Beyond Bell's theorem: correlation scenarios
Bell's theorem witnesses that the predictions of quantum theory cannot be reproduced by theories of local hidden variables in which observers can choose their measurements independently of the source. Working out an idea of Branciard, Rosset, Gisin and Pironio, we consider scenarios which featu...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/10/103001 |
| _version_ | 1797751701485125632 |
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| author | Tobias Fritz |
| author_facet | Tobias Fritz |
| author_sort | Tobias Fritz |
| collection | DOAJ |
| description | Bell's theorem witnesses that the predictions of quantum theory cannot be reproduced by theories of local hidden variables in which observers can choose their measurements independently of the source. Working out an idea of Branciard, Rosset, Gisin and Pironio, we consider scenarios which feature several sources, but no choice of measurement for the observers. Every Bell scenario can be mapped into such a correlation scenario , and Bell's theorem then discards those local hidden variable theories in which the sources are independent. However, most correlation scenarios do not arise from Bell scenarios, and we describe examples of (quantum) non-locality in some of these scenarios, while posing many open problems along the way. Some of our scenarios have been considered before by mathematicians in the context of causal inference. |
| first_indexed | 2024-03-12T16:52:24Z |
| format | Article |
| id | doaj.art-343da2c9767d4681a22261b5128a766a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:52:24Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-343da2c9767d4681a22261b5128a766a2023-08-08T11:06:25ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141010300110.1088/1367-2630/14/10/103001Beyond Bell's theorem: correlation scenariosTobias Fritz0ICFO—Institut de Ciencies Fotoniques , Mediterranean Technology Park, 08860 Castelldefels (Barcelona), SpainBell's theorem witnesses that the predictions of quantum theory cannot be reproduced by theories of local hidden variables in which observers can choose their measurements independently of the source. Working out an idea of Branciard, Rosset, Gisin and Pironio, we consider scenarios which feature several sources, but no choice of measurement for the observers. Every Bell scenario can be mapped into such a correlation scenario , and Bell's theorem then discards those local hidden variable theories in which the sources are independent. However, most correlation scenarios do not arise from Bell scenarios, and we describe examples of (quantum) non-locality in some of these scenarios, while posing many open problems along the way. Some of our scenarios have been considered before by mathematicians in the context of causal inference.https://doi.org/10.1088/1367-2630/14/10/103001 |
| spellingShingle | Tobias Fritz Beyond Bell's theorem: correlation scenarios New Journal of Physics |
| title | Beyond Bell's theorem: correlation scenarios |
| title_full | Beyond Bell's theorem: correlation scenarios |
| title_fullStr | Beyond Bell's theorem: correlation scenarios |
| title_full_unstemmed | Beyond Bell's theorem: correlation scenarios |
| title_short | Beyond Bell's theorem: correlation scenarios |
| title_sort | beyond bell s theorem correlation scenarios |
| url | https://doi.org/10.1088/1367-2630/14/10/103001 |
| work_keys_str_mv | AT tobiasfritz beyondbellstheoremcorrelationscenarios |