Extremal correlations of the tripartite no-signaling polytope
arXiv:1101.2477 · doi:10.1088/1751-8113/44/6/065303
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/