论文标题
最佳位移阈值检测用于使用不完美设备区分二进制相干状态的阈值检测
Optimally Displaced Threshold Detection for Discriminating Binary Coherent States Using Imperfect Devices
论文作者
论文摘要
由于量子信息处理任务中的潜在应用，使用广义的肯尼迪接收器对二进制相干状态的歧视具有最大的后验概率（MAP）检测，近年来引起了人们的注意。在本文中，我们分析研究了在现实情况下具有最佳位移阈值检测（ODTD）的广义肯尼迪接收器的性能，并带有声音和不完美的设备。我们首先证明，通用肯尼迪接收器的地图检测等于在这种现实情况下的阈值检测。然后，我们分析ODTD的最佳阈值和最佳位移的特性，并提出一种启发式贪婪搜索算法以获取它们。我们证明，当信号功率较大时，ODTD会通过检测阈值脱离肯尼迪接收器，并且我们还阐明了具有阈值检测的广义肯尼迪接收器与单端口同源检测的连接。数值结果表明，所提出的启发式贪婪搜索算法比现有作品可以获得较低，更光滑的错误概率。
Because of the potential applications in quantum information processing tasks, discrimination of binary coherent states using generalized Kennedy receiver with maximum a posteriori probability (MAP) detection has attracted increasing attentions in recent years. In this paper, we analytically study the performance of the generalized Kennedy receiver having optimally displaced threshold detection (ODTD) in a realistic situation with noises and imperfect devices. We first prove that the MAP detection for a generalized Kennedy receiver is equivalent to a threshold detection in this realistic situation. Then we analyze the properties of the optimum threshold and the optimum displacement for ODTD, and propose a heuristic greedy search algorithm to obtain them. We prove that the ODTD degenerates to the Kennedy receiver with threshold detection when the signal power is large, and we also clarify the connection between the generalized Kennedy receiver with threshold detection and the one-port homodyne detection. Numerical results show that the proposed heuristic greedy search algorithm can obtain a lower and smoother error probability than the existing works.
