论文标题
最佳概率量子控制理论
Optimal probabilistic quantum control theory
论文作者
论文摘要
关于原子和分子尺度系统的知识是一个基本限制。这种模糊性并不总是归因于测量行为。其他贡献因素包括系统参数不确定性，起源于输入函数的功能不确定性以及传感器的噪声，以提及一些。这种不确定性导致了原子量表系统准确控制方法开发的主要挑战。为了解决这些系统的概率和不确定性质，这项工作提出了一个新的控制框架，该框架考虑了系统量子状态的表示，并在概率方法下量化其物理特性。我们的框架是完全概率的。它使用信息理论的香农相对熵来设计最佳的随机控制器，这些控制器可以实现原子量表系统的预期结果。进行了几项实验，以说明拟议方法的适用性和有效性。
There is a fundamental limit to what is knowable about atomic and molecular scale systems. This fuzziness is not always due to the act of measurement. Other contributing factors include system parameter uncertainty, functional uncertainty that originates from input functions, and sensors noises to mention a few. This indeterminism has led to major challenges in the development of accurate control methods for atomic scale systems. To address the probabilistic and uncertain nature of these systems, this work proposes a novel control framework that considers the representation of the system quantum states and the quantification of its physical properties following a probabilistic approach. Our framework is fully probabilistic. It uses the Shannon relative entropy from information theory to design optimal randomised controllers that can achieve a desired outcome of an atomic scale system. Several experiments are carried out to illustrate the applicability and effectiveness of the proposed approach.
