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It is shown that when properly analyzed using principles consistent with the use of a Hilbert space to describe microscopic properties, quantum mechanics is a local theory: one system cannot influence another system with which it does not…

Quantum Physics · Physics 2020-03-04 Robert B. Griffiths

The Einstein-Podolsky-Rosen (EPR) paradox is one of the milestones in quantum foundations, arising from the lack of local realistic description of quantum mechanics. The EPR paradox has stimulated an important concept of "quantum…

Quantum Physics · Physics 2021-05-03 Tianfeng Feng , Changliang Ren , Qin Feng , Maolin Luo , Xiaogang Qiang , Jing-Ling Chen , Xiaoqi Zhou

Bell nonlocality and Einstein-Podolsky-Rosen (EPR) steering are every important quantum correlations of a composite quantum system. Bell nonlocality of a bipartite state is a quantum correlation demonstrated by some local quantum…

Quantum Physics · Physics 2018-01-31 Huaixin Cao , Zhihua Guo

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

Starting from the late 60's many experiments have been performed to verify the violation Bell's inequality by Einstein-Podolsky-Rosen (EPR) type correlations. The idea of these experiments being that: (i) Bell's inequality is a consequence…

Quantum Physics · Physics 2009-09-25 Luigi Accardi , Massimo Regoli

The celebrated Einstein-Podolsky-Rosen quantum steering has a complex structure in the multipartite scenario. We show that a naively defined criterion for multipartite steering allows, like in Bell nonlocality, for a contradictory effect…

Quantum Physics · Physics 2021-05-07 M. M. Taddei , T. L. Silva , R. V. Nery , G. H. Aguilar , S. P. Walborn , L. Aolita

Recently quantum nonlocality has been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen steering, and Bell's nonlocality. Among which, Bell's nonlocality is the strongest type. Bell's nonlocality for…

Quantum Physics · Physics 2016-11-11 Jing-Ling Chen , Changliang Ren , Changbo Chen , Xiang-Jun Ye , Arun Kumar Pati

Quantum nonlocality is an essential nonlocality resource in quantum information. It has been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. In 1991, Gisin…

Quantum Physics · Physics 2025-12-29 Yu-Xuan Zhang , Jing-Ling Chen

Einstein-Podolsky-Rosen (EPR) steering is an intermediate type of quantum nonlocality which sits between entanglement and Bell nonlocality. A set of correlations is Bell nonlocal if it does not admit a local hidden variable (LHV) model,…

Quantum Physics · Physics 2017-06-28 Quan Quan , Huangjun Zhu , Heng Fan , Wen-Li Yang

Einstein-Podolsky-Rosen (EPR) steering, a fundamental concept of quantum nonlocality, describes one observer's capability to remotely affect another distant observer's state by local measurements. Unlike quantum entanglement and Bell…

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

Einstein-Podolsky-Rosen (EPR) steering describes a quantum nonlocal phenomenon in which one party can nonlocally affect the other's state through local measurements. It reveals an additional concept of quantum nonlocality, which stands…

Quantum Physics · Physics 2018-02-27 Kai Sun , Xiang-Jun Ye , Ya Xiao , Xiao-Ye Xu , Yu-Chun Wu , Jin-Shi Xu , Jing-Ling Chen , Chuan-Feng Li , Guang-Can Guo

Einstein-Podolsky-Rosen (EPR) steering and Bell nonlocality illustrate two different kinds of correlations predicted by quantum mechanics. They not only motivate the exploration of the foundation of quantum mechanics, but also serve as…

Quantum Physics · Physics 2023-09-29 Wei-Hao Huang , Shih-Hsuan Chen , Chun-Hao Chang , Tzu-Liang Hsu , Kuan-Jou Wang , Che-Ming Li

We investigate the relation between the incompatibility of quantum measurements and quantum nonlocality. We show that any set of measurements that is not jointly measurable (i.e. incompatible) can be used for demonstrating EPR steering, a…

Quantum Physics · Physics 2024-02-14 Marco Túlio Quintino , Tamás Vértesi , Nicolas Brunner

We formally link the concept of steering (a concept created by Schrodinger but only recently formalised by Wiseman, Jones and Doherty [Phys. Rev. Lett. 98, 140402 (2007)] and the criteria for demonstrations of Einstein-Podolsky-Rosen (EPR)…

Quantum Physics · Physics 2009-10-05 E. G. Cavalcanti , S. J. Jones , H. M. Wiseman , M. D. Reid

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality intermediate between entanglement and Bell nonlocality. Although Schr\"odinger already mooted the idea in 1935, steering still defies a complete understanding. In analogy to…

Quantum Physics · Physics 2013-07-09 Jing-Ling Chen , Xiang-Jun Ye , Chunfeng Wu , Hong-Yi Su , Adan Cabello , L. C. Kwek , C. H. Oh

The widespread claim that violations of Bell inequalities establish the nonlocality of nature is critically reexamined. It is argued that this conclusion is not logically compelled by either the Einstein-Podolsky-Rosen (EPR) argument or…

Quantum Physics · Physics 2026-05-05 Partha Ghose

Within the hierarchy of inseparable quantum correlations, Einstein-Podolsky-Rosen steering is distinguished from both entanglement and Bell nonlocality by its asymmetry -- there exist conditions where the steering phenomenon changes from…

Quantum Physics · Physics 2016-04-27 Sabine Wollmann , Nathan Walk , Adam J. Bennet , Howard M. Wiseman , G. J. Pryde

Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far only been proven for a restricted class of…

Entanglement is the defining feature of quantum mechanics, and understanding the phenomenon is essential at the foundational level and for future progress in quantum technology. The concept of steering was introduced in 1935 by…

Quantum Physics · Physics 2011-01-26 D. J. Saunders , S. J. Jones , H. M. Wiseman , G. J. Pryde
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