Possibilities determine the combinatorial structure of probability polytopes

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• 作者：Samson Abramsky^a ; ^{samson.abramsky@cs.ox.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Rui Soares Barbosa^a ; ^{rui.soares.barbosa@cs.ox.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Kohei Kishida^a ; ^{kohei.kishida@cs.ox.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Raymond Lal^b ; ^{rayashlal@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Shane Mansfield^c ; ^{shane.mansfield@univ-paris-diderot.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Contextuality ; No-signalling ; Quantum information ; Polytopes ; Face lattice
• 刊名：Journal of Mathematical Psychology
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：74
• 期：Complete
• 页码：58-65
• 全文大小：490 K

文摘

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.