Email this article Conditions for the Absence of Local Extrema in Problems of Quantum Coherent Control
- Authors: Il’in N.B.1, Pechen A.N.1,2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- National University of Science and Technology MISiS
- Issue: Vol 301, No 1 (2018)
- Pages: 109-113
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175560
- DOI: https://doi.org/10.1134/S0081543818040090
- ID: 175560
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Abstract
We consider a terminal control problem for quantum systems which is formulated as the problem of maximizing the objective functional at some fixed finite time. Within the framework of this problem, we discuss known results on the local maxima of the objective functional that are not global. This question is important for quantum control, since such local maxima could make it difficult to find the global maximum by local search in numerical optimization or under laboratory conditions.
About the authors
N. B. Il’in
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: ilyn@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
A. N. Pechen
Steklov Mathematical Institute of Russian Academy of Sciences; National University of Science and Technology MISiS
Email: ilyn@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; Leninskii pr. 4, Moscow, 119049
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