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arXiv quant-ph/0405179quant-ph
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高效的多方量子秘密共享方案

Efficient Multi-Party Quantum Secret Sharing Schemes

Li Xiao, Gui Lu Long, Fu-Guo Deng, Jian-Wei Pan

摘要:

本文将Hillary,Bužek和Berthiaume[Phys. Rev. A59,1829(1999)]的量子秘密共享方案推广到任意多方。给出了共享秘密位的显式表达式。结果表明,在Hillery-Bužek-Berthiaume量子秘密共享方案中,秘密信息是以参与者的测量结果所形成的二进制串的奇偶性来共享的.此外,我们还推广了量子密钥分发中的两种技术,从而提高了量子秘密共享方案的效率。最优测量基量子秘密共享方案是在Lo-Chau-Ardehali技术的基础上发展起来的[H. K. Lo,H. F. Chau和M. Ardehali,quant-ph/0011056],其中所有参与者非对称地选择测量基,测量基加密的量子秘密共享方案是在Hwang-Koh-Han技术[W. Y.黄岛G. Koh和Y. D. Han,Phys. Lett. A244,489(1998)],其中所有参与者根据控制键选择他们的测量基础。这两个方案的效率都是渐近的100%,因此几乎所有的量子秘密共享过程中的GHZ态被用来产生共享的秘密信息。

英文摘要:

In this work, we generalize the quantum secret sharing scheme of Hillary, Bužek and Berthiaume[Phys. Rev. A59, 1829(1999)] into arbitrary multi-parties. 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, 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. A244, 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 GHZ-states in a quantum secret sharing process are used to generate shared secret information.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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