中国物理B ›› 2020, Vol. 29 ›› Issue (11): 110307-.doi: 10.1088/1674-1056/aba614

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Mei-Jiao Wang(王美姣)1, Yun- Jie Xia(夏云杰)2,3, Yang Yang(杨阳)1, Liao-Zhen Cao(曹连振)1, Qin-Wei Zhang(张钦伟)1, Ying-De Li(李英德)1, Jia-Qiang Zhao(赵加强)1,†()   

  • 收稿日期:2020-05-08 修回日期:2020-07-06 接受日期:2020-07-15 出版日期:2020-11-05 发布日期:2020-11-03

Protecting the entanglement of two-qubit over quantum channels with memory via weak measurement and quantum measurement reversal

Mei-Jiao Wang(王美姣)1, Yun-Jie Xia(夏云杰)2,3, Yang Yang(杨阳)1, Liao-Zhen Cao(曹连振)1, Qin-Wei Zhang(张钦伟)1, Ying-De Li(李英德)1, and Jia-Qiang Zhao(赵加强)1, †   

  1. 1 Department of Physics and Optoelectronic Engineering, Weifang University, Weifang 261061, China
    2 College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
    3 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, China
  • Received:2020-05-08 Revised:2020-07-06 Accepted:2020-07-15 Online:2020-11-05 Published:2020-11-03
  • Contact: †Corresponding author. E-mail: zhaojiaqiang@wfu.edu.cn
  • Supported by:
    the Natural Science Foundation of Shandong Province, China (Grant No. ZR2017MF040).

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Abstract:

Based on the quantum technique of the weak measurement and quantum measurement reversal (WMR), we propose a scheme to protect entanglement for an entangled two-qubit pure state from four typical quantum noise channels with memory, i.e., the amplitude damping channel, the phase damping channel, the bit flip channel, and the depolarizing channel. For a given initial state | ψ 〉 = a| 00 〉 + d| 11 〉, it is found that the WMR operation indeed helps to protect entanglement from the above four quantum channels with memory, and the protection effect of WMR scheme is better when the coefficient a is small. For the other initial state | ϕ 〉 = b| 01 〉 + c| 10 〉, the effect of the protection scheme is the same regardless of the coefficient b and the WMR operation can protect entanglement in the amplitude damping channel with memory. Moreover, the protection of entanglement in quantum noise channels without memory in contrast to the results of the channels with memory is more effective. For | ψ 〉 or | ϕ 〉, we also find that the memory parameters play a significant role in the suppression of entanglement sudden death and the initial entanglement can be drastically amplified. Another more important result is that the relationship between the concurrence, the memory parameter, the weak measurement strength, and quantum measurement reversal strength is found through calculation and discussion. It provides a strong basis for the system to maintain maximum entanglement in the nosie channel.

Key words: quantum entanglement, weak measurement and quantum measurement reversal, quantum channel with memory, concurrence