Probabilistic models on contextuality scenarios
We introduce a framework to describe probabilistic models in Bell experiments, and more generally in contextuality scenarios. Such a scenario is a hypergraph whose vertices represent elementary events and hyperedges correspond to measurements. A probabilistic model on such a scenario associates to e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2014-12-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1307.0145v3 |
| _version_ | 1818241482995269632 |
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| author | Tobias Fritz Anthony Leverrier Ana Belén Sainz |
| author_facet | Tobias Fritz Anthony Leverrier Ana Belén Sainz |
| author_sort | Tobias Fritz |
| collection | DOAJ |
| description | We introduce a framework to describe probabilistic models in Bell experiments, and more generally in contextuality scenarios. Such a scenario is a hypergraph whose vertices represent elementary events and hyperedges correspond to measurements. A probabilistic model on such a scenario associates to each event a probability, in such a way that events in a given measurement have a total probability equal to one. We discuss the advantages of this framework, like the unification of the notions of contexuality and nonlocality, and give a short overview of results obtained elsewhere. |
| first_indexed | 2024-12-12T13:30:03Z |
| format | Article |
| id | doaj.art-c8cf904656904c2084dc928680aea158 |
| institution | Directory Open Access Journal |
| issn | 2075-2180 |
| language | English |
| last_indexed | 2024-12-12T13:30:03Z |
| publishDate | 2014-12-01 |
| publisher | Open Publishing Association |
| record_format | Article |
| series | Electronic Proceedings in Theoretical Computer Science |
| spelling | doaj.art-c8cf904656904c2084dc928680aea1582022-12-22T00:23:05ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802014-12-01171Proc. QPL 2013637010.4204/EPTCS.171.6:fritzProbabilistic models on contextuality scenariosTobias Fritz0Anthony Leverrier1Ana Belén Sainz2 Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada INRIA Rocquencourt, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France ICFO–Institut de Ciencies Fotoniques, E-08860 Castelldefels, Barcelona, Spain We introduce a framework to describe probabilistic models in Bell experiments, and more generally in contextuality scenarios. Such a scenario is a hypergraph whose vertices represent elementary events and hyperedges correspond to measurements. A probabilistic model on such a scenario associates to each event a probability, in such a way that events in a given measurement have a total probability equal to one. We discuss the advantages of this framework, like the unification of the notions of contexuality and nonlocality, and give a short overview of results obtained elsewhere.http://arxiv.org/pdf/1307.0145v3 |
| spellingShingle | Tobias Fritz Anthony Leverrier Ana Belén Sainz Probabilistic models on contextuality scenarios Electronic Proceedings in Theoretical Computer Science |
| title | Probabilistic models on contextuality scenarios |
| title_full | Probabilistic models on contextuality scenarios |
| title_fullStr | Probabilistic models on contextuality scenarios |
| title_full_unstemmed | Probabilistic models on contextuality scenarios |
| title_short | Probabilistic models on contextuality scenarios |
| title_sort | probabilistic models on contextuality scenarios |
| url | http://arxiv.org/pdf/1307.0145v3 |
| work_keys_str_mv | AT tobiasfritz probabilisticmodelsoncontextualityscenarios AT anthonyleverrier probabilisticmodelsoncontextualityscenarios AT anabelensainz probabilisticmodelsoncontextualityscenarios |