Efficient multiparty quantum-secret-sharing schemes

NASA Astrophysics Data System (ADS)

In this work, we generalize the quantum-secret-sharing scheme of Hillery, Bužek, and Berthiaume [

Phys. Rev. A 59, 1829 (1999)] into arbitrary multiparties. Explicit expressions for the shared secret bit is given. It is shown that in the Hillery-Bužek-Berthiaume

quantum-secret-sharing scheme the secret information is shared in the parity of binary strings formed by the

measured outcomes of the participants. In addition, we have increased the

efficiency of the

quantum-secret-sharing scheme by generalizing two techniques from

quantum key distribution. The favored-

measuring-basis

quantum-secret-sharing scheme is developed from the Lo-Chau-Ardehali technique [

H. K. Lo, H. F. Chau, and M. Ardehali, e-print quant-ph/0011056] where all the participants choose their

measuring-basis asymmetrically, and the

measuring-basis-encrypted

quantum-secret-sharing scheme is developed from the Hwang-Koh-Han technique [

W. Y. Hwang, I. G. Koh, and Y. D. Han, Phys. Lett. A 244, 489 (1998)] where all participants choose their

measuring basis according to a control key. Both schemes are asymptotically 100% in

efficiency, hence nearly all the Greenberger-Horne-Zeilinger states in a

quantum-secret-sharing process are used to generate shared secret information.

Xiao, Li; Lu Long, Gui; Deng, Fu-Guo; Pan, Jian-Wei

2004-05-01