Quantum-secret-sharing scheme based on local distinguishability of orthogonal multiqudit entangled states
Jingtao Wang, Lixiang Li, Haipeng Peng, Yixian Yang · Physical Review A · 2017
In this study, we propose the concept of judgment space to investigate the quantum-secret-sharing scheme based on local distinguishability (called LOCC-QSS). Because of the proposing of this conception, the property of orthogonal mutiqudit entangled states under restricted local operation and classical communication (LOCC) can be described more clearly. According to these properties, we reveal that, in the previous ($k,n$)-threshold LOCC-QSS scheme, there are two required conditions for the selected quantum states to resist the unambiguous attack: (i) their $k$-level judgment spaces are orthogonal, and (ii) their ($k\ensuremath{-}1$)-level judgment spaces are equal. Practically, if $k