量子系统的风险敏感最优控制
Risk-Sensitive Optimal Control of Quantum Systems
摘要：
反馈控制的重要性在量子物理和应用中越来越受到重视。本文描述了最优控制方法在量子反馈控制系统设计中的应用，特别是提出并解决了一个风险敏感的最优控制问题。由此产生的风险敏感的最优控制给出了一个新的未规范化的条件状态，其动态包括用于指定性能目标的成本函数。风险敏感的条件动力学方程描述了我们对量子系统的{ \em知识}的演化，这些知识被我们对受控量子系统的{ \em目的}所调和。讨论了风险敏感控制器的鲁棒性，并给出了一个例子。
英文摘要：
The importance of feedback control is being increasingly appreciated in quantum physics and applications. This paper describes the use of optimal control methods in the design of quantum feedback control systems, and in particular the paper formulates and solves a risk-sensitive optimal control problem. The resulting risk-sensitive optimal control is given in terms of a new unnormalized conditional state, whose dynamics include the cost function used to specify the performance objective. The risk-sensitive conditional dynamic equation describes the evolution of our {\em knowledge} of the quantum system tempered by our {\em purpose} for the controlled quantum system. Robustness properties of risk-sensitive controllers are discussed, and an example is provided.
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