中文摘要：

首次研究了量子有序多重数字签名问题．提出的方案借鉴经典有序多重数字签名模型，利用量子纠缠交换来实现消息的签名与验证，并依赖量子密钥和一次一密算法来保证方案的安全．本方案除了不受签名用户数量限制外，还选择Bell态光子为信息载体，因此签名每bit消息所需的光子数较少且易于实现．

英文摘要：

The quantum sequential multi-signature scheme is researched first. The proposed scheme refers the model of the classical sequential multi-signature, employs quantum entanglement swapping to implement the message signature and its authentication as well as relies on quantum key distribution and one-time pad algorithm to guarantee perfect security. The proposed scheme supports infinite amounts of signatories,in addition,it chooses Bell-state photons as the information carder, which means fewer photons are need to sign one bit message and be easier to realize.