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Toward incompatible quantum limits on multiparameter estimation
Achieving the ultimate precisions for multiple parameters simultaneously is an outstanding challenge in quantum physics, because the optimal measurements for incompatible parameters cannot be performed jointly due to the Heisenberg uncertainty principle. In this work, a criterion proposed for multip...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9950091/ https://www.ncbi.nlm.nih.gov/pubmed/36823170 http://dx.doi.org/10.1038/s41467-023-36661-3 |
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author | Xia, Binke Huang, Jingzheng Li, Hongjing Wang, Han Zeng, Guihua |
author_facet | Xia, Binke Huang, Jingzheng Li, Hongjing Wang, Han Zeng, Guihua |
author_sort | Xia, Binke |
collection | PubMed |
description | Achieving the ultimate precisions for multiple parameters simultaneously is an outstanding challenge in quantum physics, because the optimal measurements for incompatible parameters cannot be performed jointly due to the Heisenberg uncertainty principle. In this work, a criterion proposed for multiparameter estimation provides a possible way to beat this curse. According to this criterion, it is possible to mitigate the influence of incompatibility meanwhile improve the ultimate precisions by increasing the variances of the parameter generators simultaneously. For demonstration, a scheme involving high-order Hermite-Gaussian states as probes is proposed for estimating the spatial displacement and angular tilt of light at the same time, and precisions up to 1.45 nm and 4.08 nrad are achieved in experiment simultaneously. Consequently, our findings provide a deeper insight into the role of Heisenberg uncertainty principle in multiparameter estimation, and contribute in several ways to the applications of quantum metrology. |
format | Online Article Text |
id | pubmed-9950091 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-99500912023-02-25 Toward incompatible quantum limits on multiparameter estimation Xia, Binke Huang, Jingzheng Li, Hongjing Wang, Han Zeng, Guihua Nat Commun Article Achieving the ultimate precisions for multiple parameters simultaneously is an outstanding challenge in quantum physics, because the optimal measurements for incompatible parameters cannot be performed jointly due to the Heisenberg uncertainty principle. In this work, a criterion proposed for multiparameter estimation provides a possible way to beat this curse. According to this criterion, it is possible to mitigate the influence of incompatibility meanwhile improve the ultimate precisions by increasing the variances of the parameter generators simultaneously. For demonstration, a scheme involving high-order Hermite-Gaussian states as probes is proposed for estimating the spatial displacement and angular tilt of light at the same time, and precisions up to 1.45 nm and 4.08 nrad are achieved in experiment simultaneously. Consequently, our findings provide a deeper insight into the role of Heisenberg uncertainty principle in multiparameter estimation, and contribute in several ways to the applications of quantum metrology. Nature Publishing Group UK 2023-02-23 /pmc/articles/PMC9950091/ /pubmed/36823170 http://dx.doi.org/10.1038/s41467-023-36661-3 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Xia, Binke Huang, Jingzheng Li, Hongjing Wang, Han Zeng, Guihua Toward incompatible quantum limits on multiparameter estimation |
title | Toward incompatible quantum limits on multiparameter estimation |
title_full | Toward incompatible quantum limits on multiparameter estimation |
title_fullStr | Toward incompatible quantum limits on multiparameter estimation |
title_full_unstemmed | Toward incompatible quantum limits on multiparameter estimation |
title_short | Toward incompatible quantum limits on multiparameter estimation |
title_sort | toward incompatible quantum limits on multiparameter estimation |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9950091/ https://www.ncbi.nlm.nih.gov/pubmed/36823170 http://dx.doi.org/10.1038/s41467-023-36661-3 |
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