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Speed limit of quantum metrology
Quantum metrology employs nonclassical systems to improve the sensitivity of measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao bound. On the other hand, the quantum speed limit bounds the speed of dynamics of any quantum process. We show that the speed limit...
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/PMC10368683/ https://www.ncbi.nlm.nih.gov/pubmed/37491464 http://dx.doi.org/10.1038/s41598-023-39082-w |
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author | Maleki, Yusef Ahansaz, Bahram Maleki, Alireza |
author_facet | Maleki, Yusef Ahansaz, Bahram Maleki, Alireza |
author_sort | Maleki, Yusef |
collection | PubMed |
description | Quantum metrology employs nonclassical systems to improve the sensitivity of measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao bound. On the other hand, the quantum speed limit bounds the speed of dynamics of any quantum process. We show that the speed limit of quantum dynamics sets a fundamental bound on the minimum attainable phase estimation error through the quantum Cramér–Rao bound, relating the precision directly to the underlying dynamics of the system. In particular, various metrologically important states are considered, and their dynamical speeds are analyzed. We find that the bound could, in fact, be related to the nonclassicality of quantum states through the Mandel Q parameter. |
format | Online Article Text |
id | pubmed-10368683 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-103686832023-07-27 Speed limit of quantum metrology Maleki, Yusef Ahansaz, Bahram Maleki, Alireza Sci Rep Article Quantum metrology employs nonclassical systems to improve the sensitivity of measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao bound. On the other hand, the quantum speed limit bounds the speed of dynamics of any quantum process. We show that the speed limit of quantum dynamics sets a fundamental bound on the minimum attainable phase estimation error through the quantum Cramér–Rao bound, relating the precision directly to the underlying dynamics of the system. In particular, various metrologically important states are considered, and their dynamical speeds are analyzed. We find that the bound could, in fact, be related to the nonclassicality of quantum states through the Mandel Q parameter. Nature Publishing Group UK 2023-07-25 /pmc/articles/PMC10368683/ /pubmed/37491464 http://dx.doi.org/10.1038/s41598-023-39082-w 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Maleki, Yusef Ahansaz, Bahram Maleki, Alireza Speed limit of quantum metrology |
title | Speed limit of quantum metrology |
title_full | Speed limit of quantum metrology |
title_fullStr | Speed limit of quantum metrology |
title_full_unstemmed | Speed limit of quantum metrology |
title_short | Speed limit of quantum metrology |
title_sort | speed limit of quantum metrology |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10368683/ https://www.ncbi.nlm.nih.gov/pubmed/37491464 http://dx.doi.org/10.1038/s41598-023-39082-w |
work_keys_str_mv | AT malekiyusef speedlimitofquantummetrology AT ahansazbahram speedlimitofquantummetrology AT malekialireza speedlimitofquantummetrology |