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Phys. Rev. A 55, R1565–R1568 (1997)

Kinematical bounds on evolution and optimization of mixed quantum states

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M. D. Girardeau, M. Ina, S. Schirmer, and T. Gulsrud
11Department of Physics and Institutes of Theoretical Science and Chemical Physics, University of Oregon, Eugene, Oregon 97403
22Department of Mathematics, University of Oregon, Eugene, Oregon 97403
33Department of Physics, University of Oregon, Eugene, Oregon 97403

Received 20 May 1996; published in the issue dated March 1997

Upper and lower bounds are established for time-dependent ensemble averages of observables of driven quantum systems in mixed states. They limit controllability of observables independently of the control fields. Narrower bounds are established when the observable is a projector onto a pure quantum state or subspace. They are optimal in the sense of being kinematically achievable. Calculations on nonlinear optimal control of a four-level model indicate that these kinematical bounds are dynamically achievable asymptotically with increasing control pulse strength.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.55.R1565
DOI:
10.1103/PhysRevA.55.R1565
PACS:
03.65.Bz, 05.30.-d, 31.70.Hq
 
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