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Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology

Quantum metrology makes use of quantum mechanics to improve precision measurements and measurement sensitivities. It is usually formulated for time-independent Hamiltonians, but time-dependent Hamiltonians may offer advantages, such as a [Formula: see text] time dependence of the Fisher information...

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Autores principales: Cabedo-Olaya, Marina, Muga, Juan Gonzalo, Martínez-Garaot, Sofía
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712389/
https://www.ncbi.nlm.nih.gov/pubmed/33287019
http://dx.doi.org/10.3390/e22111251
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author Cabedo-Olaya, Marina
Muga, Juan Gonzalo
Martínez-Garaot, Sofía
author_facet Cabedo-Olaya, Marina
Muga, Juan Gonzalo
Martínez-Garaot, Sofía
author_sort Cabedo-Olaya, Marina
collection PubMed
description Quantum metrology makes use of quantum mechanics to improve precision measurements and measurement sensitivities. It is usually formulated for time-independent Hamiltonians, but time-dependent Hamiltonians may offer advantages, such as a [Formula: see text] time dependence of the Fisher information which cannot be reached with a time-independent Hamiltonian. In Optimal adaptive control for quantum metrology with time-dependent Hamiltonians (Nature Communications 8, 2017), Shengshi Pang and Andrew N. Jordan put forward a Shortcut-to-adiabaticity (STA)-like method, specifically an approach formally similar to the “counterdiabatic approach”, adding a control term to the original Hamiltonian to reach the upper bound of the Fisher information. We revisit this work from the point of view of STA to set the relations and differences between STA-like methods in metrology and ordinary STA. This analysis paves the way for the application of other STA-like techniques in parameter estimation. In particular we explore the use of physical unitary transformations to propose alternative time-dependent Hamiltonians which may be easier to implement in the laboratory.
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spelling pubmed-77123892021-02-24 Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology Cabedo-Olaya, Marina Muga, Juan Gonzalo Martínez-Garaot, Sofía Entropy (Basel) Article Quantum metrology makes use of quantum mechanics to improve precision measurements and measurement sensitivities. It is usually formulated for time-independent Hamiltonians, but time-dependent Hamiltonians may offer advantages, such as a [Formula: see text] time dependence of the Fisher information which cannot be reached with a time-independent Hamiltonian. In Optimal adaptive control for quantum metrology with time-dependent Hamiltonians (Nature Communications 8, 2017), Shengshi Pang and Andrew N. Jordan put forward a Shortcut-to-adiabaticity (STA)-like method, specifically an approach formally similar to the “counterdiabatic approach”, adding a control term to the original Hamiltonian to reach the upper bound of the Fisher information. We revisit this work from the point of view of STA to set the relations and differences between STA-like methods in metrology and ordinary STA. This analysis paves the way for the application of other STA-like techniques in parameter estimation. In particular we explore the use of physical unitary transformations to propose alternative time-dependent Hamiltonians which may be easier to implement in the laboratory. MDPI 2020-11-03 /pmc/articles/PMC7712389/ /pubmed/33287019 http://dx.doi.org/10.3390/e22111251 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Cabedo-Olaya, Marina
Muga, Juan Gonzalo
Martínez-Garaot, Sofía
Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology
title Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology
title_full Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology
title_fullStr Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology
title_full_unstemmed Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology
title_short Shortcut-to-Adiabaticity-Like Techniques for Parameter Estimation in Quantum Metrology
title_sort shortcut-to-adiabaticity-like techniques for parameter estimation in quantum metrology
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712389/
https://www.ncbi.nlm.nih.gov/pubmed/33287019
http://dx.doi.org/10.3390/e22111251
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