量子庞特里亚金原理在连续测量与反馈下的应用
Quantum Pontryagin Principle under Continuous Measurements and Feedback
AI总结：
本文研究了在连续测量与反馈条件下量子庞特里亚金原理的理论发展，提出了在统计矩坐标中基于薛定谔图和海森堡图的庞特里亚金最大原理，并开发了更适合控制应用的LQG方案。
摘要：
在本笔记中，我们发展了在连续测量与反馈下的量子庞特里亚金原理的理论。分析是在输出通道兼容事件的假设下进行的。被控对象是一个通常处于混合态的量子系统，与连续测量通道耦合。庞特里亚金最大原理在薛定谔图和海森堡图中都被推导出来，特别是在统计矩坐标中。为了避免求解随机方程，我们开发了一种更适用于控制目的的LQG方案。
英文摘要：
In this note we develop the theory of the quantum Pontryagin principle for continuous measurements and feedback. The analysis is carried out under the assumption of compatible events in the output channel. The plant is a quantum system, which generally is in a mixed state, coupled to a continuous measurement channel. The Pontryagin Maximum Principle is derived in both the Schrödinger picture and Heisenberg picture, in particular in statistical moment coordinates. To avoid solving stochastic equations we derive a LQG scheme which is more suitable for control purposes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
