Quantum feedback control and classical control theory

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

doi:10.1103/PhysRevA.62.012105

Quantum feedback control and classical control theory

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

Phys. Rev. A 62, 012105 – Published 13 June 2000

Abstract

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.

Received 16 December 1999

DOI:https://doi.org/10.1103/PhysRevA.62.012105

Authors & Affiliations

Andrew C. Doherty^*

Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Salman Habib and Kurt Jacobs

Theoretical Division, T-8, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Hideo Mabuchi

Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125

Sze M. Tan

Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand

^*Present address: Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena CA 91125. Electronic address: dohertya@its.caltech.edu

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Vol. 62, Iss. 1 — July 2000

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