Converting nonlocality into contextuality
Quantum Physics
2024-08-21 v3
Abstract
Matrix pencils provide a robust method for finding simultaneous eigensystems of mutually commuting degenerate operators. In this paper, we utilize these techniques to investigate the quantum logical structures of the Peres-Mermin square and the Greenberger-Horne-Zeilinger-Mermin configuration. Our analysis uncovers analogous complete contradictions between classical and quantum predictions in a four-dimensional system involving two spin-1/2 particles.
Cite
@article{arxiv.2404.15793,
title = {Converting nonlocality into contextuality},
author = {Karl Svozil},
journal= {arXiv preprint arXiv:2404.15793},
year = {2024}
}
Comments
6 pages, 1 figure, 2 tables, revised