Quantum feedback control and classical control theory

Andrew C. Doherty, Salman Habib, Kurt Jacobs, Hideo Mabuchi, Sze M. Tan

Published 1999-12-24, updated 2000-03-09Version 2

We introduce and discuss the problem of quantum feedback control in the context of established formulations of classical control theory, examining conceptual analogies and essential differences. We describe the application of state-observer based control laws, familiar in classical control theory, to quantum systems and apply our methods to the particular case of switching the state of a particle in a double-well potential.