Solution to the mean king's problem using quantum error-correcting codes

Masakazu Yoshida, Gen Kimura, Takayuki Miyadera, Hideki Imai, and Jun Cheng
Phys. Rev. A 91, 052326 – Published 26 May 2015
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  • INTRODUCTION
  • REVIEW OF QUANTUM ERROR-CORRECTING CODES
  • SOLUTION TO MEAN KING'S PROBLEM USING…
  • EXISTENCE OF QUANTUM ERROR-CORRECTING…
  • CLASS OF PROBLEMS SOLVED WITH QUANTUM…
  • TOWARD HIGHER DIMENSIONAL QUANTUM…
  • CONCLUSION
  • APPENDICES
    • References

    Abstract

    We discuss the so-called mean king's problem, a retrodiction problem among noncommutative observables, in the context of error detection. Describing the king's measurement effectively by a single error operation, we give a solution of the mean king's problem using quantum error-correcting codes. The existence of a quantum error-correcting code from a solution is also presented.

    • Received 15 April 2015

    DOI:https://doi.org/10.1103/PhysRevA.91.052326

    ©2015 American Physical Society

    Authors & Affiliations

    Masakazu Yoshida1,*, Gen Kimura2,†, Takayuki Miyadera3, Hideki Imai†, and Jun Cheng1

    • 1Department of Intelligent Information Engineering and Science, Doshisha University, 1-3 Tatara Miyakodani, Kyotanabe-shi, Kyoto, 610-0394, Japan
    • 2College of Systems Engineering and Science, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-shi, Saitama, 337-8570, Japan
    • 3Department of Nuclear Engineering, Kyoto University, Kyoto, 615-8540, Japan

    • *masyoshi@mail.doshisha.ac.jp
    • †gen@shibaura-it.ac.jp
    • ‡Retired.

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    Issue

    Vol. 91, Iss. 5 — May 2015

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