Quantum Group Proxy Blind Signature And Quantum Auction

Digital signature is an important branch of modern cryptography,which has been widely used in electronic commerce,democratic election,testament and so on.Digital signature can realize the functions of identity authentication,data integrity protection,undeniable service and so on.In the traditional sense,the security of in-formation mainly relies on the classical cryptography.With the rapid development of quantum technology and the improvement of quantum computer,the classical cryptography,which relies on the computational complexity of various mathemati-cal problems,will become unsafe.At present,many researchers have focused their attention on the research of quantum signature scheme.Since it is based on the physical properties of quantum mechanics,its unconditional security is fully guar-anteed by quantum mechanics,so it can make up for the security deficiencies of ordinary digital signatures.In this thesis,we design a group proxy blind signature scheme,a secure sealed-bid auction scheme and an english auction scheme.The main results are as follows:1.We introduced the concept and development status of quantum signature,including the definition,classification,security requirements of signature and so on.Then combined with the actual demand,a group proxy blind signature scheme based on quantum teleportation is proposed.In this property,the quantum key distribution and quantum one-time pad are used to guarantee the security.Analysis result shows that the property satisfies blindness,unforgeability,undeniablity and unconditional security,meanwhile,it can resist some attacks.2.We designed a sealed-bid auction scheme.Every bidder can submit their prices secretly.The bidder who bids the highest wins and he should pay the amount of it.Our scheme satisfies security requirements,in comparison with previous prop-erties,it is convenient to add a member to the auction group and remove a member from the group,bidders can modify their prices before a deadline,so,our scheme is more efficient.3.We proposed a quantum english auction scheme,it is fair to every bidder,their privacy can be protected well.Meanwhile,it is not bounded by the number of participants.