Optimal Control of Quantum Systems by Pontryagin Maximum Principle

Author:

Binandeh Dehaghani NahidORCID,Lobo Pereira FernandoORCID

Abstract

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.

Publisher

University of Porto

Subject

General Engineering

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantum State Transfer Optimization: Balancing Fidelity and Energy Consumption using Pontryagin Maximum Principle;2023 IEEE 11th International Conference on Systems and Control (ICSC);2023-12-18

2. An Optimal Control Perspective on Classical and Quantum Physical Systems;Symmetry;2023-11-08

3. An Application of Pontryagin Neural Networks to Solve Optimal Quantum Control Problems;2023 9th International Conference on Control, Decision and Information Technologies (CoDIT);2023-07-03

4. A Quantum Optimal Control Problem with State Constrained Preserving Coherence;2022 IEEE 61st Conference on Decision and Control (CDC);2022-12-06

5. Quantum Control Modelling, Methods, and Applications;Extensive Reviews;2022-11-01

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