Effects of white noise on the violation of Bell-type inequalities based on probability theory
We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site. Note that, the main difference between statistical quasi-separations and the usua...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac0085 |
| _version_ | 1797750182506397696 |
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| author | Arijit Dutta Jaewan Kim Jinhyoung Lee |
| author_facet | Arijit Dutta Jaewan Kim Jinhyoung Lee |
| author_sort | Arijit Dutta |
| collection | DOAJ |
| description | We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site. Note that, the main difference between statistical quasi-separations and the usual statistical separations is that the former are not symmetric under exchange of the two local observables, whereas latter preserve the symmetry. We show that a variety of Bell inequalities can be derived by sequentially applying triangle inequalities which statistical quasi-separations satisfy. A sufficient condition is presented to show quantum violations of the Bell-type inequalities with infinitesimal values of critical visibility v _c . |
| first_indexed | 2024-03-12T16:30:00Z |
| format | Article |
| id | doaj.art-f5832f2434304b79bf0f89e8f8ef32e1 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:00Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-f5832f2434304b79bf0f89e8f8ef32e12023-08-08T15:34:59ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123707300810.1088/1367-2630/ac0085Effects of white noise on the violation of Bell-type inequalities based on probability theoryArijit Dutta0https://orcid.org/0000-0001-8517-0073Jaewan Kim1Jinhyoung Lee2https://orcid.org/0000-0001-8920-4445School of Computational Sciences, Korea Institute for Advanced Study , Seoul 02455, Republic of KoreaSchool of Computational Sciences, Korea Institute for Advanced Study , Seoul 02455, Republic of KoreaDepartment of Physics, Hanyang University , Seoul, 04763, Republic of KoreaWe introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site. Note that, the main difference between statistical quasi-separations and the usual statistical separations is that the former are not symmetric under exchange of the two local observables, whereas latter preserve the symmetry. We show that a variety of Bell inequalities can be derived by sequentially applying triangle inequalities which statistical quasi-separations satisfy. A sufficient condition is presented to show quantum violations of the Bell-type inequalities with infinitesimal values of critical visibility v _c .https://doi.org/10.1088/1367-2630/ac0085Bell inequalityquditswhite noise |
| spellingShingle | Arijit Dutta Jaewan Kim Jinhyoung Lee Effects of white noise on the violation of Bell-type inequalities based on probability theory New Journal of Physics Bell inequality qudits white noise |
| title | Effects of white noise on the violation of Bell-type inequalities based on probability theory |
| title_full | Effects of white noise on the violation of Bell-type inequalities based on probability theory |
| title_fullStr | Effects of white noise on the violation of Bell-type inequalities based on probability theory |
| title_full_unstemmed | Effects of white noise on the violation of Bell-type inequalities based on probability theory |
| title_short | Effects of white noise on the violation of Bell-type inequalities based on probability theory |
| title_sort | effects of white noise on the violation of bell type inequalities based on probability theory |
| topic | Bell inequality qudits white noise |
| url | https://doi.org/10.1088/1367-2630/ac0085 |
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