The Research Of Secure Quantum Digital Signature Protocols

With the rapid development of information society,information interaction has become an indispensable part of today's society.Information security,as the most prominent problem in information exchange,has been widely concerned by the society.However,with the application of quantum computers with high computing power in real life,the security of traditional cryptography will face unprecedented challenges.Fortunately,the quantum signature,which is corresponding to the traditional signature,ensures the unconditional security of quantum signature by using its special physical properties,such as quantum entanglement,Heisenberg uncertainty principle and quantum non-cloning theorem.The research of this thesis is based on the quantum mechanical properties.The following is the main contents:1.Quantum broadcast multiple blind signature with constant size.In this scheme,the message owner does not limit the specific signature order of the signers.After the signers generate the corresponding individual signatures,the signature collector organizes the individual signatures to generate the multiple blind signature.Finally,the verifier performs the verification operation to verify the validity of the multi-signature.In order to improve the validity and security of quantum broadcasting multiple blind signature protocol,this scheme uses the aggregation properties of homomorphic signature,combines with the principle of quantum entanglement swapping to aggregate the individual signatures,and some participants need to open the corresponding information in the verification process,through this way,this scheme can resist collusion attack.Comparing with the existing quantum broadcast multiple blind signature schemes,the length of the signature formed by the scheme is a specific constant which is independent with the number of signers.Through security analysis,the security of the protocol and the validity of the signature are proved.2.Quantum ordered multiple blind signature with constant size.In this scheme,the message owner specifies the specific order of the message signers.The signers must generate the individual signatures in accordance with the specific sequence.In addition to the first signer in the signature sequence,the subsequent signers must perform the appropriate validation on the validity of the signature that they have received.And on the basis of the validation for the signature,the signer generates the corresponding signature and sends the signature to the subsequent signers.Finally,the signature verifier verifies the validity of the multi-signature.In this paper,combines with the aggregation properties of quantum entanglement swapping and homomorphic signature,this scheme improves the existing quantum ordered multi-signature schemes,so that the length of the signature is a specific constant and does not change with the number of signers.Through the security analysis of the scheme,it is proved that the scheme can achieve unconditional security.