Research On Quantum Multi-proxy Scheme Based On Controlled Quantum Teleportation

With the upgrading of communication technology and the rapid development of quantum computing theory,the issue of information security has become increasingly prominent.As an important guarantee of information security,digital signature has received wide attention for its ability to ensure the authenticity,integrity and nonrepudiation of information transmission.The security of classical signature schemes relies on the assumptions of mathematical intractable problems such as factorization of large number and discrete logarithms.However,the proposed Shor algorithm makes the classical digital signature schemes face unprecedented challenges,so the research on quantum signature schemes is imperative.Quantum multi-proxy signature scheme,as an important branch of quantum signature scheme,combines the physical properties of quantum with the advantages of multi-proxy signature,which can effectively solve the difficulties caused by the original signer being unable to sign the message for some reasons.Since quantum teleportation has the special advantage of transmitting quantum states over long distances,this paper applies it to the multiproxy signature schemes and proposes two multi-proxy signature schemes based on controlled quantum teleportation.(1)A multi-proxy signature scheme using five-qubit entangled state based on controlled quantum teleportation is proposed.As a quantum channel,the five-qubit maximum entangled state is the qubit threshold required by quantum error correction,which can ensure the robustness of the scheme.At the same time,the scheme uses quantum Fourier encryption algorithm to improve the quantum efficiency.The security analysis shows that the scheme is unforgerable and undeniable,and can resist the intercept-resend attacks.(2)A quantum multi-proxy blind signature scheme based on Bell state is proposed.In this scheme,the Bell state is used as quantum channel and quantum Fourier transform is used to encrypt information,which improves quantum efficiency.Security analysis shows that the scheme blinds the original information so that it can neither be denied by the signer nor forged by any illegal attacker.In addition,the scheme is resistant to intercept-resend attacks.