Book of translations "Control of molecular and quantum systems"
Ed.by A.L.Fradkov, O.A.Yakubovskii. Translated by I.A. Makarov.
MoscowIzhevsk, Institute for Computer Studies, 2003, 416 p.(In Russian).
Abstract:
The book presents main ideas, results and problems in the field
of control of microworld processes, an emerging research area of the last decade.
The achievements of the main groups in this area, continuing either theoretical or experimental
research are included. The scope of the book includes adaptive control of molecular systems with
femtosecond lasers, control of qubits with nuclear magnetic resonance, optimal control
of quantum systems, etc.
Implementation issues for quantum computations are addressed. The survey paper of
E.Brown and H.Rabitz from the University of Princeton, presents more then 50 open problems,
important for further development of the field.
The book may be useful for students, teachers, researchers and engineers interested in
theory and experiments in the boundary area between physics, chemistry and cybernetics
(systems and control theory).
Contents

H. Rabitz
Control of microworld chemical and physical processes.
In: Encyclopedia of Computational Chemistry,
(John Wiley & Sons, Ltd., Chichester, 1998), Volume 1, pp. 573580.
 S. Lloyd
Quantummechanical Maxwell's demon.
Physical Review A, vol. 56, no.5, pp.33743382.
 B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum
Coherent control using adaptive learning algorithms.
Phys. Rev. A, V. 63, 063412, 2001.
 T.Brixner, B.Kiefer and G.Gerber.
Problem complexity in femtosecond quantum control.
Chemical Physics, 267(2001), pp.241246.
 M. Shapiro and P. Brumer.
Quantum control of chemical reactions.
J. Chem. Soc. Faraday Trans. V.93(7), 1997, pp.12631267.
 S.A. Rice.
Active Control of Molecular Dynamics: Coherence versus Chaos.
Journal of Statistical Physics, Vol. 101, Nos. 12, 2000.
 R. W. Brockett and N. Khaneja.
Quantum control of stochastic ensembles.
In: System Theory: Modeling, Analysis and Control.
Kluwer Academic, New York, 1999, pp.7596.
 N. Khaneja, R. Brockett, and S.J. Glaser.
Time optimal control in spin systems.
Physical Review A, Vol.63, 032308.
 D. D'Alessandro and M. Dahleh.
Optimal Control of TwoLevel Quantum Systems.
IEEE Trans. Autom. Control, V. 46, NO. 6, 2001, pp. 866876.

V. Ramakrishna and H. Rabitz.
Relation between quantum computing and quantum controllability.
Phys. Rev. A, V.54, 17151716 (1996).

S. Lloyd.
Coherent quantum feedback.
Physical Review A, vol. 62, 022108.

H.H. Rosenbrock.
Doing quantum mechanics with control theory.
IEEE Transactions on Automatic Control, vol. 45, No 1, Jan. 2000, pp. 7377.

E. Brown and H. Rabitz.
Some mathematical and algorithmic challenges in the control of quantum dynamics phenomena.
Journal of Mathematical Chemistry Vol. 31, No. 1, Jan. 2002.