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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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jmp.2016.03.006

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


More from this funder
Funding agency for:
Barbosa, R
Grant:
James Martin Program on Bio-inspired Quantum Technologies
More from this funder
Funding agency for:
Barbosa, R
Grant:
James Martin Program on Bio-inspired Quantum Technologies
More from this funder
Funding agency for:
Mansfield, S
Grant:
James Martin Program on Bio-inspired Quantum Technologies
More from this funder
Funding agency for:
Abramsky, S
Mansfield, S
Barbosa, R
Grant:
James Martin Program on Bio-inspired Quantum Technologies
James Martin Program on Bio-inspired Quantum Technologies
James Martin Program on Bio-inspired Quantum Technologies
More from this funder
Funding agency for:
Abramsky, S
Kishida, K
Grant:
James Martin Program on Bio-inspired Quantum Technologies
Game-SemanticMethodsforUnderst
FA9550-12-1-0136,Topological
ingCyber-Security


Publisher:
Elsevier
Journal:
Journal of Mathematical Psychology More from this journal
Volume:
74
Pages:
58-65
Publication date:
2016-05-17
Acceptance date:
2016-03-24
DOI:
ISSN:
0022-2496


Pubs id:
pubs:611596
UUID:
uuid:454c583d-15cb-47cb-a90a-1d4685960b90
Local pid:
pubs:611596
Source identifiers:
611596
Deposit date:
2016-03-24

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