Abstract: In order to resist the forgery attack of weak blind signature, a double weak blind signature scheme is proposed based on the quantum entanglement exchange principle. The scheme is completed by initializing, message blindness, double blind signature and verification by the sender, signer and verifier. Sender send message after the blind to the signer, the signer with quantum controlled not gate to produce blind signature and perform the Bell state measurement, the sender with quantum measurement of the original message signature again, to be checked twice signature verification respectively, and remove blind to restore the original message. If a participant disputes the results of the signature verification, the trusted signer will arbitrate the dispute. Analysis shows that when the key to meet even a constant is 1, the method not only can resist external attack, and can effectively prevent the sender tampered with, to satisfy the weak blind signature unforgeable, non-repudiation, blind and traceability requirements. This scheme has broad application prospect in electronic commerce, electronic currency and other Internet transactions.

Key words: quantum optics, weak blind signature, quantum entanglement, Bell State, entanglement swapping