基于d维三粒子纠缠态的量子投票表决方案

为了突破2维或3维Hilbert空间限制，本文结合投票表决的实际需求，基于Shamir（t，n）门限思想，提出了一个d维三粒子纠缠态的量子投票表决方案.该方案由投票管理中心、投票群组、监票人和计票人四个实体共同完成投票工作.该方案使用d维量子纠缠态增强了适用性，使用单粒子作为投票载体提升了传输效率.该方案的正确性通过在IBM量子云平台上的模拟仿真得以证实.安全性分析表明，该方案在满足投票方案的安全性需求基础上，能抵抗截获-测量-重发、纠缠测量和伪造攻击.性能分析表明，随着参与人数的增多，该方案比其他相似的投票方案具有更高的量子比特效率.

Quantum Voting Scheme Based on d Dimensional Three-Particle Entangled State

To break through the limitations of two-dimensional or three-dimensional Hilbert space,a quantum voting scheme based on d-dimensional three-particle entangled state was proposed,which was designed by using Shamir (t,n) threshold to meet the actual demand for voting.The scheme consists of four entities:the voting management center,the voting group,the scrutineer and the ballot counter,which work together to complete the voting.In this scheme,a d-dimensional quantum entanglement state is used to enhance the applicability,and the single particle is used as the voting carrier to improve the transmission efficiency.The correctness of the proposed scheme was verified by the experimental simulations on the IBM quantum cloud platform.Security analysis shows that the scheme meets the security requirements of voting schemes,and resists intercept-measure-resend attack,entangle-measure attack,and forgery attack.Performance analysis shows that with the increase of the number of participants,the scheme has higher qubit efficiency than other similar schemes.