Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems

doi:10.1088/1674-1056/21/8/080305

中国物理B ›› 2012, Vol. 21 ›› Issue (8): 80305-080305.doi: 10.1088/1674-1056/21/8/080305

Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems

许景周^a, 郭金宝^a, 文伟^b, 白彦魁^a, 闫凤利^a

a College of Physical Science and Information Engineering and Hebei Advance Thin Films Laboratory, Hebei Normal University, Shijiazhuang 050016, China;
b State Key Laboratory of Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P. O. Box 912, Beijing 100083, China

收稿日期:2012-02-02 修回日期:2012-02-22 出版日期:2012-07-01 发布日期:2012-07-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10905016 and 10971247), the Natural Science Foundation of Hebei Province of China (Grant Nos. A2012205062, A2012205013, and A2010000344), and the Fund of Hebei Normal University.

Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems

Xu Jing-Zhou (许景周)^a, Guo Jin-Bao (郭金宝)^a, Wen Wei (文伟)^b, Bai Yan-Kui (白彦魁)^a, Yan Feng-Li (闫凤利 )^a

a College of Physical Science and Information Engineering and Hebei Advance Thin Films Laboratory, Hebei Normal University, Shijiazhuang 050016, China;
b State Key Laboratory of Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P. O. Box 912, Beijing 100083, China

Received:2012-02-02 Revised:2012-02-22 Online:2012-07-01 Published:2012-07-01
Contact: Bai Yan-Kui, Yan Feng-Li E-mail:ykbai@semi.ac.cn; flyan@hebtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10905016 and 10971247), the Natural Science Foundation of Hebei Province of China (Grant Nos. A2012205062, A2012205013, and A2010000344), and the Fund of Hebei Normal University.

摘要/Abstract

摘要： We analyze the multipartite entanglement evolution of three-qubit mixed states composed of a GHZ state and a W state. For a composite system consisting of three cavities interacting with independent reservoirs, it is shown that the entanglement evolution is restricted by a set of monogamy relations. Furthermore, as quantified by the negativity, the entanglement dynamical property of the mixed entangled state of cavity photons is investigated. It is found that the three cavity photons can exhibit the phenomenon of entanglement sudden death (ESD). However, compared with the evolution of a generalized three-qubit GHZ state which has the equal initial entanglement, the ESD time of mixed states is latter than that of the pure state. Finally, we discuss the entanglement distribution in the multipartite system, and point out the intrinsic relation between the ESD of cavity photons and the entanglement sudden birth of reservoirs.

关键词: entanglement evolution, three-qubit mixed states, cavity-reservoir systems

Abstract: We analyze the multipartite entanglement evolution of three-qubit mixed states composed of a GHZ state and a W state. For a composite system consisting of three cavities interacting with independent reservoirs, it is shown that the entanglement evolution is restricted by a set of monogamy relations. Furthermore, as quantified by the negativity, the entanglement dynamical property of the mixed entangled state of cavity photons is investigated. It is found that the three cavity photons can exhibit the phenomenon of entanglement sudden death (ESD). However, compared with the evolution of a generalized three-qubit GHZ state which has the equal initial entanglement, the ESD time of mixed states is latter than that of the pure state. Finally, we discuss the entanglement distribution in the multipartite system, and point out the intrinsic relation between the ESD of cavity photons and the entanglement sudden birth of reservoirs.

Key words: entanglement evolution, three-qubit mixed states, cavity-reservoir systems

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality) 03.65.Yz (Decoherence; open systems; quantum statistical methods)

许景周, 郭金宝, 文伟, 白彦魁, 闫凤利 . Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems[J]. 中国物理B, 2012, 21(8): 80305-080305.

Xu Jing-Zhou (许景周), Guo Jin-Bao (郭金宝), Wen Wei (文伟), Bai Yan-Kui (白彦魁), Yan Feng-Li (闫凤利 ). Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems[J]. Chin. Phys. B, 2012, 21(8): 80305-080305.

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Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems

Entanglement evolution of three-qubit mixed states in multipartite cavity–reservoir systems

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