Tripartite Svetlichny test with measurement dependence
The Bell test, as an important method for detecting nonlocality, is widely used in device-independent quantum information processing tasks. The security of these tasks is based on an assumption called measurement independence. Since this assumption is difficult to be guaranteed in practical Bell tes...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1356682/full |
| _version_ | 1827355863796416512 |
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| author | Run-Ze Li Dan-Dan Li Sheng-Yao Wu Su-Juan Qin Fei Gao Qiao-Yan Wen |
| author_facet | Run-Ze Li Dan-Dan Li Sheng-Yao Wu Su-Juan Qin Fei Gao Qiao-Yan Wen |
| author_sort | Run-Ze Li |
| collection | DOAJ |
| description | The Bell test, as an important method for detecting nonlocality, is widely used in device-independent quantum information processing tasks. The security of these tasks is based on an assumption called measurement independence. Since this assumption is difficult to be guaranteed in practical Bell tests, it is meaningful to consider the effect of reduced measurement independence (i.e., measurement dependence) on Bell tests. Some research studies have shown that nonlocality can be detected even if measurement dependence exists. However, the relevant results are all based on bipartite Bell tests, and the results for multipartite Bell tests are still missing. In this paper, we explore this problem in the tripartite Svetlichny test. By considering flexible lower and upper bounds on the degree of measurement dependence, we obtain the relation among measurement dependence, guessing probability, and the maximal value of Svetlichny inequality. Our results reveal the case in which genuine nonlocality is nonexistent; at this point, the outcomes of the Bell test cannot be applied in device-independent quantum information processing tasks. |
| first_indexed | 2024-03-08T04:49:30Z |
| format | Article |
| id | doaj.art-381d42fce7ba4f13b27f7a4a561a7361 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-08T04:49:30Z |
| publishDate | 2024-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-381d42fce7ba4f13b27f7a4a561a73612024-02-08T05:19:14ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-02-011210.3389/fphy.2024.13566821356682Tripartite Svetlichny test with measurement dependenceRun-Ze Li0Dan-Dan Li1Sheng-Yao Wu2Su-Juan Qin3Fei Gao4Qiao-Yan Wen5State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Computer Science (National Pilot Software Engineering School), Beijing University of Posts and Telecommunications, Beijing, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaThe Bell test, as an important method for detecting nonlocality, is widely used in device-independent quantum information processing tasks. The security of these tasks is based on an assumption called measurement independence. Since this assumption is difficult to be guaranteed in practical Bell tests, it is meaningful to consider the effect of reduced measurement independence (i.e., measurement dependence) on Bell tests. Some research studies have shown that nonlocality can be detected even if measurement dependence exists. However, the relevant results are all based on bipartite Bell tests, and the results for multipartite Bell tests are still missing. In this paper, we explore this problem in the tripartite Svetlichny test. By considering flexible lower and upper bounds on the degree of measurement dependence, we obtain the relation among measurement dependence, guessing probability, and the maximal value of Svetlichny inequality. Our results reveal the case in which genuine nonlocality is nonexistent; at this point, the outcomes of the Bell test cannot be applied in device-independent quantum information processing tasks.https://www.frontiersin.org/articles/10.3389/fphy.2024.1356682/fullBell testBell nonlocalitymeasurement dependenceSvetlichny inequalitydevice-independent quantum information task |
| spellingShingle | Run-Ze Li Dan-Dan Li Sheng-Yao Wu Su-Juan Qin Fei Gao Qiao-Yan Wen Tripartite Svetlichny test with measurement dependence Frontiers in Physics Bell test Bell nonlocality measurement dependence Svetlichny inequality device-independent quantum information task |
| title | Tripartite Svetlichny test with measurement dependence |
| title_full | Tripartite Svetlichny test with measurement dependence |
| title_fullStr | Tripartite Svetlichny test with measurement dependence |
| title_full_unstemmed | Tripartite Svetlichny test with measurement dependence |
| title_short | Tripartite Svetlichny test with measurement dependence |
| title_sort | tripartite svetlichny test with measurement dependence |
| topic | Bell test Bell nonlocality measurement dependence Svetlichny inequality device-independent quantum information task |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1356682/full |
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