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Tensor-network approach for quantum metrology in many-body quantum systems
Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-of-the-art numerical and analytical methods. Here we provide a comprehensive framework exploiting matrix product operator...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6959326/ https://www.ncbi.nlm.nih.gov/pubmed/31937760 http://dx.doi.org/10.1038/s41467-019-13735-9 |
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author | Chabuda, Krzysztof Dziarmaga, Jacek Osborne, Tobias J. Demkowicz-Dobrzański, Rafał |
author_facet | Chabuda, Krzysztof Dziarmaga, Jacek Osborne, Tobias J. Demkowicz-Dobrzański, Rafał |
author_sort | Chabuda, Krzysztof |
collection | PubMed |
description | Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-of-the-art numerical and analytical methods. Here we provide a comprehensive framework exploiting matrix product operators (MPO) type tensor networks for quantum metrological problems. The maximal achievable estimation precision as well as the optimal probe states in previously inaccessible regimes can be identified including models with short-range noise correlations. Moreover, the application of infinite MPO (iMPO) techniques allows for a direct and efficient determination of the asymptotic precision in the limit of infinite particle numbers. We illustrate the potential of our framework in terms of an atomic clock stabilization (temporal noise correlation) example as well as magnetic field sensing (spatial noise correlations). As a byproduct, the developed methods may be used to calculate the fidelity susceptibility—a parameter widely used to study phase transitions. |
format | Online Article Text |
id | pubmed-6959326 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-69593262020-01-15 Tensor-network approach for quantum metrology in many-body quantum systems Chabuda, Krzysztof Dziarmaga, Jacek Osborne, Tobias J. Demkowicz-Dobrzański, Rafał Nat Commun Article Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-of-the-art numerical and analytical methods. Here we provide a comprehensive framework exploiting matrix product operators (MPO) type tensor networks for quantum metrological problems. The maximal achievable estimation precision as well as the optimal probe states in previously inaccessible regimes can be identified including models with short-range noise correlations. Moreover, the application of infinite MPO (iMPO) techniques allows for a direct and efficient determination of the asymptotic precision in the limit of infinite particle numbers. We illustrate the potential of our framework in terms of an atomic clock stabilization (temporal noise correlation) example as well as magnetic field sensing (spatial noise correlations). As a byproduct, the developed methods may be used to calculate the fidelity susceptibility—a parameter widely used to study phase transitions. Nature Publishing Group UK 2020-01-14 /pmc/articles/PMC6959326/ /pubmed/31937760 http://dx.doi.org/10.1038/s41467-019-13735-9 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Chabuda, Krzysztof Dziarmaga, Jacek Osborne, Tobias J. Demkowicz-Dobrzański, Rafał Tensor-network approach for quantum metrology in many-body quantum systems |
title | Tensor-network approach for quantum metrology in many-body quantum systems |
title_full | Tensor-network approach for quantum metrology in many-body quantum systems |
title_fullStr | Tensor-network approach for quantum metrology in many-body quantum systems |
title_full_unstemmed | Tensor-network approach for quantum metrology in many-body quantum systems |
title_short | Tensor-network approach for quantum metrology in many-body quantum systems |
title_sort | tensor-network approach for quantum metrology in many-body quantum systems |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6959326/ https://www.ncbi.nlm.nih.gov/pubmed/31937760 http://dx.doi.org/10.1038/s41467-019-13735-9 |
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