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A Novel Error Correction Scheme In Quantum Key Distribution (Qkd) Protocol

机译：量子密钥分配（Qkd）协议中的新型纠错方案

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Ideally, in any quantum key distribution (QKD) communication system, each sifted key is expected to be received without error. However in practice, due to infeasibility of generating pure single photon and device impairment problem, some of the sifted key may experience errors. This results to the increment of quantum bit error rate (QBER) that requires error reconciliation for correcting error. The main concept in error reconciliation is very much related to the capability of correcting all errors while minimizing eavesdrop information. The quantum error correcting code such as Hamming code which used in Winnow protocol is found to be more attractive. However the Winnow protocol can only correct one error out of seven bits. Adopting this classical error correcting code, an improved reconciliation scheme namely Siao Ping 1985 (SP 1985) protocol is proposed in this paper to correct more errors in faster pace without additional formulation for the overall simplicity criterion. This research is aimed at building up efficiency and effectiveness of reconciliation of the robust BB84 protocol in coping with noise interference. The proposed SP 1985 reconciliation protocol utilizes a pair of forward and reverse order syndromes for error pattern recognition. It is carried out in a simple structure which can correct up to double erroneous bits and detect four erroneous bits for each seven bits. Therefore, it is sufficient to deliver the desirable outcome after investigating its capability by correcting two errors out of seven bits compared to Winnow protocol. Its effectiveness can be measured based on simulation result which leads to reducing the QBER.
机译：理想地，在任何量子密钥分发（QKD）通信系统中，每个经过筛选的密钥都应无错误地接收到。但是在实践中，由于无法生成纯单光子和设备损坏问题，某些经过筛选的密钥可能会遇到错误。这导致量子误码率（QBER）的增加，这需要纠错以校正错误。错误协调的主要概念与纠正所有错误同时最小化窃听信息的能力密切相关。发现在Winnow协议中使用的量子错误校正码（例如汉明码）更具吸引力。但是，Winnow协议只能纠正7位中的一个错误。采用这种经典的纠错码，本文提出了一种改进的和解方案，即Siao Ping 1985（SP 1985）协议，可以以更快的速度纠正更多的错误，而无需为总的简单性标准进行额外的表述。这项研究旨在建立强大的BB84协议调和的效率和有效性，以应对噪声干扰。提议的SP 1985协调协议利用一对正序和逆序校验子对进行错误模式识别。它以简单的结构执行，可以校正多达两倍的错误位，并为每七个位检测四个错误位。因此，与Winnow协议相比，在通过校正七个位中的两个错误来研究其结果之后，足以提供理想的结果。可以根据仿真结果来衡量其有效性，从而降低QBER。

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