This lecture will survey the area of quantum control engineering. It will discuss models for quantum systems using both the Schrodinger and Heisenberg pictures of quantum mechanics including finite level quantum systems and continuous linear quantum systems. It will also discuss the open loop quantum control of quantum systems including robust and learning based approaches. In addition, it will discuss closed loop approaches to quantum control including measurement based feedback control and quantum filtering along with coherent quantum feedback control in which the controller is also a quantum system. In the area of coherent control of quantum linear quantum systems, it will discuss quantum H-infinity control, quantum LQG control and coherent quantum observers and coherent quantum state estimation. The lecture will also cover the quantum Kalman decomposition. Applications in the areas of quantum optics and quantum electromechanical systems will be presented.
