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Protecting Two-qutrit Entanglement in Four Noise Channel Via Weak Measurement and Measurement Reversal

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Abstract

The protection of quantum entanglement has always been the focus of researchers. We adopt the scheme of combining weak measurement and measurement reversal to explore the protection effect of two-qutrit system in four noise channels, i.e., the amplitude damping channel, the phase damping channel, the bit flip channel and the depolarizing channel. For the given qutrits state with \(\alpha =\beta =\gamma =\frac {1}{\sqrt {3}}\), it is found that the protection scheme can help to protect entanglement in the amplitude damping channel, while for the state with \(\alpha =\beta =\frac {1}{\sqrt {2}},\gamma =0\), the protection scheme plays a protective role in the amplitude damping channel and the depolarizing channel. We also calculate and discuss how the negativity and the probability of success behave when adjusting the weak measurement or measurement reversal strength. In different noise channels, the entanglement can be kept as much as possible by choosing the appropriate weak measurement parameters. It provides a strong basis for the system to maintain maximum entanglement in different noise channels.

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Acknowledgements

This work was supported by the Natural Science Foundation of China (Grant No. 62005199) and the Natural Science Foundation of Shandong Province (Grant No. ZR2020KF017, ZR2020QA072, ZR2020LLZ001, ZR2019LL006, 2019GGX101073, ZR2018LA014). All the authors participated in the paper, and the main content they were responsible for was somewhat focused. All authors have read and agreed to the published version of the manuscript.

Funding

the Natural Science Foundation of China (Grant No. 62005199) and the Natural Science Foundation of Shandong Province (Grant No. ZR2020KF017, ZR2020QA072, ZR2020LLZ001, ZR2019LL006, 2019GGX101073, ZR2018LA014).

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Authors and Affiliations

  1. Shandong Provincial Key Laboratory of Multi-Photon Entanglement and Manipulation, Department of Physics and Optoelectronic Engineering, Weifang University, Weifang, 261061, China

    MeiJiao Wang, YingDe Li, Yang Yang, LianZhen Cao, Xia Liu, XinLe Wang, QinWei Zhang & JiaQiang Zhao

  2. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu, 273165, China

    YunJie Xia

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  1. MeiJiao Wang
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  2. YunJie Xia
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  4. Yang Yang
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  7. XinLe Wang
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Contributions

Conceptualization and methodology, M.J.W., Y.J.X., Y.D.L., Y.Y., L.Z.C., X.L., X.L.W., Q.W.Z. and J.Q.Z.; software, M.J.W. and J.Q.Z.; writing-original draft preparation, M.J.W. and J.Q.Z.; writing-review and editing, Y.J.X., Y.D.L., Y.Y. and L.Z.C, X.L., X.L.W.,Q.W.Z..

Corresponding author

Correspondence to JiaQiang Zhao.

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We solemnly declare that the submitted manuscript Protecting two-qutrit entanglement in four noise channel via weak measurement and measurement reversal is the result of my work and research. The research results of this manuscript do not contain the contents of any published or unpublished works created by others, except those already cited in the text. Other individuals and groups that have contributed to the research work involved in this manuscript have been clearly identified in the text. We undertake the legal responsibility for the statement of originality of this manuscript.

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The authors declare no conflicts of interest.

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Wang, M., Xia, Y., Li, Y. et al. Protecting Two-qutrit Entanglement in Four Noise Channel Via Weak Measurement and Measurement Reversal. Int J Theor Phys 60, 3375–3386 (2021). https://doi.org/10.1007/s10773-021-04809-w

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  • DOI: https://doi.org/10.1007/s10773-021-04809-w

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