  How to efficiently share secrets among multiple participants is a very
important problem in key management. In this paper, we propose a multi-secret
sharing scheme based on the GHZ state. First, the distributor uses monotone
span program to encode the secrets and generate the corresponding secret shares
to send to the participants. Then, each participant uses the generalized Pauli
operator to embed its own secret share into the transmitted particle. The
participant who wants to get the secrets can get multiple secrets at the same
time by performing a GHZ-state joint measurement. Futhermore, the scheme is
based on a monotone span program, and its access structure is more general than
the access structure (t,n) threshold. Compared with other schemes, our proposed
scheme is more efficient, less computational cost.
