05865904

j

05865904 Li, Qin Long, Dong Yang Chan, W.H. Qiu, Dao Wen Sharing a quantum secret without a trusted party. Quantum Inf. Process. 10, No. 1, 97-106 (2011). 2011 Springer, Dordrecht EN quantum secret sharing quantum cryptography quantum information processing quantum communication

doi:10.1007/s11128-010-0180-3

Summary: In a conventional quantum $(k, n)$ threshold scheme, a trusted party shares a secret quantum state with $n$ participants such that any $k$ of those participants can cooperate to recover the original secret, while fewer than $k$ participants obtain no information about the secret. In this paper we show how to construct a quantum $(k, n)$ threshold scheme without the assistance of a trusted party, who generates and distributes shares among the participants. Instead, each participant chooses his private state and contributes the same to the determination of the final secret quantum state.