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.
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机译：我们提出了一种在3×3 Hilbert空间中具有正交乘积态的有效量子秘密共享方案。不同于许和李的方案[Phys。 Rev. A 71，022321（2005）]，该方案利用了一种新颖的分配策略，该策略将基本状态和叠加的四元组分别发送给两个独立的观察者。理论分析表明，该方案的Quut的内在效率接近100％，该方案的总效率高于上述方案。此外，本文还研究了安全性和一些可能的窃听策略。
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