@article{9d34e2d3d6404446a307d7d28cead922,
title = "Possibilities determine the combinatorial structure of probability polytopes",
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.",
keywords = "Contextuality, Face lattice, No-signalling, Polytopes, Quantum information",
author = "Samson Abramsky and Barbosa, {Rui Soares} and Kohei Kishida and Raymond Lal and Shane Mansfield",
note = "Funding Information: Support from the following is gratefully acknowledged: EPSRC EP/K015478/1 , Quantum Mathematics and Computation (SA); la Fondation Sciences Math{\'e}matiques de Paris , postdoctoral research grant eotpFIELD15RPOMT-FSMP1 , Contextual Semantics for Quantum Theory (SM); FCT—Funda{\c c}{\~a}o para a Ci{\^e}ncia e Tecnologia (Portuguese Foundation for Science and Technology) , PhD grant SFRH/BD/94945/2013 (RSB); John Templeton Foundation, Categorical Unification (RSB); US AFOSR FA9550-12-1-0136 , Topological and Game-Semantic Methods for Understanding Cyber-Security (SA, KK); the Oxford Martin School James Martin Program on Bio-inspired Quantum Technologies, (SA, SM, RSB); and Templeton World Charity Foundation (RL). Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",
year = "2016",
month = oct,
day = "1",
doi = "10.1016/j.jmp.2016.03.006",
language = "English (US)",
volume = "74",
pages = "58--65",
journal = "Journal of Mathematical Psychology",
issn = "0022-2496",
publisher = "Academic Press Inc.",
}