Mazzari André, Ruffolo Gabriel, Vieira Carlos, Temistocles Tassius, Rabelo Rafael, Terra Cunha Marcelo
Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas (Unicamp), Campinas 130830-859, Brazil.
Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas (Unicamp), Campinas 130830-859, Brazil.
Entropy (Basel). 2023 Aug 30;25(9):1276. doi: 10.3390/e25091276.
Bell nonlocality and Kochen-Specker contextuality are among the main topics in the foundations of quantum theory. Both of them are related to stronger-than-classical correlations, with the former usually referring to spatially separated systems, while the latter considers a single system. In recent works, a unified framework for these phenomena was presented. This article reviews, expands, and obtains new results regarding this framework. Contextual and disturbing features inside the local models are explored, which allows for the definition of different local sets with a non-trivial relation among them. The relations between the set of quantum correlations and these local sets are also considered, and post-quantum local behaviours are found. Moreover, examples of correlations that are both local and non-contextual but such that these two classical features cannot be expressed by the same hidden variable model are shown. Extensions of the Fine-Abramsky-Brandenburger theorem are also discussed.
贝尔非定域性和科亨-施佩克尔语境性是量子理论基础中的主要议题。它们都与比经典关联更强的关联有关，前者通常涉及空间上分离的系统，而后者考虑单个系统。在最近的研究中，提出了一个针对这些现象的统一框架。本文回顾、扩展并得到了关于该框架的新结果。探索了局部模型内部的语境和干扰特征，这使得能够定义不同的局部集合，它们之间存在非平凡的关系。还考虑了量子关联集与这些局部集合之间的关系，并发现了后量子局部行为。此外，展示了既是局部又是非语境的关联示例，但这两个经典特征不能由同一个隐变量模型来表达。还讨论了法因-阿布拉姆斯基-勃兰登堡定理的扩展。
