本文提出一种新颖的基于圆上单向量子游走(One-Direction Quantum Walks on a Circle，ODQWC)的量子安全多方求和协议，以环形方式传输量子游走态，在不泄密的前提下实现n位秘密持有者的不同整数序列的求和。本文协议采用两粒子乘积态而非量子纠缠态作为初始量子资源，仅要求不同秘密持有者对量子游走态施加单向演化算子，但不需要她们进行量子纠缠交换操作。另外，该协议仅需要进行单粒子测量。安全性分析表明，该协议可以抵抗外部攻击和参与者攻击，在特定条件下可转化为基于ODQWC的量子安全多方比特求和协议。
A quantum secure multi-party summation protocol based on one-direction quantum walks on a circle
This paper presents a novel quantum secure multi-party summation protocol based on one-direction quantum walks on a circle(ODQWC),which allows the summation computation of different integer sequences from"n"secret holders.Crucially,it ensures that this process does not infringe on the privacy of these secret holders by delivering quantum walk states in a circular pattern.Our proposed protocol employs two-particle product states rather than quantum entangled states as the initial quantum resource and eliminates the need for different secret holders to perform quantum entanglement swapping operations.Instead,it emphasizes imposing one-direction evolution operators on quantum walk states.Additionally,our protocol requires single-particle measurements.Security analysis validates that our proposed protocol can effectively counter external attacks and those initiated by participants.Under specific conditions,our proposed protocol can be adapted into a quantum secure multi-party bit summation protocol based on ODQWC.
quantum secure multi-party computationquantum secure multi-party summationone-direction quantum walks on a circleparticipant attack
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