基于Greenberger-Horne-Zeilinger态的量子公平盲签名方案

Fair Quantum Bind Signature Scheme Based on Greenberger-Horne-Zeilinger States

通过使用Greenberger-Horne-Zeilinger态和经典哈希函数,提出一个量子公平盲签名方案.在该方案的初始化阶段,可信的仲裁者分别与盲签名者和接收者共享一个GHZ态序列和秘钥序列.在签名阶段,根据签名者和接收者对各自手中的GHZ态粒子的测量结果,签名者产生一个经典信息的盲量子签名.在验证阶段,根据GHZ态的关联性,仲裁者能够验证盲签名的合法性.最后,如果签名者和接收者对之前签订的消息有争议,仲裁者将在链接恢复阶段通过对签名的追溯来解决这个问题.本文还对该方案的安全性进行分析,结果表明它能满足公平盲签名的安全性要求,即不可伪造性、不可否认、盲性和可追踪性.

In this paper, by using Greenberger-Horne-Zeilinger （GHZ） states and a classical hash function, a fair quantum blind sig- nature scheme is proposed. In the initializing phase of the scheme, the trusted arbitrator shares a sequence of GHZ states and secret keys with the blind signer and the receiver respectively. In the signing phase, the signer generates the blind quantum signature of a classical message, according to the measurement results that the signer and the receiver measure the particles at their hands. Then, in the verification phase, the arbitrator is able to verify the validity of the blind signature in terms of the GHZ correlation. Finally, in the link - recovery phase, if the signer and the receiver have some disputes on a message signed before, the arbitrator will be evolved to solve it. Moreover, we also analyze the security of the scheme and show that it can satisfy the security requirements of the fair blind signature, i. e, non-forgeability, non-deniability, blindness and traceability.