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High-dimensional cryptographic quantum parameter estimation

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Abstract

We investigate cryptographic quantum parameter estimation with a high-dimensional system that allows only Bob (Receiver) to access the result and achieve optimal parameter precision from Alice (Sender). Eavesdropper (Eve) only can disturb the parameter estimation of Bob, but she cannot obtain the information of parameter. And Bob can still securely obtain a high-precision estimation of parameter by utilizing the parallel-entangled strategy and sequential strategy with a large repeat count of communication. We analyze the security and show that the high-dimensional system can help to utilize the resource to obtain better precision than the two-dimensional system. Finally, we generalize it to the case of multi-parameter.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China under Grant No. 11747008, Guangxi Natural Science Foundation 2016GXNSFBA380227 and Guangxi Base Promotion Project of Young and Middle-aged Teachers (NO.2017KY0857).

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Authors and Affiliations

  1. Faculty of Science, Guilin University of Aerospace Technology, Guilin, Guangxi, People’s Republic of China

    Dong Xie, Chunling Xu & Jianyong Chen

  2. Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, People’s Republic of China

    An Min Wang

Authors
  1. Dong Xie
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  2. Chunling Xu
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  3. Jianyong Chen
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  4. An Min Wang
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Correspondence to Dong Xie.

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Xie, D., Xu, C., Chen, J. et al. High-dimensional cryptographic quantum parameter estimation. Quantum Inf Process 17, 116 (2018). https://doi.org/10.1007/s11128-018-1884-z

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