The generalization of the quantum-secret-sharing (QSS) of Hillery, Bužek and Berthiaume (HBB) into arbitrary multiparties was analyzed. It was observed that in the HBB QSS scheme the secret information is shared in the parity of binary strings formed by the measured outcomes of the participants. The favored-measuring-basis QSS scheme was developed from the Lo-Chau-Ardehali technique where all the participants choose their measuring-basis asymmetrically. The measuring-basis-encrypted QSS scheme was developed from the Hwang-Koh-Han technique where all participants choose their measuring basis according to a control key. The results show that both schemes are asymptotically 100% in efficiency.
Xiao Li;Long Gui Lu;Deng Fu-Guo;Pan Jian-Wei
Physical Review A Atomic Molecular and Optical Physics