Optimal Control of Quantum Systems by Pontryagin Maximum Principle
Nahid Binandeh Dehaghani, Фернандо Лобо Перейра · U Porto Journal of Engineering · 2022
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.