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
References in corpus (10)
- Bell-Kochen-Specker theorem: A proof with 18 vectors
- Kochen-Specker Contextuality
- Kochen-Specker Vectors
- Simple Hardy-like proof of quantum contextuality
- Converting contextuality into nonlocality
- Minimal true-implies-false and true-implies-true sets of propositions in noncontextual hidden variable theories
- New Kochen-Specker Sets in Four Dimensions
- Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces
- Extensions of Hardy-type true-implies-false gadgets to classically obtain indistinguishability
- Kochen-Specker Algorithms for Qunits