Closed sets of nonlocal correlations

  title={Closed sets of nonlocal correlations},
  author={Jonathan Allcock and Nicolas Brunner and Noah Linden and Sandu Popescu and Paul Skrzypczyk and Tam{\'a}s V{\'e}rtesi},
  journal={Physical Review A},
We present a fundamental concept - closed sets of correlations - for studying nonlocal 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… 

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