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Kochen-Specker Contextuality
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Kochen-Specker Contextuality
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A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible measurements are those that can be implemented simultaneously or, more generally, those that are jointly measurable. This conflict is generically called quantum contextuality. In this review, an introduction to this subject and its current status is presented. Several proofs of the Kochen-Specker theorem and different notions of contextuality are reviewed. How to experimentally test some of these notions is explained and connections between contextuality and nonlocality or graph theory are discussed. Finally, some applications of contextuality in quantum information processing are reviewed.
Forward citations
Cited by 3 Pith papers
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Which Classicality? Incidence, Simplex, and Product-Rule Tests in Finite Quantum Logics
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Temporal Kirkwood-Dirac Quasiprobability Distribution and Unification of Temporal State Formalisms through Temporal Bloch Tomography
A generalized Kirkwood–Dirac distribution for multi-time processes unifies pseudo-density operators, doubled density operators, and related temporal state formalisms via temporal Bloch tomography.
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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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