Sharing a quantum secret without a trusted party

Authors:
Qin Li;Dong Yang Long;W. H. Chan;Dao Wen Qiu
Affiliations:
Department of Computer Science, Sun Yat-sen University, Guangzhou, China 510006 and Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, China;Department of Computer Science, Sun Yat-sen University, Guangzhou, China 510006;Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, China;Department of Computer Science, Sun Yat-sen University, Guangzhou, China 510006
Venue:
Quantum Information Processing
Year:
2011

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Abstract

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.