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arXiv · 2011.06508

Three noncontextual hidden variable models for the Peres-Mermin square

Gábor Hofer-Szabó
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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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Gábor Hofer-Szabó. 2020-11-12. Three noncontextual hidden variable models for the Peres-Mermin square. https://arxiv.org/abs/2011.06508

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