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Author
Gessner, M.
;
Smerzi, A.
Title
Hierarchies of Frequentist Bounds for Quantum Metrology: From Cramer-Rao to Barankin
Type
Journal Article
Year
2023
Publication
Physical Review Letters
Abbreviated Journal
Phys. Rev. Lett.
Volume
130
Issue
26
Pages
260801 - 6pp
Keywords
Abstract
We derive lower bounds on the variance of estimators in quantum metrology by choosing test observables that define constraints on the unbiasedness of the estimator. The quantum bounds are obtained by analytical optimization over all possible quantum measurements and estimators that satisfy the given constraints. We obtain hierarchies of increasingly tight bounds that include the quantum Cramer-Rao bound at the lowest order. In the opposite limit, the quantum Barankin bound is the variance of the locally best unbiased estimator in quantum metrology. Our results reveal generalizations of the quantum Fisher information that are able to avoid regularity conditions and identify threshold behavior in quantum measurements with mixed states, caused by finite data.
Address
[Gessner, Manuel] Univ Valencia, Dept Fis Teor, IFIC, CSIC, Carrer Dr Moliner 50, Valencia 46100, Spain, Email: manuel.gessner@uv.es;
Corporate Author
Thesis
Publisher
Amer Physical Soc
Place of Publication
Editor
Language
English
Summary Language
Original Title
Series Editor
Series Title
Abbreviated Series Title
Series Volume
Series Issue
Edition
ISSN
0031-9007
ISBN
Medium
Area
Expedition
Conference
Notes
WOS:001140164100003
Approved
no
Is ISI
yes
International Collaboration
yes
Call Number
IFIC @ pastor @
Serial
5902
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