Minimal-noise estimation of noncommuting rotations of a spin

2024
journal article
article
dc.abstract.enWe propose an analogue of SU(1, 1) interferometry to measure rotation of a spin by using two-spin squeezed states. Attainability of the Heisenberg limit for the estimation of the rotation angle is demonstrated for maximal squeezing. For a specific squeezing direction and strength an advantage in sensitivity for all equatorial rotation axes (and hence noncommuting rotations) over the classical bound is shown in terms of quadratic scaling of the single-parameter quantum Fisher information for the corresponding rotation angles. Our results provide a method for measuring magnetic fields in any direction in the x-y-plane with the same optimized initial state.
dc.affiliationSzkoła Doktorska Nauk Ścisłych i Przyrodniczych
dc.contributor.authorCzartowski, Jakub - 260633
dc.contributor.authorŻyczkowski, Karol - 132981
dc.contributor.authorBraun Daniel
dc.date.accessioned2024-05-10T10:45:23Z
dc.date.available2024-05-10T10:45:23Z
dc.date.issued2024
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume8
dc.identifier.articleid1341
dc.identifier.doi10.22331/q-2024-05-08-1341
dc.identifier.eissn2521-327X
dc.identifier.issn2521-327X
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/339291
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.typeotwarte czasopismo
dc.subtypeArticle
dc.titleMinimal-noise estimation of noncommuting rotations of a spin
dc.title.journalQuantum
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
We propose an analogue of SU(1, 1) interferometry to measure rotation of a spin by using two-spin squeezed states. Attainability of the Heisenberg limit for the estimation of the rotation angle is demonstrated for maximal squeezing. For a specific squeezing direction and strength an advantage in sensitivity for all equatorial rotation axes (and hence noncommuting rotations) over the classical bound is shown in terms of quadratic scaling of the single-parameter quantum Fisher information for the corresponding rotation angles. Our results provide a method for measuring magnetic fields in any direction in the x-y-plane with the same optimized initial state.
dc.affiliation
Szkoła Doktorska Nauk Ścisłych i Przyrodniczych
dc.contributor.author
Czartowski, Jakub - 260633
dc.contributor.author
Życzkowski, Karol - 132981
dc.contributor.author
Braun Daniel
dc.date.accessioned
2024-05-10T10:45:23Z
dc.date.available
2024-05-10T10:45:23Z
dc.date.issued
2024
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
8
dc.identifier.articleid
1341
dc.identifier.doi
10.22331/q-2024-05-08-1341
dc.identifier.eissn
2521-327X
dc.identifier.issn
2521-327X
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/339291
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtype
Article
dc.title
Minimal-noise estimation of noncommuting rotations of a spin
dc.title.journal
Quantum
dc.type
JournalArticle
dspace.entity.typeen
Publication

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