Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Fermionic hidden variables and Einstein-Podolsky-Rosen correlations

P. Freund

Published Sep 15, 1981• 1 citation
Publisher

Abstract

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

DOI
10.1103/physrevd.24.1526

Related papers

Wigner’s Variant of Bell’s Inequality

Johannes F. Geurdes

It is shown that Wigner’s variant of Bell’s inequality does not exclude all local hidden variable explanations of the Einstein–Podolsky–Rosen problem.

Australian Journal of Physics•Oct 12, 1998•6 citations

Arbitrary initial conditions of nonlocal hidden variables

Edward R. Floyd

A deterministic nonlocal hidden-variable theory with arbitrary initial conditions is consistent with quantum theory. The sufficiency conditions for the hidden variables are developed.Received 2 December 1983DOI:https://doi.org/10.1103/PhysRevD.29.1842©1984 American Physical Society

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Apr 15, 1984•42 citations

Comment on "How to make quantum mechanics look like a hidden-variable theory and vice versa"

Peter W. Milonni

The hidden-variable theory considered by Scully is discussed in the context of photon polarization correlations.Received 17 January 1984DOI:https://doi.org/10.1103/PhysRevD.32.1040©1985 American Physical Society

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Aug 15, 1985•5 citations

Violations of Bell's Inequality in Cooperative States

P. D. Drummond

Cooperative multiparticle quantum states in an Einstein-Podolsky-Rosen type of experiment are shown to violate a Bell inequality. Thus correlations can occur between wave packets each having $N$ bosons which cannot be explained within local hidden-variable theories. This provides a way to test quantum measurement theory for multiparticle states. In these states, a local, positive probability distribution exists for all $N$. However, the representation of correlations with this probability distribution is different from that in standard (Bell-type) hidden-variable theories.

Physical Review Letters•May 9, 1983•83 citations

Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model

Reinhard F. Werner

A state of a composite quantum system is called classically correlated if it can be approximated by convex combinations of product states, and Einstein-Podolsky-Rosen correlated otherwise. Any classically correlated state can be modeled by a hidden-variable theory and hence satisfies all generalized Bell's inequalities. It is shown by an explicit example that the converse of this statement is false.

Physical Review A•Oct 1, 1989•4,049 citations

Learning the Einstein-Podolsky-Rosen correlations on a Restricted Boltzmann Machine

Weinstein, Steven

We construct a hidden variable model for the EPR correlations using a Restricted Boltzmann Machine. The model reproduces the expected correlations and thus violates the Bell inequality, as required by Bell's theorem. Unlike most hidden-variable models, this model does not violate the $locality$ assumption in Bell's argument. Rather, it violates $measurement$ $independence$, albeit in a decidedly non-conspiratorial way.

arXiv:1707.03114•Jul 11, 2017•9 citations
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
Cooperative multiparticle quantum states in an Einstein-Podolsky-Rosen type of experiment are shown to violate a Bell inequality. Thus correlations can occur between wave packets each having NNN bosons which cannot be explained within local hidden-variable theories. This provides a way to test quantum measurement theory for multiparticle states. In these states, a local, positive probability distribution exists for all NNN. However, the representation of correlations with this probability distribution is different from that in standard (Bell-type) hidden-variable theories.
We construct a hidden variable model for the EPR correlations using a Restricted Boltzmann Machine. The model reproduces the expected correlations and thus violates the Bell inequality, as required by Bell's theorem. Unlike most hidden-variable models, this model does not violate the localitylocalitylocality assumption in Bell's argument. Rather, it violates measurementmeasurementmeasurement independenceindependenceindependence, albeit in a decidedly non-conspiratorial way.