Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum
To answer Wheeler’s question “Why the quantum?” via quantum information theory according to Bub, one must explain both why the world is quantum rather than classical and why the world is quantum rather than superquantum, i.e., “Why the Tsirelson bound?R...
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| Format: | Article |
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MDPI AG
2019-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/7/692 |
| _version_ | 1828150011177730048 |
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| author | William Stuckey Michael Silberstein Timothy McDevitt Ian Kohler |
| author_facet | William Stuckey Michael Silberstein Timothy McDevitt Ian Kohler |
| author_sort | William Stuckey |
| collection | DOAJ |
| description | To answer Wheeler’s question “Why the quantum?” via quantum information theory according to Bub, one must explain both why the world is quantum rather than classical and why the world is quantum rather than superquantum, i.e., “Why the Tsirelson bound?” We show that the quantum correlations and quantum states corresponding to the Bell basis states, which uniquely produce the Tsirelson bound for the Clauser−Horne−Shimony−Holt (CHSH) quantity, can be derived from conservation per no preferred reference frame (NPRF). A reference frame in this context is defined by a measurement configuration, just as with the light postulate of special relativity. We therefore argue that the Tsirelson bound is ultimately based on NPRF just as the postulates of special relativity. This constraint-based/principle answer to Bub’s question addresses Fuchs’ desideratum that we “take the structure of quantum theory and change it from this very overt mathematical speak ... into something like [special relativity].” Thus, the answer to Bub’s question per Fuchs’ desideratum is, “the Tsirelson bound obtains due to conservation per NPRF”. |
| first_indexed | 2024-04-11T21:38:21Z |
| format | Article |
| id | doaj.art-35bb6deb265242bc95bb46ea5e44ff36 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T21:38:21Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
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| series | Entropy |
| spelling | doaj.art-35bb6deb265242bc95bb46ea5e44ff362022-12-22T04:01:41ZengMDPI AGEntropy1099-43002019-07-0121769210.3390/e21070692e21070692Why the Tsirelson Bound? Bub’s Question and Fuchs’ DesideratumWilliam Stuckey0Michael Silberstein1Timothy McDevitt2Ian Kohler3Department of Physics, Elizabethtown College, Elizabethtown, PA 17022, USADepartment of Philosophy, Elizabethtown College, Elizabethtown, PA 17022, USADepartment of Mathematical Sciences, Elizabethtown College, Elizabethtown, PA 17022, USADepartment of Physics, Elizabethtown College, Elizabethtown, PA 17022, USATo answer Wheeler’s question “Why the quantum?” via quantum information theory according to Bub, one must explain both why the world is quantum rather than classical and why the world is quantum rather than superquantum, i.e., “Why the Tsirelson bound?” We show that the quantum correlations and quantum states corresponding to the Bell basis states, which uniquely produce the Tsirelson bound for the Clauser−Horne−Shimony−Holt (CHSH) quantity, can be derived from conservation per no preferred reference frame (NPRF). A reference frame in this context is defined by a measurement configuration, just as with the light postulate of special relativity. We therefore argue that the Tsirelson bound is ultimately based on NPRF just as the postulates of special relativity. This constraint-based/principle answer to Bub’s question addresses Fuchs’ desideratum that we “take the structure of quantum theory and change it from this very overt mathematical speak ... into something like [special relativity].” Thus, the answer to Bub’s question per Fuchs’ desideratum is, “the Tsirelson bound obtains due to conservation per NPRF”.https://www.mdpi.com/1099-4300/21/7/692Tsirelson boundBell–CHSH inequalitysuperquantum correlationsquantum information theory |
| spellingShingle | William Stuckey Michael Silberstein Timothy McDevitt Ian Kohler Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum Entropy Tsirelson bound Bell–CHSH inequality superquantum correlations quantum information theory |
| title | Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum |
| title_full | Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum |
| title_fullStr | Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum |
| title_full_unstemmed | Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum |
| title_short | Why the Tsirelson Bound? Bub’s Question and Fuchs’ Desideratum |
| title_sort | why the tsirelson bound bub s question and fuchs desideratum |
| topic | Tsirelson bound Bell–CHSH inequality superquantum correlations quantum information theory |
| url | https://www.mdpi.com/1099-4300/21/7/692 |
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