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山东大学学报(理学版) ›› 2018, Vol. 53 ›› Issue (9): 62-68.doi: 10.6040/j.issn.1671-9352.0.2017.569

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可实现全部超星量子存取结构的量子秘密共享方案

焦鸿儒1,秦静1,2*   

  1. 1. 山东大学数学学院, 山东 济南 250100;2. 中国科学院信息工程研究所信息安全国家重点实验室, 北京 100093
  • 收稿日期:2017-10-31 出版日期:2018-09-20 发布日期:2018-09-10
  • 作者简介:焦鸿儒(1993— ),男,硕士研究生,研究方向为信息安全. E-mail:jiaohongru003@163.com*通信作者简介:秦静(1960— ),女,博士,教授,研究方向为信息安全. E-mail:qinjing@sdu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(61272091,61772311);山东省自然科学基金资助项目(ZR2012FM005)

Quantum secret sharing scheme realizing all hyperstar quantum access structure

JIAO Hong-ru1, QIN Jing1,2*   

  1. 1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
    2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China
  • Received:2017-10-31 Online:2018-09-20 Published:2018-09-10

摘要: 为了实现更多的量子存取结构,通过对超星量子存取结构上部分授权子集分发非目标秘密量子态,提出了一种新型的量子秘密共享方案。与其他同类方案相比,该方案理论上可实现全部的超星量子存取结构,方案中各成员都获得量子备份,具备无条件安全性。

关键词: 超星量子存取结构, 量子秘密共享

Abstract: To realise more quantum access structure, we put forward a new quantum secret sharing scheme by sharing non-objected secret sharing states to some authorised subsets in the hyperstar quantum access structure. Compared with other similar sechems, all partners in our scheme obtain quantum share and our scheme possess unconditional security.

Key words: quantum secret sharing, hyperstar quantum access structure

中图分类号: 

  • TP309
[1] SHAMIR A. How to share a secret[J]. Communications of the ACM, 2011, 22(11):612-613.
[2] BLAKLEY G R. Safeguarding cryptographic keys[C] // Proceedings of AFIPS 1979 National Computer Conference. Montvale: AFIPS, 1979: 313-317.
[3] BENALOH J, LEICHTER J. Generalized secret sharing and monotone functions[C] // Advances in Cryptology-CRYPTO' 88 Proceedings. Berlin: Springer-Verlag, 1988, 403:27-35.
[4] JACKSON W-A, MARTIN K M. Perfect secret sharing schemes on five participants[J]. Designs, Codes and Cryptography, 1996, 9(3):267-286.
[5] VAN DIJK M. On the information rate of perfect secret sharing schemes[J]. Designs, Codes and Cryptography, 1995, 6(2):143-169.
[6] 宋云, 李志慧. 一类完善秘密共享方案的最优信息率[J].计算机工程, 2012, 38(12):9-12. SONG Yun, LI Zhihui. Optimal information rate of a type of perfect secret sharing schemes[J].Computer Engineering, 2012, 38(12):9-12.
[7] HILLERY M, BUZEK V, BERTHIAUME A. Quantum secret sharing[J]. Physical Review A, 1999, 59(3):1829-1834.
[8] CLEVE R, GOTTESMAN D, LO H K. How to share a quantum secret[J]. Physical Review Letters, 1999, 83(3):648-651.
[9] ZHANG Zurong, LIU Weitao, LI Chengzu. Quantum secret sharing based on quantum error- correcting codes[J]. Chinese Physics B, 2011, 20(5):050309.
[10] KARLSSON A, KOASHI M, IMOTO N. Quantum entanglement for secret sharing and secret splitting[J]. Physical Review A, 1999, 59(1):162-168.
[11] TYC T, SANDERS B C. How to share a continuous-variable quantum secret by optical interferometry[J]. Physical Review A, 2001, 65(4A):042310
[12] IMAI H, MUELLERQUADE J, NASCIMENTO A C A, et al. A quantum information theoretical model for quantum secret sharing schemes[J]. Quantum Information & Computation, 2003, 5(1):69-80.
[13] BAI Chenming, LI Zhihui, XU Tingting, et al. A generalized information theoretical model for quantum secret sharing[J]. International Journal of Theoretical Physics, 2016, 55(11):4972-4986.
[14] 徐廷廷, 李志慧, 麻敏. 一种新型的可改进的量子秘密共享方案[J]. 山东大学学报(理学版), 2017, 52(3):8-15. XU Tingting, LI Zhihui, MA Min. A new improvable quantum secret sharing scheme[J].Journal of Shandong University(Natural Science), 2017, 52(3):8-15.
[15] NASCIMENTO A C A, MUELLERQUADE J, IMAI H. Improving quantum secret-sharing schemes[J]. Physical Review A, 2001, 64(4):502-508.
[16] NIELSEN M A, CHUANG I L. Quantum computation and quantum information: 10th anniversary edition[M]. Cambridge: Cambridge University Press, 2011.
[17] GOTTESMAN D. Theory of quantum secret sharing[J]. Physical Review A, 2000, 61(4):192-193.
[1] 徐廷廷,李志慧,麻敏. 一种新型的可改进的量子秘密共享方案[J]. 山东大学学报(理学版), 2017, 52(3): 8-15.
[2] 许盛伟. 一种新型的量子秘密共享方案[J]. 山东大学学报(理学版), 2016, 51(9): 36-40.
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