论文标题
用于反馈稳定开放量子系统的模型鲁棒性
Model robustness for feedback stabilization of open quantum systems
论文作者
论文摘要
本文概括了[30]中关于在没有有关初始状态和参数的知识的情况下，在接受量子非解析测量值（QND）的N级量子角度动量系统（QND）的n级量子角动量系统（QND）中概括了结果。在这里，我们考虑了多个测量运算符，并研究了对所选目标子空间的稳定化，这是测量算子的常见特征空间。在QND条件下，我们表明该分析提供了必要的工具来确保基于状态为n维向量的简化过滤器的反馈稳定。 [18]中提出了数值分析。本文为在反馈稳定中使用简化过滤器提供了完整的证明。这具有重要的实际用途，因为量子系统的尺寸通常很高。本文为缺乏近似过滤器的稳定反馈的稳定性打开了有关稳定反馈的鲁棒性的通道。
This paper generalizes the results in [30] concerning feedback stabilization of target states for N-level quantum angular momentum systems undergoing quantum non-demolition measurements (QND) in absence of the knowledge about initial states and parameters. Here we consider multiple measurement operators and study the stabilization toward a chosen target subspace which is a common eigenspace of measurement operators. Under the QND conditions, we show that this analysis provides necessary tools to ensure feedback stabilization based on a simplified filter whose state is a N-dimensional vector. A numerical analysis has been proposed in [18]. This paper provides a complete proof for the use of a simplified filter in feedback stabilization. This has important practical use as the dimension of quantum systems is usually high. This paper opens the way toward a complete proof concerning the robustness of a stabilizing feedback with respect to approximate filters, which is lacking.
