System Of Linear Quantum Optics Lqg Coherent Control

Quantum control is a new and developing interdiscipline which mainly studies the quantum state control problem of a microscopic system. With the development of science and technology, especially the development of nanotechnology,genetic engineering and bond selective chemistry, the investigating system tends to be more and more microcosmic. The mechanics governing the systems evolution has transferred from Newton Mechanics to Quantum Mechanics. As the classical control theory could not meet the demand of the quantum control system, we need to establish a new quantum control theory to guide the quantum state control problem.The main content of this thesis is coherent LQG control of a linear quantum optical system, where the controlled plant is quantum optical component and the state space model is established by quantum stochastic differential equation, which is similar to the classical counterpart, and then the controller is designed. All the work in this thesis is conducted on the basis of quantum optil system and QSDEs. The main parts are as follows:(1)Introducing the background of quantum control theory, the main research content, characteristics and the present situation of quantum experiments.(2)Reviewing some rudimentary knowledge we need in quantum control, including foundation of mathematics,physics and control theory.(3)Adopting the quantum system ( S , L ,H ) model to deduce the state space model in creation-annihilation operator representation. Some optical components in common used quantum optical system as well as ( S , L ,H ) counterpart are introduced ( S , L ,H ). Meanwhile, the relation between composite system and sub-system is found after cascade connection. Certain LQG performance enhancing techniques are obtained, such as directing coupling,phase modulation.(4)Provide two representation of quantum optical system, creation-annihilation operator representation and position-momentum operator representation. The physical realization condition is derived inn position-momentum operator representation.(5)Provide an integrated LQG controller design procedure. LMIs algorithm and genetic algorithm are used to calculate the coefficient matrix in the controller state space model. The stability and LQG performance index are also verified.