针对多人参与签名的情况,提出了一种量子签名方案。 发送方利用Hash函数得到任意位经典消息的摘要信息, 并将该摘要信息转化为量子比特。签名各方用自己的私钥与经典消息的摘要信息进行异或运算, 运用所得序列依次对该量子比特做幺正变换,将变换后的量子比特作为签名信息。签名的验证工作 由一个可信赖的仲裁执行,验证过程引入了奇偶校验原理。分析表明,该方案所产生的签名信息不 会因为签名人数的增多而变长,具有较高的通信效率,并且验证过程简单。

A quantum signature scheme is proposed for multiple people signature situation. The digest of the classical message of any length is obtained via Hash function and transformed into quantum bits in the sender. Each signatory uses his private key XOR the digest and gets a sequence. The quantum bits are performed a controlled unitary transformation according to the sequence by the signatory in turn, and signature information is state of the quantum bits. A trusted arbitrator is presented to verify the signature. The progress of verification uses idea of classical parity. Analysis shows that the length of the signature doesn’t get longer with the number of signatory increased in the scheme. The communication efficiency is high, and the progress of verification is simple.