中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70302-070302.doi: 10.1088/1674-1056/ac4a61

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Robustness of two-qubit and three-qubit states in correlated quantum channels

Zhan-Yun Wang(王展云)1,†, Feng-Lin Wu(吴风霖)2,3, Zhen-Yu Peng(彭振宇)4, and Si-Yuan Liu(刘思远)2,3   

  1. 1 School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an 710121, China;
    2 Institute of Modern Physics, Northwest University, Xi'an 710127, China;
    3 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
    4 School of Physics, Northwest University, Xi'an 710127, China
  • 收稿日期:2021-10-19 修回日期:2021-12-17 接受日期:2022-01-12 出版日期:2022-06-09 发布日期:2022-06-09
  • 通讯作者: Zhan-Yun Wang E-mail:zywang@xupt.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11705146 and 12175179), the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2019JQ-863), and the Open Project of Shaanxi Key Laboratory for Theoretical Physics Frontiers (Grant No. SXKLTPF-K20190606).

Robustness of two-qubit and three-qubit states in correlated quantum channels

Zhan-Yun Wang(王展云)1,†, Feng-Lin Wu(吴风霖)2,3, Zhen-Yu Peng(彭振宇)4, and Si-Yuan Liu(刘思远)2,3   

  1. 1 School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an 710121, China;
    2 Institute of Modern Physics, Northwest University, Xi'an 710127, China;
    3 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
    4 School of Physics, Northwest University, Xi'an 710127, China
  • Received:2021-10-19 Revised:2021-12-17 Accepted:2022-01-12 Online:2022-06-09 Published:2022-06-09
  • Contact: Zhan-Yun Wang E-mail:zywang@xupt.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11705146 and 12175179), the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2019JQ-863), and the Open Project of Shaanxi Key Laboratory for Theoretical Physics Frontiers (Grant No. SXKLTPF-K20190606).

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摘要： We investigate how the correlated actions of quantum channels affect the robustness of entangled states. We consider the Bell-like state and random two-qubit pure states in the correlated depolarizing, bit flip, bit-phase flip, and phase flip channels. It is found that the robustness of two-qubit pure states can be noticeably enhanced due to the correlations between consecutive actions of these noisy channels, and the Bell-like state is always the most robust one. We also consider the robustness of three-qubit pure states in correlated noisy channels. For the correlated bit flip and phase flip channels, the result shows that although the most robust and most fragile states are locally unitary equivalent, they exhibit different robustness in different correlated channels, and the effect of channel correlations on them is also significantly different. However, for the correlated depolarizing and bit-phase flip channels, the robustness of two special three-qubit pure states is exactly the same. Moreover, compared with the random three-qubit pure states, they are neither the most robust states nor the most fragile states.

关键词: correlated quantum channel, entanglement, concurrence, negativity

Abstract: We investigate how the correlated actions of quantum channels affect the robustness of entangled states. We consider the Bell-like state and random two-qubit pure states in the correlated depolarizing, bit flip, bit-phase flip, and phase flip channels. It is found that the robustness of two-qubit pure states can be noticeably enhanced due to the correlations between consecutive actions of these noisy channels, and the Bell-like state is always the most robust one. We also consider the robustness of three-qubit pure states in correlated noisy channels. For the correlated bit flip and phase flip channels, the result shows that although the most robust and most fragile states are locally unitary equivalent, they exhibit different robustness in different correlated channels, and the effect of channel correlations on them is also significantly different. However, for the correlated depolarizing and bit-phase flip channels, the robustness of two special three-qubit pure states is exactly the same. Moreover, compared with the random three-qubit pure states, they are neither the most robust states nor the most fragile states.

Key words: correlated quantum channel, entanglement, concurrence, negativity

中图分类号:  (Decoherence; open systems; quantum statistical methods)

  • 03.65.Yz
03.67.Bg (Entanglement production and manipulation) 03.65.Ud (Entanglement and quantum nonlocality)