Impact of imperfect measurements on multi-party quantum key distribution
The imperfection of measurements in real-world scenarios can compromise the performance of device-independent quantum key distribution (DIQKD) protocols. In this paper, we focus on a specific DIQKD protocol that relies on the violation of the Svetlichny’s inequality (SI), considering an eavesdropper...
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| Formato: | Artigo |
| Idioma: | English |
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Elsevier
2023-11-01
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| Series: | Results in Physics |
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| Acceso en liña: | http://www.sciencedirect.com/science/article/pii/S2211379723008446 |
| _version_ | 1827753206394912768 |
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| author | Yang Xiang |
| author_facet | Yang Xiang |
| author_sort | Yang Xiang |
| collection | DOAJ |
| description | The imperfection of measurements in real-world scenarios can compromise the performance of device-independent quantum key distribution (DIQKD) protocols. In this paper, we focus on a specific DIQKD protocol that relies on the violation of the Svetlichny’s inequality (SI), considering an eavesdropper utilizing the convex combination attack. Our analysis covers both the three-party DIQKD case and the general n-party scenario. Our main result is the relationship between the measurement accuracy and the extractable secret-key rate in all multi-party scenarios. The result demonstrates that as measurement accuracy improves, the extractable secret-key rate approaches 1, reaching its maximum value when the measurement accuracy is perfect. We reveal that achieving positive extractable secret-key rates requires a threshold measurement accuracy that is consistently higher than the critical measurement accuracy necessary to violate the SI. We depict these thresholds for n-party scenarios ranging from n=3 to n=10, demonstrating that as the number of parties (n) increases, both thresholds exhibit a rapid and monotonic convergence towards unity. Furthermore, we consider a scenario involving a non-maximally entangled state with imperfect measurements, where the emission of the initial GHZ state undergoes noise during transmission, resulting in a Werner state. The study further quantifies and demonstrates the relationship between the extractable secret-key rate, the visibility of the Werner state, and the measurement accuracy, specifically emphasizing the three-party scenario. This study aims to illuminate the influence of imperfect measurement accuracy on the security and performance of multi-party DIQKD protocols. The results emphasize the importance of high measurement accuracy in achieving positive secret-key rates and maintaining the violation of the SI. |
| first_indexed | 2024-03-11T07:33:31Z |
| format | Article |
| id | doaj.art-0859bfd4b15947f9a083a74f76b51e51 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T07:33:31Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-0859bfd4b15947f9a083a74f76b51e512023-11-17T05:26:20ZengElsevierResults in Physics2211-37972023-11-0154107051Impact of imperfect measurements on multi-party quantum key distributionYang Xiang0School of Physics and Electronics, Henan University, Kaifeng, Henan 475004, ChinaThe imperfection of measurements in real-world scenarios can compromise the performance of device-independent quantum key distribution (DIQKD) protocols. In this paper, we focus on a specific DIQKD protocol that relies on the violation of the Svetlichny’s inequality (SI), considering an eavesdropper utilizing the convex combination attack. Our analysis covers both the three-party DIQKD case and the general n-party scenario. Our main result is the relationship between the measurement accuracy and the extractable secret-key rate in all multi-party scenarios. The result demonstrates that as measurement accuracy improves, the extractable secret-key rate approaches 1, reaching its maximum value when the measurement accuracy is perfect. We reveal that achieving positive extractable secret-key rates requires a threshold measurement accuracy that is consistently higher than the critical measurement accuracy necessary to violate the SI. We depict these thresholds for n-party scenarios ranging from n=3 to n=10, demonstrating that as the number of parties (n) increases, both thresholds exhibit a rapid and monotonic convergence towards unity. Furthermore, we consider a scenario involving a non-maximally entangled state with imperfect measurements, where the emission of the initial GHZ state undergoes noise during transmission, resulting in a Werner state. The study further quantifies and demonstrates the relationship between the extractable secret-key rate, the visibility of the Werner state, and the measurement accuracy, specifically emphasizing the three-party scenario. This study aims to illuminate the influence of imperfect measurement accuracy on the security and performance of multi-party DIQKD protocols. The results emphasize the importance of high measurement accuracy in achieving positive secret-key rates and maintaining the violation of the SI.http://www.sciencedirect.com/science/article/pii/S2211379723008446Multipartite quantum key distributionGenuine multipartite quantum correlationsSvetlichny’s inequalityDevice-independent quantum key distributionMeasurement accuracy |
| spellingShingle | Yang Xiang Impact of imperfect measurements on multi-party quantum key distribution Results in Physics Multipartite quantum key distribution Genuine multipartite quantum correlations Svetlichny’s inequality Device-independent quantum key distribution Measurement accuracy |
| title | Impact of imperfect measurements on multi-party quantum key distribution |
| title_full | Impact of imperfect measurements on multi-party quantum key distribution |
| title_fullStr | Impact of imperfect measurements on multi-party quantum key distribution |
| title_full_unstemmed | Impact of imperfect measurements on multi-party quantum key distribution |
| title_short | Impact of imperfect measurements on multi-party quantum key distribution |
| title_sort | impact of imperfect measurements on multi party quantum key distribution |
| topic | Multipartite quantum key distribution Genuine multipartite quantum correlations Svetlichny’s inequality Device-independent quantum key distribution Measurement accuracy |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723008446 |
| work_keys_str_mv | AT yangxiang impactofimperfectmeasurementsonmultipartyquantumkeydistribution |