Efficient quantum secret sharing based on special multi-dimensional GHZ state

An efficient quantum secret sharing scheme based on multi-dimensional GHZ state is proposed. The dealer performs the special unitary operation on the special n-dimensional n-particle GHZ state to encode the secret, and uses the distinguishability of two nonorthogonal basis to protect the secret, but the participants can get the secret through measuring the state in either basis. So every particle can be used to bring secret information, and the utilization ratio of the particles is much higher than the BB84 protocol. Besides, the multi-dimensional particle can bring more information than the traditional 2-dimensional particle. Compared to the existing schemes based on the BB84 protocol, our scheme will be more efficient in practice.