Possibilities Determine the Combinatorial Structure of Probability Polytopes

Samson Abramsky; Rui Soares Barbosa; Kohei Kishida; Raymond Lal; Shane Mansfield

doi:10.1016/j.jmp.2016.03.006

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arXiv · 1603.07735

Possibilities Determine the Combinatorial Structure of Probability Polytopes

Samson Abramsky·Rui Soares Barbosa·Kohei Kishida·Raymond Lal·Shane Mansfield

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Abstract

We study the set of no-signalling empirical models on a measurement scenario, and show that the combinatorial structure of the no-signalling polytope is completely determined by the possibilistic information given by the support of the models. This is a special case of a general result which applies to all polytopes presented in a standard form, given by linear equations together with non-negativity constraints on the variables.

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Samson Abramsky, Rui Soares Barbosa, Kohei Kishida, Raymond Lal, Shane Mansfield. 2016-03-24. Possibilities Determine the Combinatorial Structure of Probability Polytopes. https://doi.org/10.1016/j.jmp.2016.03.006

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