Non-Contextual and Local Hidden-Variable Model for the Peres-Mermin and Greenberger-Horne-Zeilinger Systems
Quantum Physics
2022-07-01 v2 History and Philosophy of Physics
Abstract
A hidden-variable model for quantum-mechanical spin, as represented by the Pauli spin operators, is proposed for systems illustrating the well-known no-hidden-variables arguments by Peres and Mermin (1990) and by Greenberger, Horne, and Zeilinger (1989). Both arguments rely on an assumption of non-contextuality; the latter argument can also be phrased as a non-locality argument, using a locality assumption. The model suggested here is compatible with both assumptions. This is possible because the scalar values of spin observables are replaced by vectors that are components of orientations.
Keywords
Cite
@article{arxiv.1907.13073,
title = {Non-Contextual and Local Hidden-Variable Model for the Peres-Mermin and Greenberger-Horne-Zeilinger Systems},
author = {Carsten Held},
journal= {arXiv preprint arXiv:1907.13073},
year = {2022}
}