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Online evolution reconstruction from a single measurement record with random time intervals for quantum communication

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Abstract

Online reconstruction of a time-variant quantum state from the encoding/decoding results of quantum communication is addressed by developing a method of evolution reconstruction from a single measurement record with random time intervals. A time-variant two-dimensional state is reconstructed on the basis of recovering its expectation value functions of three nonorthogonal projectors from a random single measurement record, which is composed from the discarded qubits of the six-state protocol. The simulated results prove that our method is robust to typical metro quantum channels. Our work extends the Fourier-based method of evolution reconstruction from the version for a regular single measurement record with equal time intervals to a unified one, which can be applied to arbitrary single measurement records. The proposed protocol of evolution reconstruction runs concurrently with the one of quantum communication, which can facilitate the online quantum tomography.

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Acknowledgements

Our work was supported by the National Natural Science Foundation of China (Nos. 11404407 and 61371121) and the Natural Science Foundation of Jiangsu Province (Nos. BK20140072, BK20161471).

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Authors and Affiliations

  1. Institute of Communications Engineering, PLA University of Science and Technology, Haifu Lane No. 1, Nanjing, 210007, China

    Hua Zhou, Yang Su, Rong Wang, Yong Zhu, Huiping Shen, Tao Pu, Chuanxin Wu, Jiyong Zhao, Baofu Zhang & Zhiyong Xu

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  1. Hua Zhou
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  2. Yang Su
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  3. Rong Wang
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  4. Yong Zhu
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Correspondence to Zhiyong Xu.

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Zhou, H., Su, Y., Wang, R. et al. Online evolution reconstruction from a single measurement record with random time intervals for quantum communication. Quantum Inf Process 16, 247 (2017). https://doi.org/10.1007/s11128-017-1700-1

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