The no-signaling polytope associated with a Bell scenario with three parties, two inputs, and two outputs, is found to have 53 856 extremal points, belonging to 46 inequivalent classes. We provide a classification of these points according to various definitions of multipartite nonlocality and briefly discuss other issues such as the interconversion between extremal points seen as a resource and the relation of the extremal points to Bell-type inequalities.
Journal of Physics A Mathematical General
- Pub Date:
- February 2011
- Quantum Physics
- The list of extremal points is available in electronic format at http://homepages.ulb.ac.be/~spironio/tripartite_boxes/