Optimal Control of Quantum Systems by Pontryagin Maximum Principle

Optimal control provides powerful tools and concepts that can be applied to control quantum systems. It has been used extensively to improve the performance of quantum processes in a variety of active areas in quantum technologies. This paper reviews the necessary conditions of optimality in the for...

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Bibliographic Details
Published in:U.Porto Journal of Engineering
Main Authors: Nahid Binandeh Dehaghani, Fernando Lobo Pereira
Format: Article
Language:English
Published: Universidade do Porto 2022-04-01
Subjects:
quantum optimal control
pontryagin maximum principle
two-level quantum systems
Online Access:https://journalengineering.fe.up.pt/index.php/upjeng/article/view/1297
Description
Summary:Optimal control provides powerful tools and concepts that can be applied to control quantum systems. It has been used extensively to improve the performance of quantum processes in a variety of active areas in quantum technologies. This paper reviews the necessary conditions of optimality in the form of a Pontryagin Maximum Principle (PMP), and introduces its formulations for quantum systems. After formulating an optimal control problem for a two-level quantum system, we then study the application of PMP to obtain an optimal control strategy.
ISSN:2183-6493

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