基于Cluster态的n位量子态共享方案  

Cluster based n-bit quantum state sharing scheme

作　　者：夏红红 汪学明[1] 杨万鑫 XIA Hong-hong;WANG Xue-ming;YANG Wan-xin(College of Computer Science and Technology,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学计算机科学与技术学院,贵州贵阳550025

出　　处：《计算机工程与设计》2020年第6期1547-1552,共6页Computer Engineering and Design

基　　金：国家自然科学基金项目([2011]61163049);贵州省自然科学基金项目(黔科合J字[2014]7641)。

摘　　要：为达到n位量子态秘密共享的目的,建立四粒子Cluster态和五粒子Cluster态的量子信道,提出两个量子秘密共享方案。Cluster态与其它纠缠态(W态和GHZ态)不同,相比最大纠缠态,其在某些方面具有很好的稳定性,且实验容易制备。两个方案均只用两次bell测量。第一个方案中,重构者只需对所持有的粒子进行相应的幺正变换即可;第二个方案引入一个辅助粒子最后实施CNOT操作就可恢复原始秘密。对于任意量子态的共享方案,都可以根据需要将最终量子态通过相应的量子线路得到所需要恢复的初始量子态。在安全性方面,分析外部攻击和内部攻击,得到所提出的方案是安全的。To realize secret sharing of n-bit quantum states,quantum channels of four-particle Cluster state and five-particle Cluster state were established,and two schemes of secret sharing of quantum states were proposed.Cluster state is different from other entangled states(W state and GHZ state),it has better stability than the maximum entangled state in some aspects,and the experiment is easy to prepare.Both schemes adopted only two bell measurements.In the first scheme,the reconstructors only needed to carry out corresponding unitary transformation to the particles they hold.The second solution involved introducing an auxiliary particle and implementing the CNOT operation to restore the original secret.For the sharing scheme of any quantum state,the final quantum state was transferred through the corresponding quantum circuit to get the initial quantum state that needed to be restored.In terms of security,the external attack and internal attack were analyzed,which showed the security of the proposed method.

关 键 词：量子态共享 Cluster态 CNOT操作 幺正操作 量子线路 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]