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.
|Number of pages||21|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 8 Oct 2014|
Bibliographical noteDate of Acceptance: 25/04/2014
- closed sets of correlations
- quantum nonlocality
- quantum distillation