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Non-closure of the set of quantum correlations via graphs

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arxiv 1709.05032 v3 pith:JQNC5H32 submitted 2017-09-15 math.OA quant-ph

classification math.OAquant-ph
keywords correlationsquantumbipartiteclosedcomputingconceptcorrelationfunctions
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We prove that the set of quantum correlations for a bipartite system of 5 inputs and 2 outputs is not closed. Our proof relies on computing the correlation functions of a graph, which is a concept that we introduce.

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  1. All tight correlation Bell inequalities have quantum violations

    quant-ph 2019-08 accept novelty 8.0 of 10

    Every nontrivial tight correlation Bell inequality for bipartite binary-outcome systems is violated by some quantum strategy.

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