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The deniable authentication and designated verifier signature protocol can achieve the property of deniability by a transcript simulation algorithm, so two protocols are similar in the concepts and application scenarios. In this paper, we will avoid the research ideas of classical cryptography and research how to convert quantum deniable authentication protocol into quantum designated verifier signature in this universal case that the owner of the signature and the signer isn't the same user in quantum designated verifier signature scheme such as electronic ID cards and e-passports. A mode on converting quantum deniable authentication into quantum designated verifier signature is firstly proposed by introducing quantum signature with public verifiability, including the entities and the implementation process converting, and then a real quantum designated verifier signature scheme is proposed, which satisfies all security requirements of a designated verifier signature scheme and can withstand intercept-resend attack and impersonation attack and entangle-measure attack.
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