Bounding the set of classical correlations of a many-body system

Abstract

We present a method to certify the presence of Bell correlations in experimentally observed statistics, and to obtain new Bell inequalities. Our approach is based on relaxing the conditions defining the set of correlations obeying a local hidden variable model, yielding a convergent hierarchy of semidefinite programs (SdP's). Because the size of these SdP's is independent of the number of parties involved, this technique allows to characterize correlations in many-body systems. As an example, we illustrate our method with the experimental data presented in [Science 352, 441 (2016)]

5 pages, 2 figures

References in corpus (3)

• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Classifying 50 years of Bell inequalities
• Deriving Tight Bell Inequalities for 2 Parties with Many 2-valued Observables from Facets of Cut Polytopes

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