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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