Bai Chen-Ming, Shu Ya-Xi, Zhang Sujuan
Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China.
Sci Rep. 2025 Mar 28;15(1):10819. doi: 10.1038/s41598-025-95608-4.
In this paper, a pair of quantum states are constructed based on an orthogonal array and further generalized to multi-body quantum systems. Subsequently, a novel physical process is designed, which is aimed at effectively masking quantum states within multipartite quantum systems. According to this masker, a new authenticable quantum secret sharing scheme is proposed, which can realize a class of special access structures. In the distribution phase, an unknown quantum state is shared safely among multiple participants, and this secret quantum state is embedded into a multi-particle entangled state using the masking approach. In the reconstruction phase, a series of precisely designed measurements and corresponding unitary operations are performed by the participants in the authorized set to restore the original information quantum state. To ensure the security of the scheme, the security analysis of five major types of quantum attacks is conducted. Finally, when compared with other quantum secret sharing schemes based on entangled states, the proposed scheme is found to be not only more flexible but also easier to implement based on existing quantum computing cloud platforms.
本文基于正交阵列构造了一对量子态，并进一步推广到多体量子系统。随后，设计了一种新颖的物理过程，旨在有效掩盖多体量子系统中的量子态。基于此掩蔽器，提出了一种新的可认证量子秘密共享方案，该方案可以实现一类特殊的访问结构。在分发阶段，一个未知量子态在多个参与者之间安全共享，并且这个秘密量子态使用掩蔽方法被嵌入到一个多粒子纠缠态中。在重构阶段，授权集中的参与者执行一系列精心设计的测量和相应的酉操作以恢复原始信息量子态。为确保该方案的安全性，对五种主要类型的量子攻击进行了安全分析。最后，与其他基于纠缠态的量子秘密共享方案相比，发现所提出的方案不仅更灵活，而且基于现有的量子计算云平台更容易实现。
