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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v30.i2-3.50
pages 33-38

Simulation of Quantum Control Systems. Part I. System Analysis of Physical Constraints

Sergey A. Smirnov
Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev

SINOPSIS

The paper develops an algebraic approach to the study of quantum control systems that is based on bilinear dynamical models defined on orbits of the adjoint representation of a compact Lie group. A mathematically correct model is constructed for the physical statement of the problem; the limits of its physical correctness are found.

REFERENCIAS

  1. Butkovskii, A. G. and Samoilenko, Yu. I., Upravlenie kvantovo-mekhanicheskimi protsessami (Control of Quantum Mechanical Processes).

  2. Brockett, R. W., Lie Algebras and Lie Groups in Control Theory. In: Geometric Methods in Control Theory.

  3. Andreev, Yu. N., Differential-Geometrical Methods in Control Theory (a survey).

  4. Samoilenko, Yu. I., Smirnov, S. A., and Khorozov, O. A., Algebraic Methods for Optimization of Terminal Functionals of Quantum Mechanical Systems.

  5. Mackey G., Lektsiipo matematicheskim osnovam kvantovoi mekhaniki (Lectures on Mathematical Foundation of Quantum Mechanics).

  6. Akulin, V. M. and Karlov, N. V., Intensivnye resonansnye vzaimodeistviya v kvantovoi elektronike (Intensive Resonance Interaction in the Quantum Electronics).

  7. Klyshko, D. N., Fizicheskie osnovy kvantovoi elektroniki (Physical Foundations of Quantum Electronics).


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