Research On Quantum Signature Based On Cluster States

With the rapid development of computer and Internet technology,the problem of information security becomes more and more serious.Digital signature technology is widely used in military,communication,e-commerce,e-government and other fields because of its integrity,authentication and non-repudiation.Most of the classical digital signature schemes are based on mathematical problems such as factoring and discrete logarithm.With the continuous improvement of the computing power of human beings,as well as the quantum parallel algorithm of Shor factorization,the security of cryptographic algorithms based on computational complexity is severely challenged.In this context,scholars at home and abroad have turned their attention to quantum cryptography.At present,quantum cryptography is the combination of cryptography and quantum mechanics,and its security is guaranteed by the basic principles of quantum mechanics.Scholars at home and abroad have carried out research on quantum cryptography,and constantly developed various branches of quantum cryptography.In many branches of quantum cryptography,quantum key distribution is the most mature.In addition,scholars at home and abroad have done in-depth research on quantum secret sharing and quantum secure direct communication,and achieved fruitful results.Research shows that quantum cryptography is likely to become an important force in the next generation of cryptography.As an important branch of quantum cryptography,quantum signature attracts more and more attention from experts and scholars.Compared with W state and GHZ state,cluster states have a stronger ability to maintain entanglement.In view of this,this paper studies the quantum signature based on cluster states,and obtains some results:(1)In this paper,we propose an arbitrated quantum signature scheme based on cluster state.The cluster entangled state in the protocol is not only used for quantum key distribution,but also for quantum signature.And we also achieve a 100% efficiency.Security analysis shows that the proposed scheme can meet the requirement of non-repudiation and non-forgery.(2)In this paper,based on the starlike cluster state,a theoretically extensible quantum signature scheme is proposed.Theoretically can be extended to multiple participants.And it does not have the requirements of certified quantum channels,long-term quantum storage.Finally,the security of the proposed protocol is analyzed.(3)In the aspect of quantum blind signature,a blind signature scheme based on cluster state is proposed,in which the message owner is blind to the message first,and then the signer signs it.Security analysis shows that the proposed scheme satisfies the characteristics of blind signature,non-repudiation and non-forgery.