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

• URL: http://arxiv.org/abs/2004.12968v2
• Date: Mon, 25 May 2020 10:52:38 GMT
• Title: Bipartite non-locality beyond Bell inequalities by means of multivariable correlations
• Authors: Bruno Leggio, Bruno Bellomo, Romain Aza\"is, Przemys{\l}aw Prusinkiewicz, Christophe Godin
• Abstract summary: We give necessary conditions for locality in bipartite systems, which include and generalize known Bell's inequalities. The first non-trivial order leads to known Bell inequalities, while higher orders produce additional, non-equivalent conditions. This shows that tight Bell inequalities are sufficient but not necessary conditions for the non-locality of bipartite quantum correlations.
• Score: 1.3999481573773074
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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