基于量子中心的测量型量子保密求和协议

Measurement type quantum secure summation protocol based on quantum center

量子保密求和是量子安全计算的基础,目的是在保护参与者私有信息的前提下求出参与者秘密信息的和。提出一个基于GHZ类态的三方量子保密求和协议,其中只有量子中心拥有全量子能力,其余参与者只能对接收的量子态进行反射或测量。理论分析表明,所提出的协议可以确保正确性,即多个参与者最后可以成功计算他们秘密的和;同时,该协议还可以抵抗参与者攻击和外部攻击,即无论是外部攻击者还是内部参与者都不能获得除自己的秘密与结果之外的任何信息。最后,进一步讨论了如何将协议的参与者由三方拓展至多方。

Quantum secure summation is the basis of quantum secure computation,which aims to compute the sum of participants′secrets on the premise of protecting the participants′private information.A three-party quantum secure summation protocol based on GHZ-like states is proposed,in which only quantum center has full quantum capabilities,and the other participants can only reflect or measure the received quantum states.Theoretical analysis shows that the proposed protocol can ensure correctness,that is,multi-party can finally successfully calculate the sum of their secrets.At the same time,the protocol can also resist participant attacks and external attacks,that is,neither external attackers nor internal participants can obtain any information except their own secrets and results.Finally,how to expand the participants of the agreement from three-party to multi-party is further discussed.