基于多项式插值的量子密钥协调协议：无信息泄漏的纠错
A Polynomial Interpolation based Quantum Key Reconciliation Protocol: Error Correction without Information Leakage
摘要：
在这项工作中，我们提出了一种新的量子密钥分发（QKD）的密钥协调协议。基于牛顿多项式插值，该协议的目的是纠正所有错误的比特在接收机不透露信息的窃听。我们提供了准确的帧出错率（FER）的建议协议的表达式。所提出的算法的固有性质，确保纠正所有错误的位，如果算法成功。我们提出了一个信息理论证明，在关键的协调过程中所透露的信息等于零。我们还提供了一个数值比较，我们的算法的渐近性能的纠错码和两个示例性的低密度奇偶校验（LDPC）码。结果表明，无论Alice和Bob之间的距离如何，与LDPC码相比，我们的算法都提供了优越的性能。此外，所提出的密钥协调协议是可用于更长的量子链路距离比国家的最先进的协议。
英文摘要：
In this work, we propose a novel key reconciliation protocol for the quantum key distribution (QKD). Based on Newton's polynomial interpolation, the proposed protocol aims to correct all erroneous bits at the receiver without revealing information to the eavesdropper. We provide the exact frame error rate (FER) expression of the proposed protocol. The inherent nature of the proposed algorithm ensures correcting all erroneous bits if the algorithm succeeds. We present an information-theoretical proof that the revealed information during the key reconciliation process is equal to zero. We also provide a numerical comparison of our algorithm with the asymptotic performance of the error-correcting codes and two exemplary low-density-parity-check (LDPC) codes. The results highlight that our algorithm provides superior performance when compared to the LDPC codes, regardless of the distance between Alice and Bob. Furthermore, the proposed key reconciliation protocol is usable for the longer quantum link distances than the state-of-the-art protocols.
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