Local distinguishability of Dicke states in quantum secret sharing

We comprehensively investigate the local distinguishability of orthogonal Dicke states under local operations and classical communication (LOCC) from both qualitative and quantitative aspects. Based on our work, defects in the LOCC-quantum secret sharing (QSS) scheme can be complemented, and the information leakage can be quantified. For (k1,k2,k,n)-threshold LOCC-QSS scheme, more intuitive formulas for unambiguous probability and guessing probability were established, which can be used for determining the parameter k1 and k2 directly.