ABSTRACT

Optimal control theory provides a powerful set of tools and concepts that can be applied to quantum control systems. In general terms, optimal control theory (see, e.g., [81], [132], [135], [161]) is concerned with the control of a system

x˙ = f(x, u), (6.1)

and the simultaneous minimization of a functional of the state x and the control u. Problems of control of quantum systems can naturally be formulated in this setting.