Rational quantum secret sharing scheme based on GHZ state

In this paper, a new rational quantum secret sharing scheme based on GHZ state is proposed. It realizes the secret sharing among n agents by encoding the secret with the link between measurement base and measurement result. Comprehensive security analysis shows that our presented scheme can defend eavesdropping attack, entanglement attack and collusion attack. Moreover, it is also proved that the new protocol can achieve correctness, fairness, strict Nash equilibrium and k-resilient equilibrium, which are required by rational secret sharing protocol. Compared with the existing rational quantum secret sharing schemes, our scheme is simple and can achieve stronger balance. Besides, it is feasible in practical application since a relevant protocol has been recently implemented on the IBM quantum computer.