Closed sets of correlations: answers from the zoo

Ben Lang, Tamas Vertesi, Miguel Navascues

Research output: Contribution to journalArticle (Academic Journal)peer-review

22 Citations (Scopus)
250 Downloads (Pure)


We investigate the conditions under which a set of multipartite nonlocal correlations can describe the distributions achievable by distant parties conducting experiments in a consistent universe. Several questions are posed, such as: are all such sets 'nested', i.e., contained into one another? Are they discrete or do they form a continuum? How many of them are supraquantum? Are there non-trivial polytopes among them? We answer some of these questions or relate them to established conjectures in complexity theory by introducing a 'zoo' of physically consistent sets, which can be characterized efficiently via either linear or semidefinite programming. As a bonus, we use the zoo to derive, for the first time, concrete impossibility results in nonlocality distillation.
Original languageEnglish
Article number424029
Number of pages21
JournalJournal of Physics A: Mathematical and Theoretical
Issue number42
Publication statusPublished - 8 Oct 2014

Bibliographical note

Date of Acceptance: 25/04/2014


  • closed sets of correlations
  • quantum nonlocality
  • quantum distillation


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