缺乏三阶干涉的量子语境的边界
Bounding quantum contextuality with lack of third-order intereference
摘要：
最近提出了许多简单的原则，可以解释在非定域性和上下文实验中可能的实验概率集的量子限制。然而，这些原则之间的影响是已知的。这里它表明，缺乏不可约的三阶干扰，（一旦我们考虑了$n$ -sit实验中狭缝对之间的干涉，就没有概率干涉是不可解释的这一思想的概括）意味着被称为E原理或一致排他性的原理（即，如果一组实验结果中的每一对在某种度量上都是唯一的选择，则它们的概率与存在其中它们都是排他性的进一步测量一致）。这是迈向量子非定域性和上下文性的更统一理解的一步，这有望从最小的、容易掌握的假设中推导出重要的结果。作为一个示例，该结果意味着缺少三阶干扰将CHSH-贝尔不等式的违背限制为2.883。
英文摘要：
Recently many simple principles have been proposed that can explain quantum limitations on possible sets of experimental probabilities in nonlocality and contextuality experiments. However, few implications between these principles are known. Here it is shown that lack of irreducible third-order interference (a generalisation of the idea that no probabilistic interference remains unaccounted for once we have taken into account interference between pairs of slits in a $n$-sit experiment) implies the principle known as the E principle or Consistent Exclusivity (that, if each pair of a set of experimental outcomes are exclusive alternatives in some measurement, then their probabilities are consistent with the existence of a further measurement in which they are all exclusive). This is a step towards a more unified understanding of quantum nonlocality and contextuality, which promises to allow derivations of important results from minimal, easily grasped assumptions. As one example, this result implies that lack of third order interference bounds violation of the CHSH-Bell inequality to 2.883.
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