Existential Contextuality and the Models of Meyer, Kent and Clifton

Abstract

It is shown that the models recently proposed by Meyer, Kent and Clifton (MKC) exhibit a novel kind of contextuality, which we term existential contextuality. In this phenomenon it is not simply the pre-existing value but the actual existence of an observable which is context dependent. This result confirms the point made elsewhere, that the MKC models do not, as the authors claim, ``nullify'' the Kochen-Specker theorem. It may also be of some independent interest.

Revtex, 7 pages, 1 figure. Replaced with published version

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Cited by in corpus (18)

• Contextuality for preparations, transformations, and unsharp measurements
• Experimentally testable state-independent quantum contextuality
• Quantum states and generalized observables: a simple proof of Gleason's theorem
• Kochen-Specker Contextuality
• Compatibility and noncontextuality for sequential measurements
• Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements
• Finite-precision measurement does not nullify the Kochen-Specker theorem
• Greenberger-Horne-Zeilinger-like proof of Bell's theorem involving observers who do not share a reference frame
• Quantum contextuality in the Mermin-Peres square: A hidden variable perspective
• The Problem of Contextuality and the Impossibility of Experimental Metaphysics Thereof
• A variant of Peres-Mermin proof for testing noncontextual realist models
• Contextuality within quantum mechanics manifested in subensemble mean values
• Quantum Mechanics: From Realism to Intuitionism
• From the problem of Future Contingents to Peres-Mermin square experiments: An introductory review to Contextuality
• Noncontextuality, Finite Precision Measurement and the Kochen-Specker Theorem
• Quantum Interval-Valued Probability: Contextuality and the Born Rule
• Contextuality, Witness of Quantum Weirdness
• Generalizations of Kochen and Specker's Theorem and the Effectiveness of Gleason's Theorem