Public-key quantum signature for classical messages without third-party verification

Based on quantum asymmetric cryptosystem, a public-key quantum signature for classical messages is proposed. In our scheme, the private key is randomly chosen by signer, and the public key is generated by the trusted key generator using the quantum one-way function. The signer signs a message with the private key, while the verifier can use the public key to verify the quantum signature without the help of third party. The signer’s key pair can be reused. Hence, our scheme can simplify the key management of the quantum signature system. Security analysis results show that the proposed scheme satisfies unforgeability and non-repudiation. All the algorithms in our scheme are public. Compared to similar schemes, ours is relatively more secure and can be easily applied to practical scenarios.