This study proposes a dynamic quantum secret sharing (DQSS) protocol based on the measurement property of Bell states and the Greenberger–Horne–Zeilinger (GHZ) state. In the existing DQSS protocols, the dealer requires the revoked agent to resend the shadow of the secret key and check the correctness of the shadow key. However, in the proposed DQSS protocol, the agents do not need to generate photons or perform any local unitary operation that can obtain the shadow of the secret key by performing an X-basis measurement on single photons. The proposed DQSS protocol is more efficient and practical than the existing DQSS protocols, because it only generates two-particle quantum entanglements, which are simpler than multi-particle quantum entanglements. Moreover, in the proposed DQSS protocol, if an agent needs to be revoked from the system, the dealer only needs to perform the GHZ measurement on the sequences of the remaining agents. Further, the proposed DQSS protocol is immune to eavesdropping, collusion, and dishonest revoked agent attacks.

中文翻译：

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基于钟形状态的高效安全的动态量子秘密共享协议

这项研究基于贝尔状态和格林伯格－霍恩－泽林格（GHZ）状态的测量特性，提出了一种动态量子秘密共享（DQSS）协议。在现有的DQSS协议中，经销商要求被撤销的代理重新发送密钥的影子并检查影子密钥的正确性。但是，在提出的DQSS协议中，代理不需要生成光子或执行任何可以通过执行X获得密钥的影子的局部单一操作。-单光子的基础测量。提出的DQSS协议比现有的DQSS协议更有效和实用，因为它只生成两个粒子的量子纠缠，这比多粒子的量子纠缠更简单。此外，在提出的DQSS协议中，如果需要从系统中撤消代理商，则经销商仅需要对其余代理商的序列执行GHZ测量。此外，提出的DQSS协议不受窃听，串通和不诚实的吊销代理攻击的影响。