Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation
Quantum entanglement plays crucial roles in quantum information processing. Quantum entangled states have become the key ingredient in the rapidly expanding field of quantum information science. Although t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/301072 |
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| _version_ | 1832550871762731008 |
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| author | Ming Li Shao-Ming Fei Xianqing Li-Jost |
| author_facet | Ming Li Shao-Ming Fei Xianqing Li-Jost |
| author_sort | Ming Li |
| collection | DOAJ |
| description | Quantum entanglement
plays crucial roles in quantum information
processing. Quantum entangled states have become
the key ingredient in the rapidly expanding
field of quantum information science. Although
the nonclassical nature of entanglement has been
recognized for many years, considerable efforts
have been taken to understand and characterize
its properties recently. In this review, we
introduce some recent results in the theory of
quantum entanglement. In particular separability
criteria based on the Bloch representation,
covariance matrix, normal form and entanglement
witness, lower bounds, subadditivity property of
concurrence and tangle, fully entangled fraction
related to the optimal fidelity of quantum
teleportation, and entanglement distillation will
be discussed in detail. |
| format | Article |
| id | doaj-art-e34df86b04bc4a6eb1b19e7c07ae0366 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e34df86b04bc4a6eb1b19e7c07ae03662025-02-03T06:05:38ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/301072301072Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and DistillationMing Li0Shao-Ming Fei1Xianqing Li-Jost2College of Mathematics and Computational Science, China University of Petroleum, 257061 Dongying, ChinaDepartment of Mathematics, Capital Normal University, 100037 Beijing, ChinaMax-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, GermanyQuantum entanglement plays crucial roles in quantum information processing. Quantum entangled states have become the key ingredient in the rapidly expanding field of quantum information science. Although the nonclassical nature of entanglement has been recognized for many years, considerable efforts have been taken to understand and characterize its properties recently. In this review, we introduce some recent results in the theory of quantum entanglement. In particular separability criteria based on the Bloch representation, covariance matrix, normal form and entanglement witness, lower bounds, subadditivity property of concurrence and tangle, fully entangled fraction related to the optimal fidelity of quantum teleportation, and entanglement distillation will be discussed in detail.http://dx.doi.org/10.1155/2010/301072 |
| spellingShingle | Ming Li Shao-Ming Fei Xianqing Li-Jost Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation Advances in Mathematical Physics |
| title | Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation |
| title_full | Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation |
| title_fullStr | Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation |
| title_full_unstemmed | Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation |
| title_short | Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation |
| title_sort | quantum entanglement separability measure fidelity of teleportation and distillation |
| url | http://dx.doi.org/10.1155/2010/301072 |
| work_keys_str_mv | AT mingli quantumentanglementseparabilitymeasurefidelityofteleportationanddistillation AT shaomingfei quantumentanglementseparabilitymeasurefidelityofteleportationanddistillation AT xianqinglijost quantumentanglementseparabilitymeasurefidelityofteleportationanddistillation |