Some Mathematical Problems of Control of Quantum Systems


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Abstract

Currently, quantum technologies are actively developing; these technologies are based on quantum effects in individual quantum systems—atoms or molecules. The mathematical study of problems of control of quantum systems is of particular importance. In this paper, we consider certain problems associated with control of quantum systems: extrema of target functionals for population transfer problems and generation of unitary processes and incoherent control and generation of arbitrary density matrices for open quantum systems.

About the authors

A. N. Pechen’

National University of Science and Technology MISiS; Steklov Mathematical Institute of the Russian Academy of Sciences

Author for correspondence.
Email: pechen@mi.ras.ru
Russian Federation, Moscow; Moscow

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