Measurable No-signalling Correlations
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913518295449600 |
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| author | Baziotis, Georgios Todorov, Ivan G. Turowska, Lyudmila |
| author_facet | Baziotis, Georgios Todorov, Ivan G. Turowska, Lyudmila |
| contents | We study no-signalling correlations, defined over a quadruple of second countable compact Hausdorff spaces. Using operator-valued information channels over abstract alphabets, we define the subclasses of local, quantum spatial and quantum commuting measurable no-signalling correlations. En route, we establish measurable versions of the Stinespring's Dilation Theorem. We define values of measurable non-local games of local, quantum spatial and quantum commuting type, as well as inner versions thereof, and show how the asymptotic values of a finite non-local game can be viewed as special cases of the corresponding inner values of a measurable game, canonically associated with the given finite game. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17206 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measurable No-signalling Correlations Baziotis, Georgios Todorov, Ivan G. Turowska, Lyudmila Quantum Physics Operator Algebras We study no-signalling correlations, defined over a quadruple of second countable compact Hausdorff spaces. Using operator-valued information channels over abstract alphabets, we define the subclasses of local, quantum spatial and quantum commuting measurable no-signalling correlations. En route, we establish measurable versions of the Stinespring's Dilation Theorem. We define values of measurable non-local games of local, quantum spatial and quantum commuting type, as well as inner versions thereof, and show how the asymptotic values of a finite non-local game can be viewed as special cases of the corresponding inner values of a measurable game, canonically associated with the given finite game. |
| title | Measurable No-signalling Correlations |
| topic | Quantum Physics Operator Algebras |
| url | https://arxiv.org/abs/2409.17206 |