基于一类受限存取结构上的量子秘密共享方案  

Quantum Secret Sharing Schemes Based on a Class of Restricted Access Structures

作　　者：李志慧 罗双双 韦性佳 LI Zhihui;LUO Shuangshuang;WEI Xingjia(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》2023年第8期32-40,共9页Netinfo Security

基　　金：国家自然科学基金[12071271]。

摘　　要：文章利用GHZ纠缠态的量子关联性设计了一个基于受限存取结构上的多方量子秘密共享方案。在方案中,首先,参与者被分成两个互不相交的子集,d维GHZ态的3个粒子作为信息载体,两个互不相交子集中的参与者分别持有GHZ态的第二和第三粒子,这些参与者将其秘密份额隐藏在经酉变换作用的量子态中;然后,子集中的参与者通过经典模型辅助可恢复秘密;最后,该方案与同类型方案相比,更节省量子资源,方案更简单,效率更高。In this paper,a multi-party quantum secret sharing based on a restricted access structure was designed using the quantum correlation of GHZ entangled state.In this paper,firstly,the participants were divided into two mutually disjoint subsets with three particles of the d-dimensional GHZ state as information carriers,and the participants in the two mutually disjoint subsets held the second and third particles of the GHZ state,respectively,and these participants hide their secret shares in quantum states which were acted the unitary transformations.Then,the participants in the subsets recovered the secret with the aid of the classical model.Finally,this scheme is more economical in terms of quantum resources compared to the same type of schemes,and the scheme is simpler and more efficient.

关 键 词：存取结构 单调张成方案 量子秘密共享 GHZ态 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]