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The Sheaf-Theoretic Structure Of Non-Locality and Contextuality

Abstract:

We use the mathematical language of sheaf theory to give a unified treatment of non-locality and contextuality, in a setting which generalizes the familiar probability tables used in non-locality theory to arbitrary measurement covers; this includes Kochen-Specker configurations and more. We show that contextuality, and non-locality as a special case, correspond exactly to obstructions to the existence of global sections. We describe a linear algebraic approach to computing these obstructions...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1088/1367-2630/13/11/113036

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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
Brandenburger, A More by this author
Stern School of Business More from this funder
CUNY Graduate Center More from this funder
Publisher:
IOP Publishing Publisher's website
Journal:
New Journal of Physics Journal website
Volume:
13
Issue:
11
Pages:
Article: 113036
Publication date:
2011-02-05
DOI:
EISSN:
1367-2630
ISSN:
1367-2630
URN:
uuid:6b6946ba-203e-4cac-bf25-22b5e4302ad0
Source identifiers:
307096
Local pid:
pubs:307096
Language:
English
Keywords:

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