Authenticable quantum multi-secret sharing scheme based on monotone span program

Abstract

Quantum multi-secret sharing plays a vital role in secure multi-key management. In this paper, an authenticable quantum multi-secret sharing scheme based on monotone span program is proposed. In our scheme, the distributor/participants run a quantum state digital signature algorithm to identify dishonest participants, strengthening the proposed scheme’s security. During the reconstruction phase, the participants encode their shares onto the generalized Bell states with the generalized Pauli operator to reconstruct multiple secrets. Here, the phase shift operator is utilized to share d-dimensional quantum states. Furthermore, security analysis shows that the proposed scheme can resist the entangle-measure attack, intercept-resend attack, and common internal attacks such as forgery attack, collusion attack, and denial attack.