Extremal correlations of the tripartite no-signaling polytope

Abstract

The no-signaling polytope associated to a Bell scenario with three parties, two inputs, and two outputs is found to have 53856 extremal points, belonging to 46 inequivalent classes. We provide a classification of these points according to various definitions of multipartite non-locality and briefly discuss other issues like the interconversion between extremal points seen as a resource and the relation of the extremal points to Bell-type inequalities.

The list of extremal points is available in electronic format at http://homepages.ulb.ac.be/~spironio/tripartite_boxes/

References in corpus (2)

• Non-locality distillation and post-quantum theories with trivial communication complexity
• Feats, Features and Failures of the PR-box

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• Information causality in multipartite scenarios
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