论文标题

通过多变量相关性,双方非本地性超越贝尔的不平等现象

Bipartite non-locality beyond Bell inequalities by means of multivariable correlations

论文作者

Leggio, Bruno, Bellomo, Bruno, Azaïs, Romain, Prusinkiewicz, Przemysław, Godin, Christophe

论文摘要

我们提供了一组必要的条件,以解决两部分系统中的地方,其中包括并概括了已知的贝尔的不平等现象。每个条件都对应于图表上定义的随机变量扩展的特定顺序,该变量是根据真正的N-变量相关函数的。第一个非平凡的秩序导致已知的贝尔不等式,而较高的订单会产生额外的非等效条件。特别是,在CHSH设置中,我们至少获得了两个额外的紧缩条件,这些条件不会减少CHSH不平等。这表明紧密的铃铛不平等是足够的,但不是双方量子相关性非本地性的必要条件。

We give a set of necessary conditions for locality in bipartite systems, which include and generalize known Bell's inequalities. Each condition corresponds to a specific order of the expansion of random variables defined on graphs, in terms of genuinely n-variable correlation functions. The first non-trivial order leads to known Bell inequalities, while higher orders produce additional, non-equivalent conditions. In particular, in CHSH settings, we obtain at least two additional tight conditions which do not reduce to the CHSH inequality. This shows that tight Bell inequalities are sufficient but not necessary conditions for the non-locality of bipartite quantum correlations.

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