一种带作弊识别的动态(t,n)门限量子秘密共享方案  

A Dynamic(t,n)Threshold Quantum Secret Sharing Scheme with Cheating Identification

作　　者：郭建胜[1] 关飞婷 李志慧 GUO Jiansheng;GUAN Feiting;LI Zhihui(School of Mathematics and Statistics,Shaanxi Normal University,Xi’an 710119,China)

机构地区：[1]陕西师范大学数学与统计学院,西安710119

出　　处：《信息网络安全》2024年第5期745-755,共11页Netinfo Security

基　　金：国家自然科学基金[12071271]。

摘　　要：文章基于齐次线性反馈移位寄存器(Linear Feedback Shift Register,LFSR)序列和d维单量子态提出了一种带作弊识别的动态(t,n)门限量子秘密共享方案。在该方案中,可信的分发者确定共享的秘密,并为参与者分配份额,参与者对传输中的粒子执行相应的酉操作来恢复秘密。在秘密重建阶段,通过执行量子态数字签名,不仅可以检测到作弊行为,还可以识别具体的作弊者并将其删除,最终参与者可以验证恢复秘密的正确性。该方案可以在不更改旧参与者份额的前提下,无需其他参与者的帮助便可实现参与者的动态更新。安全性分析表明,该方案能够抵抗常见的外部攻击和内部攻击。Based on homogeneous linear feedback shift register(LFSR)sequences and d-dimensional single quantum states,this paper proposed a dynamical(t,n)threshold quantum secret sharing scheme with cheating identification.In this scheme,a trusted dealer determined the shared secret and distributed shared to the participants,and the participants recovered the secret by performing the corresponding unitary operation on the transmitted particles.In the secret reconstruction phase,by performing quantum state digital signatures,not only the existence of cheating behavior could be detected,but also the specific cheater could be identified and removed,and finally the participants could verify the correctness of the recovered secret.The scheme allowed dynamic updating of participants without changing the shares of old participants and without the help of other participants.Security analysis shows that the scheme is resistant to common external and internal attacks.

关 键 词：量子秘密共享 动态更新 作弊识别 量子态数字签名 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]