论文标题

多方量子限制与D级单粒子状态的尺寸关系的私人比较

Multi-party quantum private comparison of size relation with d-level single-particle states

论文作者

Ye, Chong-Qiang, Ye, Tian-Yu

论文摘要

在本文中,通过使用D级单粒子状态,分别构建了两个新型的多方量子私人比较方案,用于尺寸关系比较与两个半honest第三方和一个半honest第三方的比较。在这里,每个协议可以比较n方的秘密整数的大小关系,而不仅仅是在一次执行中的平等。在每个协议中,每个第三方都被认为是半honest的,因为她可能自己表现不佳,但不允许与其他任何人相交。每个方都采用Qudit转换操作来编码她的秘密整数。每个协议都可以抵抗外部攻击和参与者攻击。特别是,各方的秘密整数可能是其他各方和第三方都不知道的。在陌生人的环境中,与两个第三方的拟议协议是可行的,因为每对政党之间没有通信,也没有预共享键。在熟人环境中,与第三方提议的协议是可行的,因为各方都需要事先共享一个共同的私钥。

In this paper, by using d-level single-particle states, two novel multi-party quantum private comparison protocols for size relation comparison with two semi-honest third parties and one semi-honest third party are constructed, respectively. Here, each protocol can compare the size relation of secret integers from n parties rather than just the equality within one time execution. In each protocol, every third party is assumed to be semi-honest in the sense that she may misbehave on her own but is not allowed to collude with anyone else; and each party employs the qudit shifting operation to encode her secret integer. Each protocol can resist both the outside attack and the participant attack. Specially, each party's secret integer can be kept unknown to other parties and the third parties. The proposed protocol with two third parties is workable in a stranger environment, as there are no communication and no pre-shared key between each pair of party. The proposed protocol with one third party is workable in an acquaintance environment, as all parties need to share a common private key beforehand.

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