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Optimal qubit-bases for preserving two-qubit entanglement against Pauli noises

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Abstract

Environment-induced decoherence would shorten the transmission distance or storage time of entangled states. Enhancing the intrinsic robustness and prolonging the disentangling time of entangled states are thus of importance. We here study the problem of optimal qubit-basis under which a two-qubit state has maximal residual entanglement or longest entanglement lifetime in general Pauli channels with the probabilities of three types of errors being not all the same. It is shown that the optimal qubit-bases are not the same in different cases. The advantages of the entangled states with optimal qubit-bases are obvious, e.g., sudden death of entanglement could be avoided. These results are expected to serve entanglement-based quantum protocols of which the real-world success or high-quality implementation relies on the longevity of entanglement in two-particle or multi-particle quantum states.

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Acknowledgements

This work was supported by the Hunan Provincial Natural Science Foundation (Grant Nos. 2020JJ4002, 2020JJ4146, 2019JJ50007), the NSFC (Grant No. 11947081), the Scientific Research Fund of Hunan Provincial Education Department (Grant No. 19A069), and the Innovation and Entrepreneurship Training Program for College Students in Hunan Province “Study on the methods for enhancing the robustness of entangled states in quantum information technology.”

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang, 421002, China

    Hui-Min Zhang, Xin-Wen Wang, Shi-Qing Tang & Ya-Ju Song

  2. Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang Normal University, Hengyang, 421002, China

    Xin-Wen Wang & Shi-Qing Tang

  3. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China

    Xin-Wen Wang

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  1. Hui-Min Zhang
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Zhang, HM., Wang, XW., Tang, SQ. et al. Optimal qubit-bases for preserving two-qubit entanglement against Pauli noises. Quantum Inf Process 19, 377 (2020). https://doi.org/10.1007/s11128-020-02889-x

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