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

Alexander Buldaev and Ivan Kazmin
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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

Mathematics, 2022, vol. 10, issue 3, 1-14

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.

Keywords: controlled quantum systems; control optimality conditions; fixed-point problem; optimization method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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