Efficient multiparty quantum-secret-sharing schemes

Li Xiao, Gui Lu Long, Fu-Guo Deng, and Jian-Wei Pan
Phys. Rev. A 69, 052307 – Published 11 May 2004

Abstract

In this work, we generalize the quantum-secret-sharing scheme of Hillery, Bužek, and Berthiaume [Phys. Rev. A 59, 1829 (1999)] into arbitrary multiparties. Explicit expressions for the shared secret bit is given. It is shown that in the Hillery-Bužek-Berthiaume quantum-secret-sharing scheme the secret information is shared in the parity of binary strings formed by the measured outcomes of the participants. In addition, we have increased the efficiency of the quantum-secret-sharing scheme by generalizing two techniques from quantum key distribution. The favored-measuring-basis quantum-secret-sharing scheme is developed from the Lo-Chau-Ardehali technique [H. K. Lo, H. F. Chau, and M. Ardehali, e-print quant-ph∕0011056] where all the participants choose their measuring-basis asymmetrically, and the measuring-basis-encrypted quantum-secret-sharing scheme is developed from the Hwang-Koh-Han technique [W. Y. Hwang, I. G. Koh, and Y. D. Han, Phys. Lett. A 244, 489 (1998)] where all participants choose their measuring basis according to a control key. Both schemes are asymptotically 100% in efficiency, hence nearly all the Greenberger-Horne-Zeilinger states in a quantum-secret-sharing process are used to generate shared secret information.

  • Received 1 August 2003

DOI:https://doi.org/10.1103/PhysRevA.69.052307

©2004 American Physical Society

Authors & Affiliations

Li Xiao1,2, Gui Lu Long1,2,3,4, Fu-Guo Deng1,2, and Jian-Wei Pan5

  • 1Department of Physics, Tsinghua University, Beijing 100084, China
  • 2Key Laboratory for Quantum Information and Measurements, MOE, Beijing 100084, People’s Republic of China
  • 3Center of Atomic and Molecular NanoSciences, Tsinghua University, Beijing 100084, China
  • 4Center for Quantum Information, Tsinghua University, Beijing 100084, China
  • 5Institute for Experimental Physics University of Vienna, Boltzmanngasse 5, Vienna 9, Austria

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Issue

Vol. 69, Iss. 5 — May 2004

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