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Program Systems: Theory and Applications, 2011, Volume 2, Issue 1, Pages 27–38 (Mi ps25)  
Optimization Methods and Control Theory

The numerical technique of optimization of two-dimensional controlled voltage impulse in the quantum dots system

A. Yu. Gornova, A. V. Dvurechenskiib, T. S. Zarodnyuka, A. F. Zinov'evab, A. V. Nenashevb

a Institute of System Dynamics and Control Theory, SB of RAS
b Institute of Semiconductor physics, SB of RAS
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Abstract: The optimization problem of controlled voltage impulse in form of two time functions is considered for carry out swap operation. This operation is an interchange of spin information in system of two vertically concatenating levels of tunnel-coupled semiconducting quantum dots. An equivalent optimal control problem with terminal constraints and minimum time functional is formulated and solved.
Key words and phrases: optimal control problem, numerical methods, quantum dot.
Received: 13.02.2011
Accepted: 11.03.2011
Document Type: Article
UDC: 517.977.58
Language: Russian
Citation: A. Yu. Gornov, A. V. Dvurechenskii, T. S. Zarodnyuk, A. F. Zinov'eva, A. V. Nenashev, “The numerical technique of optimization of two-dimensional controlled voltage impulse in the quantum dots system”, Program Systems: Theory and Applications, 2:1 (2011), 27–38
Citation in format AMSBIB
\Bibitem{GorDvuZar11}
\by A.~Yu.~Gornov, A.~V.~Dvurechenskii, T.~S.~Zarodnyuk, A.~F.~Zinov'eva, A.~V.~Nenashev
\paper The numerical technique of optimization of two-dimensional controlled voltage impulse in the quantum dots system
\jour Program Systems: Theory and Applications
\yr 2011
\vol 2
\issue 1
\pages 27--38
\mathnet{http://mi.mathnet.ru/ps25}
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