Converting nonlocality into contextuality
arXiv:2404.15793 · doi:10.1103/PhysRevA.110.012215
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.
6 pages, 1 figure, 2 tables, revised