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Computer Engineering and Applications Journal

Cluster state quantum entangled signature scheme

Wang Yu-wu

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

A scheme of using Cluster quantum entangled state to quantum signature is presented.Cluster state of the program is used as a quantum channel,and each group of quantum bit string signed by Alice is distributed to Alice,notaries TA and inspection signer Bob.The way of loading message is that Alice does transformation operation on the first qubit unitary respectively,and the Bell measurement results of quantum bits are the signature of a message.Bob does the Bell measurement on the corresponding two-qubit to verify the signature,but it must be restricted by the notary TA.It is verified that Cluster state entanglement properties of entangled state,security,local operators have better performance.

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A scheme of using Cluster quantum entangled state to quantum signature is presented.Cluster state of the program is used as a quantum channel,and each group of quantum bit string signed by Alice is distributed to Alice,notaries TA and inspection signer Bob.The way of loading message is that Alice does transformation operation on the first qubit unitary respectively,and the Bell measurement results of quantum bits are the signature of a message.Bob does the Bell measurement on the corresponding two-qubit to verify the signature,but it must be restricted by the notary TA.It is verified that Cluster state entanglement properties of entangled state,security,local operators have better performance.
In this paper an arbitrated quantum signature scheme based on entanglement swapping is proposed. In this scheme a message to be signed is coded with unitary operators. Combining quantum measurement with quantum encryption, the signer can generate the signature for a given message. Combining the entangled states generated by the TTP's Bell measurement with the signature information, the verifier can verify the authentication of a signature through a single quantum state measurement. Compared with previous schemes, our scheme is more efficient and less complex, furthermore, our scheme can ensure the anonymity of the signer.
A scheme of using four-qubit cluster state as quantum channel(QC)to convey the quantum state information is proposed to realize two-way communication.In this scenario,two sides of communication,Alice and Bob,share a four-qubit cluster state.In the process of communication,at first,four-qubit cluster state form a whole system with quantum state information two sides have.Then,Alice and Bob perform Bell-state joint measurements to their own part qubits respectively,and tell the measured results to each other via classical channel(CC).Finally,according to the measured results,Alice and Bob make corresponding unitary transformations,hence its own party can reappear the opposite quantum state information.So two-way communication of quantum state information is achieced.
An arbitrated quantum signature scheme based on entanglement swapping is proposed in this paper. On the foundation of Bell states, the message to be signed is coded with a unitary sequence, and consequently the unitary sequence is used to calibrate the Bell states between the signer and the arbitrator, finally the signature is generated through quantum cryptography. Using the correlation states generated through entanglement swapping on the arbitrators side, the receiver can verify the signature through Bell measurement on his own side. In this scheme, anyone except the authentic signer cannot forge a legal signature and the true receiver cannot deny his recipient because the security of underling quantum cryptography and the participantsprivacy are effectively protected in this scheme.
In this paper, based on multi-arbitrators and the product states, a new quantum signature scheme (QSS) is proposed. In our scheme, two arbitrators are used to share private keys with the signer. The signer encodes the bit message into orthogonal product states, which are locally indistinguishable. Then, to produce the signature, the signer signs the product states with the key-controlled Hadamard operator and Y operator. Our scheme has the good virtues as follows. First, our signature not only has the security property of unforgeability, but also has the property of strong non-repudiation. Second, when signing a message and verifying a signature, the partners do not need to prepare or transmit any entangled particle. Third, the partners do not need to perform the state comparison algorithm. Fourth, the signer does not need to share any private key with the signature verifier. For our scheme, the signer only shares two private keys with the arbitrators. At last, in our scheme, the repudiation can be flexibly solved. Compared with the other schemes with semi-trusted arbitrator, ours has better performances in security, practicability and efficiency.
We present a scheme for teleporting an unknown, two-particle entangled state with a message from a sender (Alice) to a receiver (Bob) via a six-particle entangled channel. We also present another scheme for teleporting an unknown one-particle entangled state with a message transmitted in a two-way form between the same sender and receiver via a five-qubit cluster state. One-way hash functions, Bell-state measurements, and unitary operations are adopted in these two schemes. Our schemes use the physical characteristics of quantum mechanics to implement delegation, signature, and verification processes. Moreover, a quantum key distribution protocol and a one-time pad are adopted in these schemes.
A novel quantum dual signature scheme, which combines two signed messages expected to be sent to two diverse receivers Bob and Charlie, is designed by applying entanglement swapping with coherent states. The signatory Alice signs two different messages with unitary operations (corresponding to the secret keys) and applies entanglement swapping to generate a quantum dual signature. The dual signature is firstly sent to the verifier Bob who extracts and verifies the signature of one message and transmits the rest of the dual signature to the verifier Charlie who verifies the signature of the other message. The transmission of the dual signature is realized with quantum teleportation of coherent states. The analysis shows that the security of secret keys and the security criteria of the signature protocol can be greatly guaranteed. An extensional multi-party quantum dual signature scheme which considers the case with more than three participants is also proposed in this paper and this scheme can remain secure. The proposed schemes are completely suited for the quantum communication network including multiple participants and can be applied to the e-commerce system which requires a secure payment among the customer, business and bank.