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Entanglement Teleportation of a Two-Qubit System via Correlated Quantum Channels

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Abstract

We address the teleportation of a two-qubit entangled state through quantum channels where successive uses of the channels are correlated, and investigate how memory effect induced by successive uses of the channels influences the entanglement teleportation and fidelity. The analytical expressions of the entanglement teleportation and average fidelity under three different correlated channels are presented. Our results show that, the output entanglement teleportation strongly depends on the source state, the initial entanglement of teleporting state and parameters of noisy channels. However, the average fidelity is only affected by the parameters of the source state and noisy channels.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No.11747107), the Natural Science Foundation of Hunan Province (Grant No.2017JJ3346), the Scientific Research Project of Hunan Province Department of Education (Grant Nos.17A021 and 16C0134), the Project of Science and Technology Plan of Changsha (Kc1809001 and K1705022), and Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education (QSQC1810)

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    Authors and Affiliations

    1. College of Electronic Communication and Electrical Engineering, Changsha University, Changsha, Hunan, 410022, People’s Republic of China

      Ying Long, You-neng Guo & Xiao-zhi Liu

    2. College of Mathematics and Computing Science, Changsha University, Changsha, Hunan, 410022, People’s Republic of China

      Qing-long Tian

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    1. Ying Long
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    2. You-neng Guo
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    Correspondence to You-neng Guo.

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    Ying Long and Youneng Guo contributed equally to this work

    Appendix

    Appendix

    In this appendix, we present the analytic expressions of entanglement teleportation \(\mathcal {C}_{out}\) and the average teleportation fidelity \(\mathcal {\bar {F}}\) for a class of maximally entangled states as resources subjected to correlated amplitude damping(Am), phase damping(Pd), and depolarizing(De) channels.

    Table 2 the analytic expressions of entanglement teleportation \(\mathcal {C}_{out}\) and the average teleportation fidelity \(\mathcal {\bar {F}}\) for a class of maximally entangled states as resources subjected to correlated amplitude damping(Am), phase damping(Pd), and depolarizing(De) channels
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    Long, Y., Guo, Yn., Liu, Xz. et al. Entanglement Teleportation of a Two-Qubit System via Correlated Quantum Channels. Int J Theor Phys 59, 77–86 (2020). https://doi.org/10.1007/s10773-019-04289-z

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