Three noncontextual hidden variable models for the Peres-Mermin square

European Journal for Philosophy of Science 11 (1):1-12 (2021)
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Abstract

I will argue that the Peres-Mermin square does not necessarily rule out a value-definite (deterministic) noncontextual hidden variable model if the operators are not given a physical interpretation satisfying the following two requirements: (i) each operator is uniquely realized by a single physical measurement; (ii) commuting operators are realized by simultaneous measurements. To underpin this claim, I will construct three hidden variable models for three different physical realizations of the Peres-Mermin square: one violating (i), another violating (ii), and a third one violating both (i) and (ii).

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Citations of this work

Two concepts of noncontextuality in quantum mechanics.Gábor Hofer-Szabó - 2022 - Studies in History and Philosophy of Science Part A 93 (C):21-29.
Sequential Measurements and the Kochen–Specker Arguments.Gábor Hofer-Szabó - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (1):29-42.

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References found in this work

La Nouvelle Cuisine.J. S. Bell - 1987 - In John Stewart Bell (ed.), Speakable and unspeakable in quantum mechanics: collected papers on quantum philosophy. New York: Cambridge University Press. pp. 232--248.
Hidden Variables and the Two Theorems of John Bell.N. David Mermin - 1993 - Reviews of Modern Physics 65:803--815.
Two concepts of noncontextuality in quantum mechanics.Gábor Hofer-Szabó - 2022 - Studies in History and Philosophy of Science Part A 93 (C):21-29.

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