论文标题
量子系统的稳定性分析：Lyapunov标准和不变性原理
Stability Analysis of Quantum Systems: a Lyapunov Criterion and an Invariance Principle
论文作者
论文摘要
在本文中，我们提出了一种Lyapunov稳定性方法，以分析量子系统密度算子的收敛性。在类似于马尔可夫过程的经典概率度量中，我们表明一组不变密度运算符既封闭又是凸。然后，我们展示如何通过候选Lyapunov操作员分析该集合的稳定性。我们通过引入量子系统动力学的Barbashin-Krasovskii-la Salle定理的类似物来完成对一组不变密度运算符的分析。
In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In analog to the classical probability measure for Markovian processes, we show that the set of invariant density operators is both closed and convex. We then show how to analyze the stability of this set via a candidate Lyapunov operator. We complete our analysis of the set of invariant density operators by introducing an analog of the Barbashin-Krasovskii-La Salle theorem on the dynamics of quantum systems.
