title: Quantum secret sharing via local operations and classical communication.
abstract: 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.
authors.affiliation: 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.
authors.forename: Ying-Hui
authors.initials: YH
authors.lastname: Yang
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommu-nications, Beijing, 100876, China.
authors.forename: Fei
authors.initials: F
authors.lastname: Gao
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommu-nications, Beijing, 100876, China.
authors.forename: Xia
authors.initials: X
authors.lastname: Wu
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommu-nications, Beijing, 100876, China.
authors.forename: Su-Juan
authors.initials: SJ
authors.lastname: Qin
authors.affiliation: Mathematics and Information Science College, Hebei Normal University, Shijiazhuang, 050024, China.
authors.forename: Hui-Juan
authors.initials: HJ
authors.lastname: Zuo
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommu-nications, Beijing, 100876, China.
authors.forename: Qiao-Yan
authors.initials: QY
authors.lastname: Wen