Quantum public-key signature scheme based on asymmetric quantum encryption with trapdoor information

Based on the quantum asymmetric encryption with trapdoor information, a quantum public-key signature scheme is proposed. In our scheme, the signer signs a message with his/her private key, while the verifier verifies the quantum signature with the corresponding quantum public key. The signer's private key and public key are asymmetric, and the signing algorithm and verifying algorithm are asymmetric as well. The security of the private key depends on the unconditionally secure deterministic quantum communication protocol rather than the classical one-way function. All the algorithms in our scheme are public. Hence, our scheme obeys Kerckhoffs's principle. Our scheme is secure against forgery, repudiation, and eavesdropping attacks. On the other hand, in our scheme, the verifier need not perform any quantum swap test. The signer's key pair can be reused due to the secrecy property of the private key. Compared with similar schemes, ours is relatively more secure and efficient.