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arXiv · 0908.1496

Closed sets of non-local correlations

Jonathan Allcock·Nicolas Brunner·Noah Linden·Sandu Popescu·Paul Skrzypczyk·Tamas Vertesi
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Abstract

We introduce a fundamental concept -- closed sets of correlations -- for studying non-local correlations. We argue that sets of correlations corresponding to information-theoretic principles, or more generally to consistent physical theories, must be closed under a natural set of operations. Hence, studying the closure of sets of correlations gives insight into which information-theoretic principles are genuinely different, and which are ultimately equivalent. This concept also has implications for understanding why quantum non-locality is limited, and for finding constraints on physical theories beyond quantum mechanics.

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Jonathan Allcock, Nicolas Brunner, Noah Linden, Sandu Popescu, Paul Skrzypczyk, Tamas Vertesi. 2009-10-15. Closed sets of non-local correlations. https://doi.org/10.1103/physreva.80.062107

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