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Converting nonlocality into contextuality
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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.
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Cited by 3 Pith papers
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Which Classicality? Incidence, Simplex, and Product-Rule Tests in Finite Quantum Logics
Classicality of finite quantum logics is bookkeeping-dependent: incidence, simplex-embedding, and product-rule tests diagnose different retained structures, with GHZ classical as one Boolean context and fragment-speci...
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Construction of Kochen-Specker Sets from Mutually Unbiased Bases
A systematic MUB-based enumeration yields a 69-ray 50-context KS nucleus unifying known constructions, plus forcing gadgets in D=4 and D=5 that enforce maximal unbiasedness.
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Chromatic Quantum Contextuality
A 3D quantum configuration (Yu-Oh) is shown to need four colors in any consistent coloring even though every measurement context has three outcomes, giving a chromatic analogue of Kochen-Specker contextuality.
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