Yang Ying-Hui, Gao Fei, Wu Xia, Qin Su-Juan, Zuo Hui-Juan, Wen Qiao-Yan
State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommu-nications, Beijing, 100876, China.
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China.
Sci Rep. 2015 Nov 20;5:16967. doi: 10.1038/srep16967.
We investigate the distinguishability of orthogonal multipartite entangled states in d-qudit system by restricted local operations and classical communication. According to these properties, we propose a standard (2, n)-threshold quantum secret sharing scheme (called LOCC-QSS scheme), which solves the open question in [Rahaman et al., Phys. Rev. A, 91, 022330 (2015)]. On the other hand, we find that all the existing (k, n)-threshold LOCC-QSS schemes are imperfect (or "ramp"), i.e., unauthorized groups can obtain some information about the shared secret. Furthermore, we present a (3, 4)-threshold LOCC-QSS scheme which is close to perfect.
我们通过受限的局域操作和经典通信来研究d-量子位系统中正交多体纠缠态的可区分性。基于这些性质,我们提出了一种标准的(2, n)-阈值量子秘密共享方案(称为LOCC-QSS方案),该方案解决了[拉赫曼等人,《物理评论A》,91, 022330 (2015)]中的开放问题。另一方面,我们发现所有现有的(k, n)-阈值LOCC-QSS方案都是不完美的(或“斜坡式”),即未授权的群组可以获得一些关于共享秘密的信息。此外,我们提出了一种接近完美的(3, 4)-阈值LOCC-QSS方案。