| With the continuous development of quantum mechanics and quantum algorithms,classical cryptography is facing more and more threats.As an important branch of classical cryptography,the security of digital signature mainly depends on the assumptions of some unproved and difficult problems,such as factorization of large numbers,elliptic curve discrete logarithm problem,etc.However,due to the improvement of people’s computing power and the introduction of shor algorithm,the classical digital signature is faced with severe challenges.Therefore,it is imperative to study the quantum signature scheme with unconditional security.As a special unitary operation,rotation transform has high efficiency and security when applied to quantum signature schemes.Therefore,the quantum signature scheme based on rotation transformation has important research value.Based on the above,this paper designs two quantum signature schemes based on rotation transformation,namely quantum group blind signature scheme based on rotation transformation and arbitrated quantum signature scheme based on rotation transformation.The main research contents of this paper are as follows:(1)A quantum group blind signature scheme based on rotation transformation is proposed.The scheme combines the rotation transformation with quantum group blind signature,and uses the rotation transformation to sign the message on the quantum superposition state,which makes the communication cost of the scheme lower.The security analysis shows that the scheme has both unforgeability and nonrepudiation,and can not be attacked by any external attacker.In addition,the scheme can resist collusion attacks between signers.Efficiency analysis shows that the scheme has high efficiency.(2)An arbitrated quantum signature scheme based on rotation transformation is proposed.In this scheme,an arbitrator is introduced to replace the key generation center,and the key is generated through negotiation between the arbitrator and each participant.Among them,the arbitrator needs to carry out some operations of the verification process to make the scheme more secure.The security analysis shows that the scheme is undeniable and unforgeable.At the same time,collusion attack and entanglement measurement attack between signers are invalid for this scheme. |
