Mechanical quantum systems controlled

Daoyi Dong, Zonghai Chen

Quantum control theory is a new interdiscipline, which mainly concerns how to control quantum states of microsystems. To get better control results, it is necessary to study the modeling and simulation of the systems. With the consideration of the characteristics of quantum control, direct mechanism modeling and quantization modeling for quantum control systems are studied, and simulation of quantum control systems is also analyzed. Direct mechanism modeling uses the mechanism information of systems in quantum physics and suitably models some quantum control systems with the known mechanism. Quantization modeling makes the most of the corresponding relations between quantum operators and classical physical quantities, and uses the information of models in classical control to establish the corresponding models in quantum control.

En-Bing Lin

Pei-Lan Liu

The control of quantum multipartite mechanical systems is an emerging research topic in the quantum field due to the rapid development of technologies such as solid state physics and quantum optics. In this dissertation, we propose a quantum multi-channel decoupling methodology that facilitates the control of quantum multipartite mechanical systems and the design of complex quantum networks. Our approach uses bilinear input affine system models to express desired quantum control systems. This setting allows us to adopt various useful techniques from modern control theory, with some non-trivial modifications. In the quantum realm, we deal with the domain problem, and therefore the decoupling control of infinite-dimensional quantum systems is also included in our work. Our analysis is based on the operator algorithm, whose nature is the matrix operation. For quantum multipartite mechanical systems, the whole system's dimension is the product of all the single components' dimensions, yet in classical systems it is simply the sum of them. Thus, we use the tensor product method to analyze and design quantum multipartite mechanical systems. We give the conditions under which quantum multi-channel decoupling can be achieved and design the feedback control law.

G. Huang

Shuang Cong

Navin Khaneja

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.