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Phys. Rev. A 61, 012101 (1999) [8 pages]

Efficient algorithm for optimal control of mixed-state quantum systems

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S. G. Schirmer
Department of Mathematics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403

M. D. Girardeau
Department of Physics and Institutes of Theoretical Science and Chemical Physics, University of Oregon, Eugene, Oregon 97403

J. V. Leahy
Department of Mathematics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403

Received 21 June 1999; published 8 December 1999

Zhu and Rabitz [J. Chem. Phys. 109, 385 (1998)] presented a rapidly convergent iterative algorithm for optimal control of the expectation value of a positive-definite observable in a pure-state quantum system. In this paper we generalize this algorithm to a quantum-statistical mechanics setting and show that it is both efficient in the mixed-state case and effective in achieving the control objective of maximizing the ensemble average of arbitrary observables in the cases studied.


©1999 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.61.012101
DOI: 10.1103/PhysRevA.61.012101
PACS: 03.65.Bz, 05.30.-d, 31.70.Hq

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