abstract

• The no-signaling approach to nonlocality deals with separable and inseparable multiparty correlations in the same set of probability states without conflicting causality. The set of half-spaces describing the polytope of no-signaling probability states that are admitted by the most general class of Bell scenarios is formulated in full detail. An algorithm for determining the skeleton that solves the no-signaling description is developed upon a new strategy that is partially pivoting and partially incremental. The algorithm is formulated rigorously and its implementation is shown to be effective to deal with the highly degenerate no-signaling descriptions. Several applications of the algorithm as a tool for the study of quantum nonlocality are mentioned. Applied to a large set of bipartite Bell scenarios, we found that the corresponding no-signaling polytopes have a striking high degeneracy that grows up exponentially with the size of the Bell scenario. © 2015 AIP Publishing LLC.

authors

• Méndez J.M.
• Urías Hermosillo Jesús

publication date

• 2015-01-01

published in

• Journal of Mathematical Physics  Journal

Digital Object Identifier (DOI)

• 10.1063/1.4914336

start page

end page

volume

• 56

issue

• 3