English

Closed sets of non-local correlations

Quantum Physics 2009-12-12 v2

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.

Keywords

Cite

@article{arxiv.0908.1496,
  title  = {Closed sets of non-local correlations},
  author = {Jonathan Allcock and Nicolas Brunner and Noah Linden and Sandu Popescu and Paul Skrzypczyk and Tamas Vertesi},
  journal= {arXiv preprint arXiv:0908.1496},
  year   = {2009}
}

Comments

4+2 pages, new introduction and discussion

R2 v1 2026-06-21T13:34:22.815Z