The Research Of Quantum Signature Based On Quantum Cryptography

Abstract:Signature that enables to protect information is an essential technology in the field of information. It has been widely employed in various applications, such as daily lives, military, government, whose security depends much on the intractability of factoring large numbers or solving discrete logarithms. However, it may be faced with the enormous challenges and even broken completely when a powerful quantum computer becomes available someday. And with the continuous improvement of safety awareness, the classical signature has been unable to meet the growing security needs. Therefore, in order to guarantee the security of signature scheme even against attackers with unlimited analogs of digital signature scheme, researchers and scholars turn to investigate quantum signature, which is supposed to provide the message neither be disavowed by the signatory nor be forged by the receiver or a possible attacker by using fundamental quantum features including the quantum entanglement, Heisenberg uncertainly principle and the no-cloning theorem.On the basis of these elegant physical characteristics, two quantum signature schemes is proposed, one is quantum group signature based on the Chinese Remainder Theorem. Chinese remainder theorem is a group of congruence equations with simple form and fast solving such that we can achieve rapid signature. This feature will be used in quantum signature to improve the speed of compute and the security of the signature scheme. The other is an arbitrated quantum signature scheme based on hyperchaotic quantum cryptosystem. This scheme designate an improved quantum chaotic encryption algorithm which has several distinguishing characteristics, such as the sensitive dependence on initial conditions and system parameters, pseudo-random property, nonperiodicity and topological transitivity, etc. These characteristics meet several requirement of the security such as diffusion and mixing in cryptosystem. Through analysis of the performance of these two schemes prove that two quantum signature scheme satisfies undeniable, non-repudiation and unforgeability these three requirements. In a word, our scheme is shown to be unconditionally secure.