A Hybrid Quantum Secret Sharing Scheme Based on Mutually Unbiased Bases

Abstract

AbstractWith the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing schemes have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and monotone span program. First, a dealer sends the shares in the linear secret sharing to the participants in the authorization set via a secure channel. Then, the dealer and participants perform unitary transformation on a d-dimensional quantum state sequentially, and the dealer publishes the measurement result confidentially to the participants in the authorization set to recover the secret. The verifiability of the scheme is guaranteed by the Hash function. Next, the correctness and security of the scheme are proved and our scheme is secure against the general eavesdropper attacks. Finally, a specific example is employed to further clarify the flexibility of the scheme and the detailed comparisons of similar quantum secret sharing schemes also show the superiority of our proposed scheme.The scheme realizes quantum secret sharing under the access structure with one qudit and different influence of the participants, which saves quantum resources and makes it more flexible and convenient in practical applications.KeywordsQuantum secret sharingMutually unbiased basesVerifiabilityAccess structure