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arXiv · 2404.15793

Converting nonlocality into contextuality

Karl Svozil
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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.

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Karl Svozil. 2024-04-24. Converting nonlocality into contextuality. https://doi.org/10.1103/physreva.110.012215

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