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High-dimensional cryptographic quantum parameter estimation

  • Dong Xie
  • Chunling Xu
  • Jianyong Chen
  • An Min Wang
Article
  • 97 Downloads

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.

Keywords

Parameter estimation Quantum metrology Quantum communication Quantum cryptography 

Notes

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Dong Xie
    • 1
  • Chunling Xu
    • 1
  • Jianyong Chen
    • 1
  • An Min Wang
    • 2
  1. 1.Faculty of ScienceGuilin University of Aerospace TechnologyGuilinPeople’s Republic of China
  2. 2.Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiPeople’s Republic of China

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