Abstract: A quantum secret sharing scheme based on cluster states is proposed. The sender encodes the classical secret on cluster states by Pauli operation and the receivers recover secret information by joint measurement. It inserts EPR pairs as decoy states into the sequences of state to prevent eavesdropping. It is showed that this protocol is secure to resist attacks of intercept-measurement, intercept-resend and entanglement-measurement by security analysis. At the same time, one cluster state with four particles can share four bits of classical information, such that qubit efficiency goes to100%.

Key words: quantum secret sharing, cluster states, EPR pairs, decoy states, qubit efficiency

摘要： 提出了一个基于团簇态的量子秘密共享方案，发送者通过Pauli操作将经典秘密信息编码在团簇态上进行分发，接收者通过联合测量实现秘密共享。协议插入EPR对作为诱骗态以防止窃听，通过安全性分析证明本协议是安全的，可以抵抗截获-测量、截获-重发和纠缠-测量攻击。此外，协议传输一个四粒子团簇态可以共享四个经典比特信息，量子比特效率达到100%。

关键词: 量子秘密共享, 团簇态, EPR对, 诱骗态, 量子比特效率