A multiparty error-correcting method for quantum secret sharing

被引:0
作者
Rui-Ke Chen
Ying-Ying Zhang
Jian-Hong Shi
Feng-Guang Li
机构
[1] Zhengzhou Information Science and Technology Institute,
[2] Science and Technology on Information Assurance Laboratory,undefined
来源
Quantum Information Processing | 2014年 / 13卷
关键词
Quantum secret sharing; Multiparty error correction ; Quantum cryptography; Cascade protocol;
D O I
暂无
中图分类号
学科分类号
摘要
Quantum secret sharing (QSS) refers to the process in which the secret is divided into several sub-secrets and sent to different users utilizing quantum technology. Only the user belonging to a specific subset (authorized set) can reconstruct the initial secret correctly. In principle, the authorized set can regain the initial secret exactly via sub-secrets. However, when realizing QSS in practice, because of the interference of various noises, the secret obtained by the authorized set may not be consistent with the initial one. For a particular kind of QSS protocols, in which the bitwise XOR of sub-secrets is equal to the initial secret theoretically, we propose a feasible multiparty error-correcting method based on binary search technique and two-party Cascade error-correcting method. With this method, we can solve the problem that the authorized set cannot regain the initial secret correctly. Finally, we analyze the optimal block length, the amount of leaked information, and realize tripartite error-correcting method by experimental simulation.
引用
收藏
页码:21 / 31
页数:10
相关论文
共 84 条
  • [1] Hillery M(1999)Quantum secret sharing Phys. Rev. A 59 1829-1834
  • [2] Buzk V(1999)How to share a quantum secret Phys. Rev. Lett. 83 648-651
  • [3] Berthiaume A(2000)Theory of quantum secret sharing Phys. Rev. A 61 042311-168
  • [4] Cleve R(1999)Quantum entanglement for secret sharing and secret splitting Phys. Rev. A 59 162-195
  • [5] Gottesman D(2006)Multiparty quantum secret splitting and quantum state sharing Phys. Lett. A 354 190-2480
  • [6] Lo HK(2004)Efficient multiparty quantum-secret-sharing schemes Phys. Rev. A 69 052307-380
  • [7] Gottesman D(2010)Multiparty quantum secret sharing with Bell states and Bell measurements Opt. Commun. 283 2476-1306
  • [8] Karlsson A(2013)Multi-party quantum secret sharing with the single-particle quantum state to encode the information Quantum Inf. Process. 12 365-1139
  • [9] Koashi M(2013)Threshold quantum secret sharing between multiparty and multiparty using Greenberger–Horne–Zeilinger state Quantum Inf. Process. 12 1299-344
  • [10] Imoto N(2013)High-efficient quantum secret sharing based on the Chinese remainder theorem via the orbital angular momentum entanglement analysis Quantum Inf. Process. 12 1125-697