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Adaptive optimal control of entangled qubits

Developing fast, robust, and accurate methods for optimal control of quantum systems comprising interacting particles is one of the most active areas of current science. Although a valuable repository of algorithms is available for numerical applications in quantum control, the high computational co...

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Detalles Bibliográficos
Autores principales: Goodwin, David L., Singh, Pranav, Foroozandeh, Mohammadali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Association for the Advancement of Science 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9728963/
https://www.ncbi.nlm.nih.gov/pubmed/36475803
http://dx.doi.org/10.1126/sciadv.abq4244
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author Goodwin, David L.
Singh, Pranav
Foroozandeh, Mohammadali
author_facet Goodwin, David L.
Singh, Pranav
Foroozandeh, Mohammadali
author_sort Goodwin, David L.
collection PubMed
description Developing fast, robust, and accurate methods for optimal control of quantum systems comprising interacting particles is one of the most active areas of current science. Although a valuable repository of algorithms is available for numerical applications in quantum control, the high computational cost is somewhat overlooked. Here, we present a fast and accurate optimal control algorithm for systems of interacting qubits, QOALA (quantum optimal control by adaptive low-cost algorithm), which is predicted to offer [Formula: see text] (M(2)) speedup for an M-qubit system, compared to the state-of-the-art exact methods, without compromising overall accuracy of the optimal solution. The method is general and compatible with diverse Hamiltonian structures. The proposed approach uses inexpensive low-accuracy approximations of propagators far from the optimum, adaptively switching to higher accuracy, higher-cost propagators when approaching the optimum. In addition, the utilization of analytical Lie algebraic derivatives that do not require computationally expensive matrix exponential brings even better performance.
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spelling pubmed-97289632022-12-13 Adaptive optimal control of entangled qubits Goodwin, David L. Singh, Pranav Foroozandeh, Mohammadali Sci Adv Physical and Materials Sciences Developing fast, robust, and accurate methods for optimal control of quantum systems comprising interacting particles is one of the most active areas of current science. Although a valuable repository of algorithms is available for numerical applications in quantum control, the high computational cost is somewhat overlooked. Here, we present a fast and accurate optimal control algorithm for systems of interacting qubits, QOALA (quantum optimal control by adaptive low-cost algorithm), which is predicted to offer [Formula: see text] (M(2)) speedup for an M-qubit system, compared to the state-of-the-art exact methods, without compromising overall accuracy of the optimal solution. The method is general and compatible with diverse Hamiltonian structures. The proposed approach uses inexpensive low-accuracy approximations of propagators far from the optimum, adaptively switching to higher accuracy, higher-cost propagators when approaching the optimum. In addition, the utilization of analytical Lie algebraic derivatives that do not require computationally expensive matrix exponential brings even better performance. American Association for the Advancement of Science 2022-12-07 /pmc/articles/PMC9728963/ /pubmed/36475803 http://dx.doi.org/10.1126/sciadv.abq4244 Text en Copyright © 2022 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution License 4.0 (CC BY). https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/) , which permits which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Physical and Materials Sciences
Goodwin, David L.
Singh, Pranav
Foroozandeh, Mohammadali
Adaptive optimal control of entangled qubits
title Adaptive optimal control of entangled qubits
title_full Adaptive optimal control of entangled qubits
title_fullStr Adaptive optimal control of entangled qubits
title_full_unstemmed Adaptive optimal control of entangled qubits
title_short Adaptive optimal control of entangled qubits
title_sort adaptive optimal control of entangled qubits
topic Physical and Materials Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9728963/
https://www.ncbi.nlm.nih.gov/pubmed/36475803
http://dx.doi.org/10.1126/sciadv.abq4244
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