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Bell's inequalities for quantum mechanics

H. E. Andås

Physics Letters AJul 1, 19926 citations

Bell's Theorem and "Classical" Probability Theory

H. Razmi, Mohammad Golshani

Using CH model of Bell’s theorem and only by applying the conditional probability definition in ”classical ” probability theory,without imposing the locality condition,we are able to show that the stochastic realistic (CH) model cannot reproduce all of the predictions of quantum mechanics. PACS number: 03.65.Bz It is generally claimed that Bell inequalities are inconsistent with experimental data and with the predictions of quantum mechanics.A condition often used in the derivation of Bell inequalities is the so-called locality condition.The temptation is to attribute Bell inequalities violation to the violation of locality. In this paper we are goingUsing CH model of Bell’s theorem and only by applying the conditional probability definition in ”classical ” probability theory,without imposing the locality condition,we are able to show that the stochastic realistic (CH) model cannot reproduce all of the predictions of quantum mechanics. PACS number: 03.65.Bz It is generally claimed that Bell inequalities are inconsistent with experimental data and with the predictions of quantum mechanics.A condition often used in the derivation of Bell inequalities is the so-called locality condition.The temptation is to attribute Bell inequalities violation to the violation of locality. In this paper we are going

arXiv:quant-ph/9811072Nov 25, 19980 citations

Quantum nonlocality and Bell's inequalities

de Wm Willem Muynck, Willy De Baere

A number of additional assumptions is discussed playing a role in derivations of the Bell inequalities along with the locality condition. An analogy between quantum mechanics and statistical thermodynamics is exploited to demonstrate that the ex istence of conditional probabilities p(ai|,Lambda)generally assumed in stochastic hidden variables theories, may be questionable within the domain of application of quan tum mechanics. It is demonstrated how this could block derivations of the Bell inequalities and of the Kochen-Specker theorem. The analogy also provides a pos sible understanding of the nonlocality of quantum mechanics as evidenced by the Borchers-Schlieder theorem.A number of additional assumptions is discussed playing a role in derivations of the Bell inequalities along with the locality condition. An analogy between quantum mechanics and statistical thermodynamics is exploited to demonstrate that the ex istence of conditional probabilities p(ai|,Lambda)generally assumed in stochastic hidden variables theories, may be questionable within the domain of application of quan tum mechanics. It is demonstrated how this could block derivations of the Bell inequalities and of the Kochen-Specker theorem. The analogy also provides a pos sible understanding of the nonlocality of quantum mechanics as evidenced by the Borchers-Schlieder theorem.

Annals of the Israel Physical SocietyJan 1, 19960 citations

The Bell inequality in quantum mechanics

Springer eBooksJan 1, 20041 citation

Entropic Bell inequalities

Nicolas J. Cerf, Christoph Adami

We derive entropic Bell inequalities from considering entropy Venn diagrams. These entropic inequalities, akin to the Braunstein-Caves inequalities, are violated for a quantum-mechanical Einstein-Podolsky-Rosen pair, which implies that the conditional entropies of Bell variables must be negative in this case. This suggests that the satisfaction of entropic Bell inequalities is equivalent to the non-negativity of conditional entropies as a necessary condition for separability.

arXiv:quant-ph/9608047Physical Review AMay 1, 1997126 citations

On the violation of Bell's inequality in quantum theory

Lawrence J. Landau

Physics Letters AFeb 1, 1987232 citations

On conditional bell inequalities and quantum mechanics

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