A multiparty quantum proxy group signature scheme for the entangled-state message with quantum Fourier transform

摘要

A novel multiparty quantum proxy group signature scheme is proposed based on the discrete quantum Fourier transform in order to improve the efficiency and the security of quantum signature for an n-dimensional quantum message, in which the generation and verification of the signature can be successfully conducted only if all the n participants cooperate with each other and with the message owner’s, the receiver’s and the arbitrator’s help. The quantum parallel algorithm is applied to efficiently compare the restored quantum message to the original quantum message both of which contain a large amount of information. All the operations in signing and verifying phase can be executed in quantum circuits. The analysis shows that our scheme is more efficient than other traditional quantum signature schemes, and a secure quantum proxy group signature can be achieved effectively for a contract that needs the cosigner of multi participants. It has a wide application to E-payment system, Online contract, Online notarization and etc.