An efficient quantum secret sharing scheme based on orthogonal product states

We propose an efficient quantum secret sharing scheme with orthogonal product states in the 3×3 Hilbert space. Different from Hsu and Li's scheme [Phys. Rev. A 71, 022321 (2005)], this scheme utilizes a novel distribution strategy which sends the qutrits of basis states and superpositions to two separated observers respectively. The theoretical analysis shows that the intrinsic efficiency for qutrits in this scheme approaches 100% and the total efficiency of this scheme is higher than that of the aforementioned scheme. Furthermore, the security and some possible eavesdropping strategies are also examined in this paper.