality, steering and entanglement based on whether or not an overseer trusts each party in a bipartite scenario…

Quantum Physics · Physics 2011-10-27 E. G. Cavalcanti , Q. Y. He , M. D. Reid , H. M. Wiseman

Einstein-Podolsky-Rosen steering refers to the quantum phenomenon whereby the state of a system held by one party can be "steered" into different states at the will of another, distant, party by performing different local measurements.…

Quantum Physics · Physics 2019-06-12 Travis J. Baker , Sabine Wollmann , Geoff J. Pryde , Howard M. Wiseman

This paper provides a systematic analysis of Bell experiments from the relational perspective, demonstrating that the apparent ``nonlocality'' of quantum mechanics stems from a problematic application of relativistic principles rather than…

Quantum Physics · Physics 2025-09-11 Jan van Neerven , Marijn Waaijer

Local realism has been knocked down by the experiments with entangled pairs of particles based on Bell's theorem(J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964)). However, there has been continuing debate on whether locality or…

Quantum Physics · Physics 2014-07-24 Liangsuo Shu , Shiping Jin , Xiaokang Liu , Suyi Huang , Zhidong Zeng , Alice Fox , Kun Li , Jingyi Tan

We show how one can be led from considerations of quantum steering to Bell's theorem. We begin with Einstein's demonstration that, assuming local realism, quantum states must be in a many-to-one ("incomplete") relationship with the real…

Quantum Physics · Physics 2015-05-20 Sania Jevtic , Terry Rudolph

Entanglement and nonlocality are both fundamental aspects of quantum theory, and play a prominent role in quantum information science. The exact relation between entanglement and nonlocality is however still poorly understood. Here we make…

Quantum Physics · Physics 2012-01-24 Tamas Vertesi , Nicolas Brunner

In comparison with entanglement and Bell nonlocality, Einstein-Podolsky-Rosen steering is a newly emerged research topic and in its incipient stage. Although Einstein-Podolsky-Rosen steering has been explored via violations of steering…

Quantum Physics · Physics 2015-01-09 Chunfeng Wu , Jing-Ling Chen , Xiang-Jun Ye , Hong-Yi Su , Dong-Ling Deng , Zhenghan Wang , C. H. Oh

Understanding the quantitative relation between entanglement and Bell nonlocality is a long-standing open problem of fundamental and practical interest. Here, we tackle this problem in a general Bell scenario. {We observe that lying in the…

Quantum Physics · Physics 2026-04-21 Liang-Liang Sun , Xiang Zhou , Zhen-Peng Xu , Sixia Yu

The discovery of postquantum nonlocality, i.e., the existence of nonlocal correlations that are stronger than any quantum correlations but nevertheless consistent with the no-signaling principle, has deepened our understanding of the…

Quantum Physics · Physics 2015-11-09 Ana Belen Sainz , Nicolas Brunner , Daniel Cavalcanti , Paul Skrzypczyk , Tamás Vértesi

Ensembles containing orthogonal product states are found to be indistinguishable under local operations and classical communication (LOCC), thereby showing irreversibility in the preparation and distinguishing processes, which is commonly…

Quantum Physics · Physics 2020-09-10 Shiladitya Mal , Aditi Sen De

We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by $\frac{1}{\sqrt{2}}\{|N\rangle|0\rangle+|0\rangle|N\rangle\}$, called the two-mode NOON state. The…

Quantum Physics · Physics 2024-12-13 R. Y. Teh , L. Rosales-Zárate , B. Opanchuk , M. D. Reid

Bell nonlocality and steering are archetypal characteristics of quantum mechanics that mark a significant departure from conventional classical notions. They basically refer to the presence of quantum correlations between separated systems…

Quantum Physics · Physics 2025-02-07 Dhrumil Patel , Arup Roy , Indranil Chakrabarty , Nirman Ganguly

Activation of Bell nonlocality refers to the phenomenon that some entangled mixed states that admit a local hidden variable model in the standard Bell scenario nevertheless reveal their nonlocal nature in more exotic measurement scenarios.…

Quantum Physics · Physics 2021-07-14 Joseph Bowles , Flavien Hirsch , Daniel Cavalcanti

Einstein-Podolsky-Rosen steering is a kind of powerful nonlocal quantum resource in quantum information processing such as quantum cryptography and quantum communication. Many criteria have been proposed in the past few years to detect…

Quantum Physics · Physics 2022-09-16 Zhihua Chen , Shao-Ming Fei

For the Abner Shimony (AS) inequalities, the simplest unified forms of directions attaining the maximum quantum violation are investigated. Based on these directions, a family of Einstein-Podolsky-Rosen (EPR) steering inequalities is…

Quantum Physics · Physics 2018-08-22 Jie Zhou , Hui-Xian Meng , Shu-Han Jiang , Zhen-Peng Xu , Changliang Ren , Hong-Yi Su , Jing-Ling Chen

Superlocality and superunsteerability provide operational characterization of quantum correlations in certain local and unsteerable states respectively. Such quantum correlated states have a nonzero quantum discord. A two-way nonzero…

Quantum Physics · Physics 2023-10-19 Chellasamy Jebarathinam , Debarshi Das , R. Srikanth

It is a well-established fact that some quantum correlations can be nonlocal, meaning that they cannot be described by a local hidden variable model. Certain quantum correlations have a form of nonlocality so strong that they cannot be…

Quantum Physics · Physics 2026-04-30 Martin J. Renner , Edwin Peter Lobo , Arturo Konderak , Remigiusz Augusiak , Antonio Acín

Quantum entanglement does not necessarily imply Einstein-Podolsky-Rosen steering. We identify a \emph{boundary mechanism} that closes this gap when an entangled state meets the boundary of the trusted state space in a nondegenerate way. The…

Quantum Physics · Physics 2026-05-26 Yu-Xuan Zhang , Jing-Ling Chen

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
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