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We derive N-particle Bell-type inequalities under the assumption of partial separability, i.e. that the N-particle system is composed of subsystems which may be correlated in any way (e.g. entangled) but which are uncorrelated with respect…

量子物理 · 物理学 2009-01-20 Michael Seevinck , George Svetlichny

We show that correlations inconsistent with any locally causal description can be a generic feature of measurements on entangled quantum states. Specifically, spatially-separated parties who perform local measurements on a…

量子物理 · 物理学 2016-09-08 Yeong-Cherng Liang , Nicholas Harrigan , Stephen D. Bartlett , Terry Rudolph

Local realistic models cannot completely describe all predictions of quantum mechanics. This is known as Bell's theorem that can be revealed either by violations of Bell inequality, or all-versus-nothing proof of nonlocality. Hardy's…

Since the pillars of quantum theory were established, it was already noted that quantum physics may allow certain correlations defying any local realistic picture of nature, as first recognized by Einstein, Podolsky and Rosen. These quantum…

This paper proposes a generalized Bell-like inequality (GBI) for multiparticle entangled Schr\"{o}dinger-cat--states of arbitrary spin-$s$. Based on quantum probability statistics the GBI and violation are formulated in an unified manner…

量子物理 · 物理学 2022-01-03 Yan Gu , Wei-Dong Li , Xiao-Lei Hao , Jiu-Qing Liang , Lian-Fu Wei

This letter presents quantum mechanical inequalities which distinguish, for systems of $N$ spin-$\half$ particles ($N>2$), between fully entangled states and states in which at most $N-1$ particles are entangled. These inequalities are…

量子物理 · 物理学 2009-11-07 Jos Uffink

A proof of Bell's theorem without inequalities for two maximally entangled particles is proposed using the technique of quantum teleportation. It follows Hardy's arguments for a non-maximally entangled state with the help of two auxiliary…

量子物理 · 物理学 2007-05-23 W. LiMing

Quantum nonlocality of several four-qubit states is investigated by constructing a new Bell inequality. These include the Greenberger-Zeilinger-Horne (GHZ) state, W state, cluster state, and the state $|\chi>$ that has been recently…

量子物理 · 物理学 2013-05-29 Chunfeng Wu , Ye Yeo , L. C. Kwek , C. H. Oh

For two particles with different spin, we derive the Bell's inequality. The inequality is investigated for two systems combining spin-1 and 1/2; spin-1/2 and 3/2. We show that for these states Bell's inequality is violated.

量子物理 · 物理学 2012-01-10 Shahpoor Moradi

We generalize Hardy's proof of nonlocality to the case of bipartite mixed statistical operators, and we exhibit a necessary condition which has to be satisfied by any given mixed state $\sigma$ in order that a local and realistic hidden…

量子物理 · 物理学 2009-11-13 GianCarlo Ghirardi , Luca Marinatto

We generalize Bell's inequalities to biparty systems with continuous quantum variables. This is achieved by introducing the Bell operator in perfect analogy to the usual spin-1/2 systems. It is then demonstrated that two-mode squeezed…

量子物理 · 物理学 2009-11-07 Zeng-Bing Chen , Jian-Wei Pan , Guang Hou , Yong-De Zhang

A local theory with a local correlation is proposed to give an explanation for the contractions in the GHZ-like proofs for Bell's theorem and the violation to Bell's inequality. It agrees with the experimental predictions for the GHZ state…

量子物理 · 物理学 2008-08-27 W LiMing , Zhilie Tang

Bell-like inequalities have been used in order to distinguish non-local quantum pure states by various authors. The behavior of such inequalities under Lorentz transformation has been a source of debate and controversies in the past. In…

综合物理 · 物理学 2016-06-07 H. Moradpour , A. Montakhab

A well-known manifestation of quantum entanglement is that it may lead to correlations that are inexplicable within the framework of a locally causal theory --- a fact that is demonstrated by the quantum violation of Bell inequalities. The…

量子物理 · 物理学 2012-12-07 Yeong-Cherng Liang , Lluis Masanes , Denis Rosset

Recently, Chen et al introduced an alternative form of Hardy's paradox for $2$-settings and high-dimensional systems [Phy. Rev. A 88, 062116 (2013)], in which there is a great progress in improving the maximum probability of the nonlocal…

量子物理 · 物理学 2018-12-12 H. X. Meng , J. Zhou , Z. P. Xu , H. Y. Su , T. Gao , F. L. Yan , J. L. Chen

Entanglement, the Einstein-Podolsky-Rosen (EPR) paradox and Bell's failure of local-hidden-variable (LHV) theories are three historically famous forms of "quantum nonlocality". We give experimental criteria for these three forms of…

量子物理 · 物理学 2014-05-09 M. D. Reid , Q. Y. He , P. D. Drummond

Violation of Bell's Inequalities gives experimental evidence for the existence of a spin 1/2 which has two simultaneous axes of spin quantization rather than one. These couple to form a resonance state, called the spin fringe, and this…

综合物理 · 物理学 2007-10-10 B. C. Sanctuary

In a recent Brief Report, Zheng [S-B. Zheng, PRA 66, 014103 (2002)] has given a proof of nonlocality without using inequalities for three spin-1/2 particles in the nonmaximally entangled state |psi> = cos\theta |+++> + i sin\theta |-->.…

量子物理 · 物理学 2007-05-23 Jose L. Cereceda

Whether every pure genuinely multipartite entangled (GME) state necessarily exhibits genuine multipartite nonlocality (GMNL) remains an open question. By combining a recently proposed Bell inequality [I. Stachura \textit{et al.},…

量子物理 · 物理学 2025-10-16 Jakub Wójcik , Wojciech Bruzda , Ignacy Stachura , Remigiusz Augusiak

A proof of Bell's theorem without inequalities valid for both inequivalent classes of three-qubit entangled states under local operations assisted by classical communication, namely Greenberger-Horne-Zeilinger (GHZ) and W, is described.…

量子物理 · 物理学 2009-07-28 Adan Cabello