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Operator Methods of the Maximum Principle in Problems of Optimization of Quantum Systems

Author

Listed:
  • Alexander Buldaev

    (Department of Applied Mathematics, Buryat State University, 670000 Ulan-Ude, Russia)

  • Ivan Kazmin

    (Department of Applied Mathematics, Buryat State University, 670000 Ulan-Ude, Russia)

Abstract

In the class of optimal control problems for quantum systems, operator optimality conditions for control are constructed in the form of fixed-point problems in the control space. The equivalence of the obtained operator optimality conditions to the well-known Pontryagin maximum principle is shown. Based on the obtained operator forms of optimality conditions, new iterative methods for finding extreme equations satisfying the maximum principle are developed. A comparative analysis of the effectiveness of the proposed operator methods of the maximum principle with known methods is carried out on model examples of optimization of quantum systems.

Suggested Citation

  • Alexander Buldaev & Ivan Kazmin, 2022. "Operator Methods of the Maximum Principle in Problems of Optimization of Quantum Systems," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:507-:d:742604
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    Cited by:

    1. Quanxin Zhu, 2022. "Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering," Mathematics, MDPI, vol. 10(24), pages 1-2, December.

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