Abstract: Tavakoli et al used the related cyclical properties of unbiased bases to give a quantum secret sharing scheme in the odd prime dimensional quantum systems. This paper gives the corresponding unbiased bases and unitary transformation for the quantum system in 9-dimensional quantum systems, and then constructs a [(N,N)] secret sharing scheme, and analyzes the security of this scheme.

Key words: quantum secret sharing, unbiased base, unitary matrix

摘要： Tavakoli等人利用无偏基的有关循环性质给出了奇素数维上的量子秘密共享方案。针对[9]维上的量子系统给出了相应无偏基，基于这些无偏基的性质构造了相应酉变换，进而构造了一个[(N,N)]门限秘密共享方案，并分析了方案的安全性。

关键词: 量子秘密共享, 无偏基, 酉矩阵