无纠缠量子秘密共享中酉操作的选择

Selection of unitary operations in quantum secret sharing without entanglement

文中针对不使用纠缠态的量子秘密共享方案,提出了一种Bell态替换攻击策略,并定量分析了当量子秘密共享方案采用常见的几种酉操作组合时,这种攻击的最小失败概率,从而得到酉操作的选择和Bell态替换攻击效果之间的若干关系.对于量子秘密共享方案的设计和实施中,如何选择酉操作以保证通信安全的问题,文中的工作具有重要的指导作用.

We propose a substitute-Bell-state attack strategy for quantum secret sharing schemes without entanglement, as well as a definition of the minimum failure probability of such attack strategy.A quantitative analysis of security degrees corresponding to different unitary operations is also provided,when the secret sharing schemes without entanglement are stricken by substitute-Bell-state attack.As a result,the relation between the selection of unitary operations and the effect of substitute-Bell-state attack is shown,which can serve as an important guidance for the selection of unitary operations in designing and implementing quantum secret sharing schemes.