Improved bounds on some entanglement criteria in bipartite quantum systems
Entanglement detection is one of the core tasks in quantum information processing. Based on a broad class of informationally complete symmetric measurements, a series of separability criteria are proposed for different bipartite quantum systems using Cauchy–Schwarz inequality and ρ−ρA⊗ρB, respective...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723004564 |
| _version_ | 1797755021551468544 |
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| author | Liang Tang Fan Wu |
| author_facet | Liang Tang Fan Wu |
| author_sort | Liang Tang |
| collection | DOAJ |
| description | Entanglement detection is one of the core tasks in quantum information processing. Based on a broad class of informationally complete symmetric measurements, a series of separability criteria are proposed for different bipartite quantum systems using Cauchy–Schwarz inequality and ρ−ρA⊗ρB, respectively. In addition, by comparing and analyzing the existing entanglement criteria and detailed examples, it is not difficult to prove that our proposed criteria are more powerful and comprehensive in entanglement detection. |
| first_indexed | 2024-03-12T17:41:54Z |
| format | Article |
| id | doaj.art-a96245fca6544a82b10f56007fbe310f |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T17:41:54Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a96245fca6544a82b10f56007fbe310f2023-08-04T05:47:10ZengElsevierResults in Physics2211-37972023-08-0151106663Improved bounds on some entanglement criteria in bipartite quantum systemsLiang Tang0Fan Wu1School of Science, Xihua University, Chengdu, 610039, China; School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, China; Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, China; Corresponding author at: School of Science, Xihua University, Chengdu, 610039, China.School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, China; Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, ChinaEntanglement detection is one of the core tasks in quantum information processing. Based on a broad class of informationally complete symmetric measurements, a series of separability criteria are proposed for different bipartite quantum systems using Cauchy–Schwarz inequality and ρ−ρA⊗ρB, respectively. In addition, by comparing and analyzing the existing entanglement criteria and detailed examples, it is not difficult to prove that our proposed criteria are more powerful and comprehensive in entanglement detection.http://www.sciencedirect.com/science/article/pii/S2211379723004564Entanglement detectionEntanglement criteriaFree parameterBipartite systems(N, M)-POVMs |
| spellingShingle | Liang Tang Fan Wu Improved bounds on some entanglement criteria in bipartite quantum systems Results in Physics Entanglement detection Entanglement criteria Free parameter Bipartite systems (N, M)-POVMs |
| title | Improved bounds on some entanglement criteria in bipartite quantum systems |
| title_full | Improved bounds on some entanglement criteria in bipartite quantum systems |
| title_fullStr | Improved bounds on some entanglement criteria in bipartite quantum systems |
| title_full_unstemmed | Improved bounds on some entanglement criteria in bipartite quantum systems |
| title_short | Improved bounds on some entanglement criteria in bipartite quantum systems |
| title_sort | improved bounds on some entanglement criteria in bipartite quantum systems |
| topic | Entanglement detection Entanglement criteria Free parameter Bipartite systems (N, M)-POVMs |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723004564 |
| work_keys_str_mv | AT liangtang improvedboundsonsomeentanglementcriteriainbipartitequantumsystems AT fanwu improvedboundsonsomeentanglementcriteriainbipartitequantumsystems |