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Phys. Rev. A 62, 012105 (2000) [13 pages]

Quantum feedback control and classical control theory

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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

Received 16 December 1999; published 13 June 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.62.012105
DOI:
10.1103/PhysRevA.62.012105
PACS:
03.65.Bz, 45.80.+r, 02.50.-r, 03.67.-a

*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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