Temperature estimation of a pair of trapped ions

Abstract We apply estimation theory to a system formed by two interacting trapped ions. By using the Fisher matrix formalism, we introduce a simple scheme for estimation of the temperature of the longitudinal vibrational modes of the ions. We use the ions interaction to effectively infer the tempera...

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Main Authors: O. P. de Sá Neto, H. A. S. Costa, G. A. Prataviera, M. C. de Oliveira
Format: Article
Language:English
Published: Nature Portfolio 2022-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-10572-7
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author O. P. de Sá Neto
H. A. S. Costa
G. A. Prataviera
M. C. de Oliveira
author_facet O. P. de Sá Neto
H. A. S. Costa
G. A. Prataviera
M. C. de Oliveira
author_sort O. P. de Sá Neto
collection DOAJ
description Abstract We apply estimation theory to a system formed by two interacting trapped ions. By using the Fisher matrix formalism, we introduce a simple scheme for estimation of the temperature of the longitudinal vibrational modes of the ions. We use the ions interaction to effectively infer the temperature of the individual ions, by optimising the interaction time evolution and by measuring only over one of the ions. We also investigate the effect of a non-thermal reservoir over the inference approach. The non-classicality of one of the ions vibrational modes, introduced due to a squeezed thermal reservoir, does not directly affect the inference of the individual temperatures, although allowing the modes to be entangled. To check actual experimental conditions, we analyze the temperature inference under heating due to surface-electrode noise.
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spelling doaj.art-15db20aa04e14ca39ad6ebdbcd3198e92022-12-22T01:07:11ZengNature PortfolioScientific Reports2045-23222022-04-0112111510.1038/s41598-022-10572-7Temperature estimation of a pair of trapped ionsO. P. de Sá Neto0H. A. S. Costa1G. A. Prataviera2M. C. de Oliveira3Coordenação de Ciência da Computação, Universidade Estadual do PiauíDepartamento de Física, Universidade Federal do PiauíDepartamento de Administração, FEA-RP, Universidade de São PauloInstituto de Física Gleb Wataghin, Universidade Estadual de CampinasAbstract We apply estimation theory to a system formed by two interacting trapped ions. By using the Fisher matrix formalism, we introduce a simple scheme for estimation of the temperature of the longitudinal vibrational modes of the ions. We use the ions interaction to effectively infer the temperature of the individual ions, by optimising the interaction time evolution and by measuring only over one of the ions. We also investigate the effect of a non-thermal reservoir over the inference approach. The non-classicality of one of the ions vibrational modes, introduced due to a squeezed thermal reservoir, does not directly affect the inference of the individual temperatures, although allowing the modes to be entangled. To check actual experimental conditions, we analyze the temperature inference under heating due to surface-electrode noise.https://doi.org/10.1038/s41598-022-10572-7
spellingShingle O. P. de Sá Neto
H. A. S. Costa
G. A. Prataviera
M. C. de Oliveira
Temperature estimation of a pair of trapped ions
Scientific Reports
title Temperature estimation of a pair of trapped ions
title_full Temperature estimation of a pair of trapped ions
title_fullStr Temperature estimation of a pair of trapped ions
title_full_unstemmed Temperature estimation of a pair of trapped ions
title_short Temperature estimation of a pair of trapped ions
title_sort temperature estimation of a pair of trapped ions
url https://doi.org/10.1038/s41598-022-10572-7
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