论文标题

Peres-Mermin Square的三个非秘密隐藏变量模型

Three noncontextual hidden variable models for the Peres-Mermin square

论文作者

Hofer-Szabó, Gábor

论文摘要

我会认为,如果未给出满足以下两个要求的物理解释,则佩雷斯梅敏广场不一定排除价值定义(确定性)非上下文隐藏变量模型,如果每个操作员都可以通过单个物理测量来实现; (ii)通过同时测量来实现通勤操作员。为了支持这一说法,我将为佩雷斯梅敏广场的三个不同的物理实现构建三个隐藏的变量模型:一个违反(i),另一个违反(ii),第三个违反(i)和(ii)的第三个。

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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