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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2020
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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. |
format | Online Article Text |
id | pubmed-7712389 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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