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Fermionic hidden variables and Einstein-Podolsky-Rosen correlations

P. Freund

Fermionic hidden variables, unlike bosonic ones, allow a local factorization of Einstein-Podolsky-Rosen correlations, thus circumventing the Bell-inequality problems.Received 26 May 1981DOI:https://doi.org/10.1103/PhysRevD.24.1526©1981 American Physical Society

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsSep 15, 19811 citation

Einstein-Podolsky-Rosen correlation - parallelism between the Wigner function and the local hidden variable approaches

G. S. Agarwal, Dipankar Home, W. P. Schleich

Physics Letters ANov 1, 199218 citations

Analysis of Wigner’s Set Theoretical Proof for Bell-Type Inequalities

Karl Hess, Hans A. De Raedt, Kristel Michielsen

We present a detailed analysis of the set theoretical proof of Wigner for Bell type inequalities with the following result. Wigner introduced a crucial assumption that is not related to Einstein’s local realism, but instead, without justification, to the existence of certain joint probability measures for possible and actual measurement outcomes of Einstein-Podolsky-Rosen (EPR) experiments. His conclusions about Einstein’s local realism are, therefore, not applicable to EPR experiments and the contradiction of the experimental outcomes to Wigner’s results has no bearing on the validity of Einstein’s local realism.We present a detailed analysis of the set theoretical proof of Wigner for Bell type inequalities with the following result. Wigner introduced a crucial assumption that is not related to Einstein’s local realism, but instead, without justification, to the existence of certain joint probability measures for possible and actual measurement outcomes of Einstein-Podolsky-Rosen (EPR) experiments. His conclusions about Einstein’s local realism are, therefore, not applicable to EPR experiments and the contradiction of the experimental outcomes to Wigner’s results has no bearing on the validity of Einstein’s local realism.

arXiv:1612.03606Journal of Modern PhysicsJan 1, 201710 citations

Einstein–Podolsky–Rosen paradox, hidden variables, Bell’s inequalities, and all that

A. Gamba

American Journal of PhysicsApr 1, 19870 citations

The Locality in Quantum Physics

Masao Nagasawa

As clarified in preceding chapters, conventional “quantum mechanics” is not a complete theory. This fact was pointed out by Einstein-Podolsky-Rosen (1935). In connection with the completeness problem, the locality of hidden-variable theories of quantum mechanics was suspected. It seems that Bell’s discussion (1964) based on his inequality has convinced people that any hidden-variable theory becomes necessarily incompatible with quantum mechanics if it satisfies the locality. But, as will be shown, Bell’s conclusion (1964) is not correct.As clarified in preceding chapters, conventional “quantum mechanics” is not a complete theory. This fact was pointed out by Einstein-Podolsky-Rosen (1935). In connection with the completeness problem, the locality of hidden-variable theories of quantum mechanics was suspected. It seems that Bell’s discussion (1964) based on his inequality has convinced people that any hidden-variable theory becomes necessarily incompatible with quantum mechanics if it satisfies the locality. But, as will be shown, Bell’s conclusion (1964) is not correct.

Birkhäuser Basel eBooksJan 1, 20000 citations

The alternative perspective on Bell inequalities

Інна Юхимівна Ковтонюк, Вадим Сергійович Ковтонюк, Vadym Kovtoniuk

1. Einstein A. Can quantum-mechanical description of physical reality be considered complete? / A. Einstein, B. Podolsky, N. Rosen // Phys. Rev. 47 — 1935 — 777. 2. Bell J.S. On the Einstein Podolsky Rosen paradox / Bell J.S. // Physics (Long Island City, N.Y.) 1 — 1964 — 195. 3. Brunner N. Bell nonlocality / N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner // Rev. Mod. Phys. 86 — 2014 — 419. 4. Fine. A Hidden variables, joint probability, and the Bell inequalities / A. Fine // Phys. Rev. Lett 48 — 1982 — 291. 5. Abramsky S. The sheaf-theoretic structure of non-locality and contextuality / S. Abramsky, A. Brandenburger // New J. Phys. 13 — 2011 — 113036. 6. Farkas G. Theorie der Einfachen Ungleichungen / G. Farkas // Journal für die Reine und Angewandte Mathematik 124 — 1902 — с. 1-27.1. Einstein A. Can quantum-mechanical description of physical reality be considered complete? / A. Einstein, B. Podolsky, N. Rosen // Phys. Rev. 47 — 1935 — 777. 2. Bell J.S. On the Einstein Podolsky Rosen paradox / Bell J.S. // Physics (Long Island City, N.Y.) 1 — 1964 — 195. 3. Brunner N. Bell nonlocality / N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner // Rev. Mod. Phys. 86 — 2014 — 419. 4. Fine. A Hidden variables, joint probability, and the Bell inequalities / A. Fine // Phys. Rev. Lett 48 — 1982 — 291. 5. Abramsky S. The sheaf-theoretic structure of non-locality and contextuality / S. Abramsky, A. Brandenburger // New J. Phys. 13 — 2011 — 113036. 6. Farkas G. Theorie der Einfachen Ungleichungen / G. Farkas // Journal für die Reine und Angewandte Mathematik 124 — 1902 — с. 1-27.

Feb 26, 20210 citations

Wigner’s Variant of Bell’s Inequality

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Wigner’s Variant of Bell’s Inequality

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