Research On Quantum Aggregate Signature Scheme Based On Quantum Teleportation

With the progress and development of emerging science and technology,the demand for information security is becoming more and more urgent.Aggregate signature scheme plays an increasingly important role,which is very effective in reducing storage,communication and computing costs.However,its security depends on the assumption of some difficult problems,such as large integer factoring,discrete logarithm problems and so on.With the development of quantum computing theory,the classical digital signature scheme has met unprecedented challenges,which further promotes the development of quantum signature.Quantum aggregate signature schemes combine the advantages of quantum mechanical principles with the advantages of aggregate signatures,and have attracted much attention from scholars.However,it is still a challenging task to design a secure and efficient quantum aggregate signature scheme.Based on the above situation,this paper designs three quantum aggregate signature schemes.The main contents of this paper are as follows:(1)A quantum aggregate signature scheme based on quantum teleportation using four-qubit cluster state is proposed.The security analysis shows that the scheme can neither be disavowed by the signers nor forged by any illegal attackers.In addition,the intercept-resend attack is invalid in the scheme.(2)An aggregate signature scheme based on quantum teleportation is proposed,which uses EPR pairs as quantum channel.The security analysis shows that the scheme is non-repudiation and unforgeable,and the entanglement measurement attack is invalid.(3)A quantum aggregate signature scheme based on superposition state is proposed,which uses the superposition principle of quantum states to ensure the security of information transmission.The security analysis shows that the scheme is unforgeable and undeniable,and the entanglement measurement attack is invalid.The performance analysis results show that the quantum aggregate signature scheme is lower than the related quantum aggregate signature schemes in communication cost.