Quantum secret sharing schemes and reversibility of quantum operations

Tomohiro Ogawa, Akira Sasaki, Mitsugu Iwamoto, and Hirosuke Yamamoto
Phys. Rev. A 72, 032318 – Published 14 September 2005
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  • INTRODUCTION
  • DEFINITIONS
  • ACCESS STRUCTURE
  • REVERSIBILITY AND HOLEVO INFORMATION
  • CODING EFFICIENCY OF QSS SCHEMES
  • RAMP QSS SCHEMES
  • CONSTRUCTION OF RAMP SCHEMES
  • CONCLUDING REMARKS
  • APPENDICES
    • References

    Abstract

    Quantum secret sharing schemes encrypting a quantum state into a multipartite entangled state are treated. The lower bound on the dimension of each share given by Gottesman [Phys. Rev. A 61, 042311 (2000)] is revisited based on a relation between the reversibility of quantum operations and the Holevo information. We also propose a threshold ramp quantum secret sharing scheme and evaluate its coding efficiency.

    • Received 30 April 2005

    DOI:https://doi.org/10.1103/PhysRevA.72.032318

    ©2005 American Physical Society

    Authors & Affiliations

    Tomohiro Ogawa1,*, Akira Sasaki2,†, Mitsugu Iwamoto3,‡, and Hirosuke Yamamoto4,§

    • 1Graduate School of Information Science and Technology, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan
    • 2Sumitomo Mitsui Banking Corporation, 1–3–2, Marunouchi, Chiyoda-ku, Tokyo 100-0005 Japan
    • 3Graduate School of Information Systems, University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo, 182-8585 Japan
    • 4Graduate School of Frontier Sciences, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba, 277-8561 Japan

    • *Electronic address: ogawa@mist.i.u-tokyo.ac.jp
    • †Electronic address: Sasaki_Akira@dn.smbc.co.jp
    • ‡Electronic address: mitsugu@hn.is.uec.ac.jp
    • §Electronic address: Hirosuke@ieee.org

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    Issue

    Vol. 72, Iss. 3 — September 2005

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