Generalizations of Boxworld
Boxworld is a toy theory that can generate extremal nonlocal correlations known as PR boxes. These have been well established as an important tool to examine general nonlocal correlations, even beyond the correlations that are possible in quantum theory. We modify boxworld to include new features. T...
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| Format: | Article |
| Language: | English |
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Open Publishing Association
2012-10-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1210.0618v1 |
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Article |
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doaj-65748417c6a34648a51b26ddacb186592020-11-25T00:17:01ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802012-10-0195Proc. QPL 201118319210.4204/EPTCS.95.13Generalizations of BoxworldPeter JanottaBoxworld is a toy theory that can generate extremal nonlocal correlations known as PR boxes. These have been well established as an important tool to examine general nonlocal correlations, even beyond the correlations that are possible in quantum theory. We modify boxworld to include new features. The first modification affects the construction of joint systems such that the new theory allows entangled measurements as well as entangled states in contrast to the standard version of boxworld. The extension to multipartite systems and the consequences for entanglement swapping are analysed. Another modification provides continuous transitions between classical probability theory and boxworld, including the algebraic expression for the maximal CHSH violation as a function of the transition parameters. http://arxiv.org/pdf/1210.0618v1 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Peter Janotta |
| spellingShingle |
Peter Janotta Generalizations of Boxworld Electronic Proceedings in Theoretical Computer Science |
| author_facet |
Peter Janotta |
| author_sort |
Peter Janotta |
| title |
Generalizations of Boxworld |
| title_short |
Generalizations of Boxworld |
| title_full |
Generalizations of Boxworld |
| title_fullStr |
Generalizations of Boxworld |
| title_full_unstemmed |
Generalizations of Boxworld |
| title_sort |
generalizations of boxworld |
| publisher |
Open Publishing Association |
| series |
Electronic Proceedings in Theoretical Computer Science |
| issn |
2075-2180 |
| publishDate |
2012-10-01 |
| description |
Boxworld is a toy theory that can generate extremal nonlocal correlations known as PR boxes. These have been well established as an important tool to examine general nonlocal correlations, even beyond the correlations that are possible in quantum theory. We modify boxworld to include new features. The first modification affects the construction of joint systems such that the new theory allows entangled measurements as well as entangled states in contrast to the standard version of boxworld. The extension to multipartite systems and the consequences for entanglement swapping are analysed. Another modification provides continuous transitions between classical probability theory and boxworld, including the algebraic expression for the maximal CHSH violation as a function of the transition parameters. |
| url |
http://arxiv.org/pdf/1210.0618v1 |
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