基于多变量关联超越贝尔不等式的二分非定域性
量子物理
2020-05-26 v2
摘要
我们给出二分系统中定域性的一组必要条件，其包含并推广了已知的贝尔不等式。每一条件对应于图上定义的随机变量的展开的特定阶，以真正的 n-变量关联函数表示。第一个非平凡阶给出已知的贝尔不等式，而更高阶产生额外的、不等价的条件。特别地，在 CHSH 设定下，我们得到至少两个额外的紧条件，它们不归约为 CHSH 不等式。这表明紧贝尔不等式是二分量子关联非定域性的充分但非必要条件。
引用
@article{arxiv.2004.12968,
title = {Bipartite non-locality beyond Bell inequalities by means of multivariable correlations},
author = {Bruno Leggio and Bruno Bellomo and Romain Azaïs and Przemysław Prusinkiewicz and Christophe Godin},
journal= {arXiv preprint arXiv:2004.12968},
year = {2020}
}
备注
We withdraw the version v1 of this manuscript. Due to a flaw in our interpretation of part of the work of which we have been made aware, our claim that inequalities of order > 2 are needed to detect non-locality in CHSH settings is no longer substantiated by results. The rest of the work, notably the method to obtain Bell inequalities from equalities of path variables, still stands