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中国科学通报：英文版

Control problems in quantum systems

Rebing, Wu, Jing, Zhang, Chunwen, Li, Gui-Lu, Long, Tzyh-Jong, Tarn

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

过去的十年或二在量控制技术的理论和实践见证巨大的进步。衔接从基本粒子物理到纳米技术的不同科学学科，量控制的目标是开发有效、有效的工具因为普通分析和设计，而是更多将重要地为未来铺平道路工艺的应用程序。这篇文章简短从当模特儿，分析和图案的观点考察基本的量控制理论，以及考虑未来研究方向。

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过去的十年或二在量控制技术的理论和实践见证巨大的进步。衔接从基本粒子物理到纳米技术的不同科学学科，量控制的目标是开发有效、有效的工具因为普通分析和设计，而是更多将重要地为未来铺平道路工艺的应用程序。这篇文章简短从当模特儿，分析和图案的观点考察基本的量控制理论，以及考虑未来研究方向。
In this paper, a finite horizon H∞control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, the finite horizon H∞control problem for the class of linear quantum systems under consideration is solved for the case of delayed measurements by solving the finite horizon H∞control problem for an equivalent stochastic H∞control problem using some results from a corresponding deterministic problem following a dynamic game approach.
量动力学的高效的控制对量技术的发展关键。从设计到量计量学的量状态，量控制的理论和实践为未来启用柔韧、更便宜的技术工业应用程序。从基本 matterfield 相互作用开始，我们概述建模量控制系统，控制能被也在实现改变域或材料性质的各种各样的途径。这些模型及时被造或频率领域和罐头被互连形成量反馈网络。这评论能作为有用引用被拿让工程师理解量物理在后面，或物理学家从一个控制工程观点解决控制问题。
Control and manipulation of quantum mechanical systems using electromagnetic fields is a widely studied subject in areas of physics and chemistry, including spectroscopy, atomic molecular, and optical physics, and quantum chemistry.This article attempts to provide a glimpse into the rich class of bilinear control systems that are ubiquitous in these problems.In this article, we use control of spin systems in magnetic resonance as a model system to highlight characteristic feature of problems in quantum control.Background information is provided to enable the reader to appreciate new results and developments, where principled use of ideas from control theory have provided new insights into finding optimal ways to control and manipulate quantum mechanical systems.The study of deterministic and stochastic models that arise in problems in measurement and manipulation of quantum mechanical systems may foster new developments in control.
Finite Horizon H∞H^\inftyH∞ Control for a Class of Linear Quantum Measurement Delayed Systems: A Dynamic Game Approach
In this paper, a finite horizon H∞H^\inftyH∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, the finite horizon H∞H^\inftyH∞ control problem for the class of linear quantum systems under consideration is solved for the case of delayed measurements by solving the finite horizon H∞H^\inftyH∞ control problem for an equivalent stochastic H∞H^\inftyH∞ control problem following a dynamic game approach.
为量状态轨道在量系统的 Liouville 方程追踪密度矩阵，在在量系统控制的概念的帮助下，一个人能两个都把单一的转变用于控制系统和免费进化的目标系统例如把时间变体和非静止的目标系统变成一个静止状态。因此，追踪问题的量状态轨道成为驾驶的。转变的系统的州的驾驶控制法律借助于 Lyapunov 稳定性定理被设计。最后，数字模拟实验为一个五水平的精力量系统被给。原来的系统轨道与另外的方法追踪的比较分析在建议的方法的控制时间说明优点。