具有噪声GHZ态的会议密钥协商和经典秘密的量子共享
Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States
摘要：
我们提出了一个广泛的类蒸馏方案的多体纠缠态的CSS状态。我们的建议不仅提供了优越的效率，但也有新的见解CSS状态和二分图状态之间的连接。然后，我们考虑我们的蒸馏计划的应用程序的两个密码任务-即（a）会议密钥协议和（b）量子共享的经典秘密。特别是，我们构建“测量和测量”协议。研究了这些协议的收益率和协议安全运行的保真度阈值。令人惊讶的是，我们的协议将安全地运行，即使初始状态不违反标准的GHZ状态的贝尔不等式。实验实现只涉及二分纠缠也提出了建议。
英文摘要：
We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph states. We then consider the applications of our distillation schemes for two cryptographic tasks--namely, (a) conference key agreement and (b) quantum sharing of classical secrets. In particular, we construct ``prepare-and-measure'' protocols. Also we study the yield of those protocols and the threshold value of the fidelity above which the protocols can function securely. Surprisingly, our protocols will function securely even when the initial state does not violate the standard Bell-inequalities for GHZ states. Experimental realization involving only bi-partite entanglement is also suggested.
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