Tight Bell inequality for d-outcome measurements correlations

Lluis Masanes

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Tight Bell inequality for d-outcome measurements correlations

Lluis Masanes

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Abstract

In this paper we prove that the inequality introduced by Collins, Gisin, Linden, Massar and Popescu is tight, or in other words, it is a facet of the convex polytope generated by all local-realistic joint probabilities of d outcomes. This means that this inequality is optimal. We also show that, for correlation functions generalized to deal with three-outcome measurements, the satisfyability of this inequality is a necessary and sufficient condition for the existence of a local-realistic model accounting for them.

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Lluis Masanes. 2002-10-10. Tight Bell inequality for d-outcome measurements correlations. https://arxiv.org/abs/quant-ph/0210073

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