Bayesian optimization for state engineering of quantum gases

authored by: Gabriel Müller, Víctor J. Martínez-Lahuerta, Ivan Sekulic, Sven Burger, Philipp Immanuel Schneider, Naceur Gaaloul
Abstract: State engineering of quantum objects is a central requirement for precision sensing and quantum computing implementations. When the quantum dynamics can be described by analytical solutions or simple approximation models, optimal state preparation protocols have been theoretically proposed and experimentally realized. For more complex systems such as interacting quantum gases, simplifying assumptions do not apply anymore and the optimization techniques become computationally impractical. Here, we propose Bayesian optimization based on multi-output Gaussian processes to learn the physical properties of a Bose-Einstein condensate within few simulations only. We evaluate its performance on an optimization study case of diabatically transporting the quantum gas while keeping it in its ground state. Within a few hundred executions, we reach a competitive performance to other protocols. While restricting this benchmark to the well known Thomas-Fermi approximation for straightforward comparisons, we expect a similar performance when employing more complex theoretical models, which would be computationally more challenging, rendering standard optimal control theory protocols impractical. This paves the way for efficient state engineering of complex quantum systems including mixtures of interacting gases or cold molecules.
Organisation(s): Institute of Quantum Optics
External Organisation(s): JCMwave GmbH
Zuse Institute Berlin (ZIB)
Type: Article
Journal: Quantum Science and Technology
Volume: 10
ISSN: 2058-9565
Publication date: 01.01.2025
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics, Materials Science (miscellaneous), Physics and Astronomy (miscellaneous), Electrical and Electronic Engineering
Electronic version(s): https://doi.org/10.1088/2058-9565/ad9050 (Access: Open)

BibTeX

@article{bdd5478e3fda4b6890bbb8f4fc1dc9c4,
title = "Bayesian optimization for state engineering of quantum gases",
abstract = "State engineering of quantum objects is a central requirement for precision sensing and quantum computing implementations. When the quantum dynamics can be described by analytical solutions or simple approximation models, optimal state preparation protocols have been theoretically proposed and experimentally realized. For more complex systems such as interacting quantum gases, simplifying assumptions do not apply anymore and the optimization techniques become computationally impractical. Here, we propose Bayesian optimization based on multi-output Gaussian processes to learn the physical properties of a Bose-Einstein condensate within few simulations only. We evaluate its performance on an optimization study case of diabatically transporting the quantum gas while keeping it in its ground state. Within a few hundred executions, we reach a competitive performance to other protocols. While restricting this benchmark to the well known Thomas-Fermi approximation for straightforward comparisons, we expect a similar performance when employing more complex theoretical models, which would be computationally more challenging, rendering standard optimal control theory protocols impractical. This paves the way for efficient state engineering of complex quantum systems including mixtures of interacting gases or cold molecules.",
keywords = "Bayesian optimization, quantum control, quantum engineering, quantum gases, quantum metrology, quantum sensing",
author = "Gabriel M{\"u}ller and Mart{\'i}nez-Lahuerta, {V{\'i}ctor J.} and Ivan Sekulic and Sven Burger and Schneider, {Philipp Immanuel} and Naceur Gaaloul",
note = "Publisher Copyright: {\textcopyright} 2024 The Author(s). Published by IOP Publishing Ltd.",
year = "2025",
month = jan,
day = "1",
doi = "10.1088/2058-9565/ad9050",
language = "English",
volume = "10",
journal = "Quantum Science and Technology",
issn = "2058-9565",
publisher = "Institute of Physics Publishing",
number = "1",
}