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Control of the Observables in the Finite-Level Quantum Systems

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Abstract

A new approach to designing the velocity gradient-based algorithms to control the observables of the quantum-mechanical systems was proposed. The aim of control was shown to be feasible under the nondegeneracy-type conditions, provided that the initial and target values lie in the same energy layer. The error of attaining the aim of control was shown to be proportional to that of defining the initial system state and the error of realization of the control action. For the problem of controlling predissociation of the hydrogen fluoride molecule, numerical results were presented. Design of the proposed algorithms features simplicity.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    M. S. Anan’evskii

  2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    A. L. Fradkov

Authors
  1. M. S. Anan’evskii
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  2. A. L. Fradkov
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__________

Translated from Avtomatika i Telemekhanika, No. 5, 2005, pp. 63–75.

Original Russian Text Copyright © 2005 by Anan’evskii, Fradkov.

This work was supported by the Russian Foundation for Basic Research, project no. 02-01-00765, Research Program of the Presidium of the Russian Academy of Sciences, project 1.4, and the Competitive Center for Fundamental Natural Science, project M04-2.1D-185.

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Anan’evskii, M.S., Fradkov, A.L. Control of the Observables in the Finite-Level Quantum Systems. Autom Remote Control 66, 734–745 (2005). https://doi.org/10.1007/s10513-005-0117-y

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  • DOI: https://doi.org/10.1007/s10513-005-0117-y

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