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Optimal non-signalling violations via tensor norms

Mathematical Physics 2019-04-04 v1 math.MP Quantum Physics

Abstract

In this paper we characterize the set of bipartite non-signalling probability distributions in terms of tensor norms. Using this characterization we give optimal upper and lower bounds on Bell inequality violations when non-signalling distributions are considered. Interestingly, our upper bounds show that non-signalling Bell inequality violations cannot be significantly larger than quantum Bell inequality violations.

Keywords

Cite

@article{arxiv.1904.02071,
  title  = {Optimal non-signalling violations via tensor norms},
  author = {Abderraman Amr and Carlos Palazuelos and Ignacio Villanueva},
  journal= {arXiv preprint arXiv:1904.02071},
  year   = {2019}
}
R2 v1 2026-06-23T08:28:18.460Z