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.
Year
DOI
Venue
2016
10.1016/j.jmp.2016.03.006
Journal of Mathematical Psychology
Keywords
Field
DocType
Contextuality,No-signalling,Quantum information,Polytopes,Face lattice
Empirical modelling,Linear equation,Discrete mathematics,Polytope,Polytope model,Mathematics,Special case
Journal
Volume
ISSN
Citations 
74
0022-2496
1
PageRank 
References 
Authors
0.36
3
5
Name
Order
Citations
PageRank
Samson Abramsky13169348.51
Rui Soares Barbosa2234.75
Kohei Kishida361.03
Raymond Lal461.03
Shane Mansfield5213.02