Robust control of quantum systems is an increasingly relevant field of study amidst the second quantum revolution, but there remains a gap between taming quantum physics and robust control in its modern analytical form that culminated in fundamental performance bounds. With certain exceptions such as quantum optical systems that can be modeled as linear stochastic differential equations, quantum systems are not amenable to linear, time-invariant, measurement-based robust control techniques, and thus novel gap-bridging techniques must be developed. This survey is written for control theorists to provide a review of the current state of quantum control and outline the challenges faced in trying to apply modern robust control to quantum systems. We present issues that arise when applying classical robust control theory to quantum systems, typical methods used by quantum physicists to explore such systems and their robustness, as well as a discussion of open problems to be addressed in the field. We focus on general, practical applications and recent work to enable control researchers to contribute to advancing this burgeoning field.

中文翻译：

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封闭和开放系统中的稳健量子控制：理论与实践


在第二次量子革命中，量子系统的鲁棒控制是一个越来越相关的研究领域，但在驯服量子物理学和现代分析形式的鲁棒控制之间仍然存在差距，最终导致了基本的性能界限。除了某些例外，例如可以建模为线性随机微分方程的量子光学系统，量子系统不适合线性、时间不变、基于测量的鲁棒控制技术，因此必须开发新的间隙桥接技术。本调查是为控制理论家编写的，旨在回顾量子控制的现状，并概述尝试将现代稳健控制应用于量子系统所面临的挑战。我们介绍了将经典鲁棒控制理论应用于量子系统时出现的问题、量子物理学家用来探索此类系统及其鲁棒性的典型方法，以及该领域需要解决的开放问题的讨论。我们专注于一般、实际应用和最近的工作，使控制研究人员能够为推动这一新兴领域的发展做出贡献。