Quantum blind dual-signature scheme based on cluster states

Motivated by the elegant structure of the cluster states, we design an ingenious quantum blind dual-signature scheme, which is implemented by the way of measurement on the cluster sates and can solve some secure information problems between the consumers, merchants, and banks in electronic transaction. In this paper, the initial phase, the signing phase and the verification phase are included. In the signing phase, not only does Alice send a signature to Bob, but Charlie also sends a blind signature to Bob to generate a quantum dual signature. In the verification phase, Bob determines the authenticity and integrity of the information based on the results of the final measurements. The security analysis demonstrates that our signature scheme cannot be forged and denied by any attackers. Importantly, it has a variety of applications to electronic commerce or electronic payment system.