Optimal non-signalling violations via tensor norms (1904.02071v1)

Published 3 Apr 2019 in math-ph, math.MP, and quant-ph

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.

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