Genuine secret-sharing states

Quantum secret sharing allows each player to have classical information for in quantum mechanical ways. In this work, we construct a class of states on which players can quantumly perform secure against dishonest as well eavesdropper. We here call them the genuine secret-sharing states. addition, show that if $N$ share an $N$-party state, then arbitrary $M$ out total $M$-party state by means local operations and communication state. also define distillable rate with respect explain connection between relative entropy entanglement.