Arbitrated quantum signature scheme with quantum teleportation by using two three-qubit GHZ states

Abstract

Arbitrated quantum signature (AQS) scheme based on quantum teleportation has better flexibility and practicability. In this paper, we propose an arbitrated quantum signature scheme with quantum teleportation by using two three-qubit GHZ states. It has been proved that a cluster state has a maximal persistence when compared with an entangled state, and it is also more robust against decoherence. To resist against Alice’s disavowals or Bob’s (outside attacker’s) repudiation, two secret quantum key strings are pre-shared and two random numbers are introduced. The security analysis results show that our AQS scheme can make sure about the impossibility of disavowals by the signer Alice and repudiations by the verifier Bob, and the impossibility of forgeries by any illegal attacker. In addition, the proposed scheme does not require the complex quantum measurement operation, only Bell state measurements, projective measurements and unitary operation are needed to recover the arbitrary two-qubit state, which is the message copy from the signer Alice to the verifier Bob, and that is an appealing advantage in the implementation of a practical quantum communication network.