Possibilities determine the combinatorial structure of probability polytopes

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...

Полное описание

Библиографические подробности
Главные авторы: Abramsky, S, Mansfield, S, Kishida, K, Lal, R, Barbosa, R
Формат: Journal article
Опубликовано: Elsevier 2016
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author Abramsky, S
Mansfield, S
Kishida, K
Lal, R
Barbosa, R
author_facet Abramsky, S
Mansfield, S
Kishida, K
Lal, R
Barbosa, R
author_sort Abramsky, S
collection OXFORD
description 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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institution University of Oxford
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spelling oxford-uuid:454c583d-15cb-47cb-a90a-1d4685960b902022-03-26T15:06:59ZPossibilities determine the combinatorial structure of probability polytopesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:454c583d-15cb-47cb-a90a-1d4685960b90Symplectic Elements at OxfordElsevier2016Abramsky, SMansfield, SKishida, KLal, RBarbosa, RWe 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.
spellingShingle Abramsky, S
Mansfield, S
Kishida, K
Lal, R
Barbosa, R
Possibilities determine the combinatorial structure of probability polytopes
title Possibilities determine the combinatorial structure of probability polytopes
title_full Possibilities determine the combinatorial structure of probability polytopes
title_fullStr Possibilities determine the combinatorial structure of probability polytopes
title_full_unstemmed Possibilities determine the combinatorial structure of probability polytopes
title_short Possibilities determine the combinatorial structure of probability polytopes
title_sort possibilities determine the combinatorial structure of probability polytopes
work_keys_str_mv AT abramskys possibilitiesdeterminethecombinatorialstructureofprobabilitypolytopes
AT mansfields possibilitiesdeterminethecombinatorialstructureofprobabilitypolytopes
AT kishidak possibilitiesdeterminethecombinatorialstructureofprobabilitypolytopes
AT lalr possibilitiesdeterminethecombinatorialstructureofprobabilitypolytopes
AT barbosar possibilitiesdeterminethecombinatorialstructureofprobabilitypolytopes