Average number is an insufficient metric for interferometry

We argue that analysing schemes for metrology solely in terms of the average particle number can obscure the number of particles effectively used in informative events. For a number of states we demonstrate that, in both frequentist and Bayesian frameworks, the average number of a state can essentia...

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Main Authors: Dominic Branford, Jesús Rubio
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac3571
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author Dominic Branford
Jesús Rubio
author_facet Dominic Branford
Jesús Rubio
author_sort Dominic Branford
collection DOAJ
description We argue that analysing schemes for metrology solely in terms of the average particle number can obscure the number of particles effectively used in informative events. For a number of states we demonstrate that, in both frequentist and Bayesian frameworks, the average number of a state can essentially be decoupled from the aspects of the total number distribution associated with any metrological advantage.
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spelling doaj.art-66d9a3c418e94887936f146dbc2781d72023-08-08T15:40:36ZengIOP PublishingNew Journal of Physics1367-26302021-01-01231212304110.1088/1367-2630/ac3571Average number is an insufficient metric for interferometryDominic Branford0https://orcid.org/0000-0001-8989-7464Jesús Rubio1https://orcid.org/0000-0002-8193-8273Institute of Photonics and Quantum Sciences, Heriot-Watt University , Edinburgh, EH14 4AS, United KingdomDepartment of Physics and Astronomy, University of Exeter , Stocker Road, Exeter, EX4 4QL, United KingdomWe argue that analysing schemes for metrology solely in terms of the average particle number can obscure the number of particles effectively used in informative events. For a number of states we demonstrate that, in both frequentist and Bayesian frameworks, the average number of a state can essentially be decoupled from the aspects of the total number distribution associated with any metrological advantage.https://doi.org/10.1088/1367-2630/ac3571quantum metrologyoptical interferometryvariable-number states
spellingShingle Dominic Branford
Jesús Rubio
Average number is an insufficient metric for interferometry
New Journal of Physics
quantum metrology
optical interferometry
variable-number states
title Average number is an insufficient metric for interferometry
title_full Average number is an insufficient metric for interferometry
title_fullStr Average number is an insufficient metric for interferometry
title_full_unstemmed Average number is an insufficient metric for interferometry
title_short Average number is an insufficient metric for interferometry
title_sort average number is an insufficient metric for interferometry
topic quantum metrology
optical interferometry
variable-number states
url https://doi.org/10.1088/1367-2630/ac3571
work_keys_str_mv AT dominicbranford averagenumberisaninsufficientmetricforinterferometry
AT jesusrubio averagenumberisaninsufficientmetricforinterferometry