量子理性秘密共享方案的分析与改进

Analysis and Improvement of Secret Sharing Scheme of Quantum Rationality

本文分析了Maitra等人的量子理性秘密共享方案。针对方案中存在的问题,即参与者猜中正确秘密的概率大于预设值,本文利用新的秘密分发方式,提出了一个改进协议,可以从根本上令参与者猜中正确秘密的概率小于或等于预设值。分析表明,改进后的方案将满足理性秘密共享中的公平性、正确性和纳什均衡。

There is a problem in Maitra's quantum rational secret sharing scheme,that is,the probability of participants guessing the correct secret is greater than the preset value.In order to solve this problem,this paper proposes an improved scheme.By using the new secret distribution method,the improved scheme can make the probability of participants guessing the correct secret less than or equal to the preset value.The theoretical analysis of the improved scheme shows that the improved scheme will satisfy the fairness,correctness and Nash equilibrium in rational secret sharing.