一种新型的可改进的量子秘密共享方案是在A.C.A.Nascimento等人提出的一种改进的量子秘密共享方案(简称IQSS方案)的基础上提出的,新方案较IQSS方案可实现更多的量子存取结构。进一步地,在理论上证明了所有的超星量子存取结构均可由这一新型的量子秘密共享方案实现。作为应用,给出了参与者人数至多为4的所有最优限制量子存取结构共10个,其中9个可以用新方案实现。
A new improvable quantum secret sharing scheme which is based on an improvable quantum secret sharing scheme (IQSS scheme) proposed by A. C. A. Nascimento et al. is proposed and it can realize more quantum access structures compared with the IQSS scheme. Furthermore, we prove that all hyperstar quantum access structures can be realized by our scheme in theory. As an application, a total of ten optimal restriction quantum access structures are giv- en for the number of participants at up to 4, and it is proved that 9 of them can be realized by using the new scheme.