基于d级量子系统相互无偏基的量子安全多方求和及其应用

Quantum secure multiparty summation based on the mutually unbiased bases of d-level quantum systems and its application

本文提出一种新颖的基于d级量子系统相互无偏基的量子安全多方求和协议.n个秘密持有者通过变换操作将自己的秘密编码在相互无偏基量子态上,以环形模式将其进行传输.安全性分析表明,所提出的协议能抵抗外在攻击和参与者攻击.本文协议适用于d级量子系统,采用整数加整数技术计算模d和,相比于采用比特加比特计算的量子安全求和协议,会具有更高的计算效率;相比于求和模较小的量子安全求和协议,会具有更广泛的应用.而且,这个协议能被用于量子多方隐私比较和量子多方匿名投票.

In this paper,a novel quantum secure multiparty summation protocol is proposed based on the mutually unbiased bases of d-level quantum systems.The quantum states of mutually unbiased bases,which are transmitted in a circular pattern,are imposed with the transformation operations of n secrecy owners to encode their secrecies.Security analysis reveals that the proposed protocol can resist outside attacks as well as participant attacks.The proposed protocol is suitable for dlevel quantum systems and can calculate the modulo d addition using the integer-by-integer technique.Compared with the quantum secure summation protocols with bit-by-bit calculations,the proposed protocol has a higher calculation efficiency and has more extensive applications compared with the protocols with smaller modulo.Moreover,this protocol can be successfully used for quantum multiparty private comparison and quantum multiparty anonymous voting.