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Bell's theorem shows a profound contradiction between local realism and quantum mechanics on the level of statistical predictions. It does not involve directly Einstein-Podolsky-Rosen (EPR) correlations. The paradox of…

We report the first experimental violation of local realism in four-photon Greenberger-Horne-Zeilinger (GHZ) entanglement. In the experiment, the non-statistical GHZ conflicts between quantum mechanics and local realism are confirmed,…

Quantum Physics · Physics 2009-11-10 Zhi Zhao , Tao Yang , Yu-Ao Chen , An-Ning Zhang , Marek Zukowski , Jian-Wei Pan

As a development of our previous work, this paper is concerned with the Greenberger-Horne-Zeilinger (GHZ) nonlocality for continuous variable cases. The discussion is based on the introduction of a pseudospin operator, which has the same…

Quantum Physics · Physics 2009-11-07 Zeng-Bing Chen , Yong-De Zhang

The Greenberger, Horne, Zeilinger (GHZ) theorem is critically important to consideration of the possibility of hidden variables in quantum mechanics. Since it depends on predictions of single sets of measurements on three particles, it…

Quantum Physics · Physics 2012-05-09 Louis Sica

The Greenberger-Horne-Zeilinger~(GHZ) version of the Einstein-Podolsky-Rosen~(EPR) paradox is widely regarded as a conclusive logical argument that rules out the possibility of describing quantum phenomena within the framework of a local…

Quantum Physics · Physics 2017-09-04 David H. Oaknin

Greenberger-Horne-Zeilinger (GHZ) theorem asserts that there is a set of mutually commuting nonlocal observables with a common eigenstate on which those observables assume values that refute the attempt to assign values only required to…

Quantum Physics · Physics 2007-05-23 Li Tang , Jie Zhong , Yaofeng Ren , Mingsheng Zhan , Zeqian Chen

It is widely appreciated, due to Bell's theorem, that quantum phenomena are inconsistent with local-realist models. In this context, locality refers to local causality, and there is thus an open possibility for reproducing the quantum…

Quantum Physics · Physics 2024-01-18 Izhar Neder , Nathan Argaman

In eliminating the fair sampling assumption, the Greenberger, Horne, Zeilinger (GHZ) theorem is believed to confirm Bell's historic conclusion that local hidden variables are inconsistent with the results of quantum mechanics. The GHZ…

Quantum Physics · Physics 2013-11-28 Louis Sica

The Greenberger-Horne-Zeilinger (GHZ) argument provides an all-or-nothing contradiction between quantum mechanics and local-realistic theories. In its original formulation, GHZ investigated three and four particles entangled in two…

Quantum Physics · Physics 2018-12-14 Manuel Erhard , Mehul Malik , Mario Krenn , Anton Zeilinger

One fascinating way of revealing the quantum nonlocality is the all-versus-nothing test due to Greenberger, Horne, and Zeilinger (GHZ) known as GHZ paradox. So far genuine multipartite and multilevel GHZ paradoxes are known to exist only in…

Quantum Physics · Physics 2013-03-22 Weidong Tang , Sixia Yu , C. H. Oh

Most physicists agree that the Einstein-Podolsky-Rosen-Bell paradox exemplifies much of the strange behavior of quantum mechanics, but argument persists about what assumptions underlie the paradox. To clarify what the debate is about, we…

Quantum Physics · Physics 2015-05-13 Guy Blaylock

In the Greenberger-Horne-Zeilinger-Mermin (GHZM) proof of Bell's theorem, a source periodically emits an entangled state of three particles whose properties are analyzed by three distant observers and used to prove Bell's nonlocality…

Quantum Physics · Physics 2007-05-23 P. K. Aravind

Greenberger-Horne-Zeilinger (GHZ) paradox provides an all-versus-nothing test for the quantum nonlocality. In all the GHZ paradoxes known so far each observer is allowed to measure only two alternative observables. Here we shall present a…

Quantum Physics · Physics 2017-08-31 Weidong Tang , Sixia Yu , C. H. Oh

The Einstein-Podolsky-Rosen (EPR) paradox gives an argument for the incompleteness of quantum mechanics based on the premises of local realism. A general view is that the argument is compromised, because EPR's premises are falsified by…

Quantum Physics · Physics 2024-12-03 Jesse Fulton , Run Yan Teh , M. D. Reid

The thesis is divided into three parts. In the first part a new theoretical analysis of interferometric experiments by Alley-Shih, Ou-Mandel and the entanglement swapping experiment is performed. It is shown that the double- and…

Quantum Physics · Physics 2009-09-25 Dagomir Kaszlikowski

In this article we show that the three-particle GHZ theorem can be reformulated in terms of inequalities, allowing imperfect correlations due to detector inefficiencies. We show quantitatively that taking into accout those inefficiencies,…

Quantum Physics · Physics 2009-11-06 J. Acacio de Barros , P. Suppes

The Greenberger-Horne-Zeilinger (GHZ) puzzle has been used to study quantum nonlocality and provide an all-or-nothing, no-go theorem for local hidden-variable models. Recent experiments using coincident-detected entangled photons prepared…

Quantum Physics · Physics 2021-04-30 Brian R. La Cour

A realistic theory is constructed for the GHZ experiment. It is shown that the theory is local and it reproduces all the probabilistic predictions of quantum theory. This local realistic theory shows that GHZ had formulated Einstein's…

Quantum Physics · Physics 2007-05-23 Boon Leong Lan

Greenberger-Horne-Zeilinger (GHZ) states are characterized by their transformation properties under a continuous symmetry group, and $N$-body operators that transform covariantly exhibit a wealth of GHZ contradictions. We show that local or…

Quantum Physics · Physics 2015-06-16 Jay Lawrence

In all local realistic theories worked out till now, locality is considered as a basic assumption. Most people in the field consider the inconsistency between local realistic theories and quantum mechanics to be a result of non-local nature…

Quantum Physics · Physics 2007-05-23 A. Fahmi , M. Golshani
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