Introduction to theoretical and experimental aspects of quantum optimal control

Author:

Ansel QORCID,Dionis E,Arrouas F,Peaudecerf BORCID,Guérin S,Guéry-Odelin DORCID,Sugny DORCID

Abstract

Abstract Quantum optimal control (QOC) is a set of methods for designing time-varying electromagnetic fields to perform operations in quantum technologies. This tutorial paper introduces the basic elements of this theory based on the Pontryagin maximum principle, in a physicist-friendly way. An analogy with classical Lagrangian and Hamiltonian mechanics is proposed to present the main results used in this field. Emphasis is placed on the different numerical algorithms to solve a QOC problem. Several examples ranging from the control of two-level quantum systems to that of Bose–Einstein condensates (BECs) in a one-dimensional optical lattice are studied in detail, using both analytical and numerical methods. Codes based on shooting method and gradient-based algorithms are provided. The connection between optimal processes and the quantum speed limit is also discussed in two-level quantum systems. In the case of BEC, the experimental implementation of optimal control protocols is described, both for two-level and many-level cases, with the current constraints and limitations of such platforms. This presentation is illustrated by the corresponding experimental results.

Funder

ANR-QuanTEdu-France

ANR QuCoBec Project

Publisher

IOP Publishing

Reference272 articles.

1. Quantum technologies with hybrid systems;Kurizki;Proc. Natl Acad. Sci.,2015

2. The quantum technologies roadmap: a European community view;Acín;New J. Phys.,2018

3. 2023 Roadmap for materials for quantum technologies;Becher;Mater. Quantum Technol.,2023

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