- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
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(pdf, 680.6kb)
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- Publisher copy:
- 10.1088/1367-2630/13/11/113036
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- Funding agency for:
- Abramsky, S
- 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:
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1367-2630
- ISSN:
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1367-2630
- URN:
-
uuid:6b6946ba-203e-4cac-bf25-22b5e4302ad0
- Source identifiers:
-
307096
- Local pid:
- pubs:307096
- Copyright holder:
- IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
- Copyright date:
- 2011
- Notes:
- Copyright IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Authors, their institutions and third parties all have the same rights to reuse articles published in New Journal of Physics in accordance with the Creative Commons Attribution 3.0 Unported (CC-BY) license. This allows the articles to be shared, adapted and made commercial use of subject to appropriate attribution.
Journal article
The Sheaf-Theoretic Structure Of Non-Locality and Contextuality
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+ Engineering and Physical Sciences Research Council
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Stern School of Business
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CUNY Graduate Center
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