论文标题
线性量子系统的连贯均衡
Coherent Equalization of Linear Quantum Systems
论文作者
论文摘要
本文引入了$ h_ \ infty $ - 类似于被动线性量子系统均衡的连贯过滤方法，以帮助减轻量子通信通道的退化效应。对于包括各种线性量子光学设备和信号的系统，我们试图找到一个近乎最佳的均衡过滤器，该过滤器本身就是一个被动量子系统。该问题等于解决优化问题，但要受到均衡器在物理上可实现的要求所决定的约束。通过在频域中制定这些约束，我们表明问题允许凸$ H_ \ infty $类似于公式。这使我们能够使用$ j $ spectral分解来得出一组次优连贯的均衡器。表现出一种额外的半芬太尼弛豫，结合了Nevanlinna-Pick插值，可导致一种可拖动的算法，用于设计接近最佳的相干均衡器。
This paper introduces a $H_\infty$-like methodology of coherent filtering for equalization of passive linear quantum systems to help mitigate degrading effects of quantum communication channels. For such systems, which include a wide range of linear quantum optical devices and signals, we seek to find a near optimal equalizing filter which is itself a passive quantum system. The problem amounts to solving an optimization problem subject to constraints dictated by the requirement for the equalizer to be physically realizable. By formulating these constraints in the frequency domain, we show that the problem admits a convex $H_\infty$-like formulation. This allows us to derive a set of suboptimal coherent equalizers using $J$-spectral factorization. An additional semidefinite relaxation combined with the Nevanlinna-Pick interpolation is shown to lead to a tractable algorithm for the design of a near optimal coherent equalizer.
