  To detect frauds from some internal participants or external attackers, some
verifiable threshold quantum secret sharing schemes have been proposed. In this
paper, we present a new verifiable threshold structure based on a single qubit
using bivariate polynomial. First, Alice chooses an asymmetric bivariate
polynomial and sends a pair of values from this polynomial to each participant.
Then Alice and participants implement in sequence unitary transformation on the
$d$-dimensional quantum state based on unbiased bases, where those unitary
transformations are contacted by this polynomial. Finally, security analysis
shows that the proposed scheme can detect the fraud from external and internal
attacks compared with the exiting schemes and is comparable to the recent
schemes.
