论文标题

水下通道中量子密钥分布的性能分析

Performance Analysis of Quantum Key Distribution in Underwater Channels

论文作者

Raouf, Amir Hossein Fahim

论文摘要

当前有关量子密钥分布(QKD)的文献主要限于光纤,大气或卫星链路上的传输,并且不直接适用于具有不同通道特征的水下环境。在水下通道中经历的吸收,散射和湍流严重限制了量子通信链接的范围。在本文的第一部分中,我们分析了水下通道中众所周知的BB84协议的量子位错误率(QBER)和秘密关键率(SKR)性能。作为路径损失模型,我们考虑了啤酒 - 兰伯特公式的修改版本,该版本考虑了散射的效果。我们得出波浪结构函数的封闭形式表达式,以确定湍流水下路径上的平均功率传递,并使用它来获得QBER上的上限以及SKR上的下限。在本文的第二部分中,作为克服范围限制的潜在解决方案,我们研究了一个多跳下水下QKD,其中源和目标节点之间的中间节点有助于键分布。我们考虑了被动继电器的部署,这些继电器只需将Qubits重定向到下一个继电器节点或接收器而无需任何测量。基于近场分析,我们在不同的水类型和湍流条件下,根据QBER和SKR介绍了继电器辅助QKD方案的性能。在本文的最后一部分中,我们研究了诱饵BB84方案对湍流的水下通道的基本性能限制,并提供了全面的性能表征。基于近场分析,我们利用波浪结构函数来确定湍流水下路径上的平均功率传递,并使用它来获得关键发电率的下限。基于这种结合,我们介绍了不同水类型的诱饵BB84方案的性能。

The current literature on quantum key distribution (QKD) is mainly limited to the transmissions over fiber optic, atmospheric or satellite links and are not directly applicable to underwater environments with different channel characteristics. Absorption, scattering, and turbulence experienced in underwater channels severely limit the range of quantum communication links. In the first part of this thesis, we analyze the quantum bit error rate (QBER) and secret key rate (SKR) performance of the well-known BB84 protocol in underwater channels. As path loss model, we consider a modified version of Beer-Lambert formula which takes into account the effect of scattering. We derive a closed-form expression for the wave structure function to determine the average power transfer over turbulent underwater path and use this to obtain an upper bound on QBER as well as a lower bound on SKR. In the second part of this thesis, as a potential solution to overcome range limitations, we investigate a multi-hop underwater QKD where intermediate nodes between the source and destination nodes help the key distribution. We consider the deployment of passive relays which simply redirect the qubits to the next relay node or the receiver without any measurement. Based on the near-field analysis, we present the performance of relay-assisted QKD scheme in terms of QBER and SKR in different water types and turbulence conditions. In the last part of this thesis, we investigate the fundamental performance limits of decoy BB84 protocol over turbulent underwater channels and provide a comprehensive performance characterization. Based on near field analysis, we utilize the wave structure function to determine the average power transfer over turbulent underwater path and use this to obtain a lower bound on key generation rate. Based on this bound, we present the performance of decoy BB84 protocol in different water type.

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