Sharp transitions in low-number quantum dots Bayesian magnetometry

We consider Bayesian estimate of static magnetic field, characterized by a prior Gaussian probability distribution, in systems of a few electron quantum dot spins interacting with infinite temperature spin environment via hyperfine interaction. Sudden transitions among optimal states and measurement...

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Detalles Bibliográficos
Autores principales: Mazurek, Paweł, Horodecki, Michał, Czekaj, Łukasz, Horodecki, Paweł
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5043367/
https://www.ncbi.nlm.nih.gov/pubmed/27686417
http://dx.doi.org/10.1038/srep34327
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author Mazurek, Paweł
Horodecki, Michał
Czekaj, Łukasz
Horodecki, Paweł
author_facet Mazurek, Paweł
Horodecki, Michał
Czekaj, Łukasz
Horodecki, Paweł
author_sort Mazurek, Paweł
collection PubMed
description We consider Bayesian estimate of static magnetic field, characterized by a prior Gaussian probability distribution, in systems of a few electron quantum dot spins interacting with infinite temperature spin environment via hyperfine interaction. Sudden transitions among optimal states and measurements are observed. Usefulness of measuring occupation levels is shown for all times of the evolution, together with the role of entanglement in the optimal scenario. For low values of magnetic field, memory effects stemming from the interaction with environment provide limited metrological advantage.
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spelling pubmed-50433672016-10-05 Sharp transitions in low-number quantum dots Bayesian magnetometry Mazurek, Paweł Horodecki, Michał Czekaj, Łukasz Horodecki, Paweł Sci Rep Article We consider Bayesian estimate of static magnetic field, characterized by a prior Gaussian probability distribution, in systems of a few electron quantum dot spins interacting with infinite temperature spin environment via hyperfine interaction. Sudden transitions among optimal states and measurements are observed. Usefulness of measuring occupation levels is shown for all times of the evolution, together with the role of entanglement in the optimal scenario. For low values of magnetic field, memory effects stemming from the interaction with environment provide limited metrological advantage. Nature Publishing Group 2016-09-30 /pmc/articles/PMC5043367/ /pubmed/27686417 http://dx.doi.org/10.1038/srep34327 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Mazurek, Paweł
Horodecki, Michał
Czekaj, Łukasz
Horodecki, Paweł
Sharp transitions in low-number quantum dots Bayesian magnetometry
title Sharp transitions in low-number quantum dots Bayesian magnetometry
title_full Sharp transitions in low-number quantum dots Bayesian magnetometry
title_fullStr Sharp transitions in low-number quantum dots Bayesian magnetometry
title_full_unstemmed Sharp transitions in low-number quantum dots Bayesian magnetometry
title_short Sharp transitions in low-number quantum dots Bayesian magnetometry
title_sort sharp transitions in low-number quantum dots bayesian magnetometry
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5043367/
https://www.ncbi.nlm.nih.gov/pubmed/27686417
http://dx.doi.org/10.1038/srep34327
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