Cited by 201Quantum Information and CryptographyQuantum Mechanics and ApplicationsStatistical Mechanics and Entropy

Wigner-Yanase skew information vs. quantum Fisher information

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Luo, Shunlong·2003·Proceedings of the American Mathematical Society

Abstract

Among concepts describing the information contents of quantum mechanical density operators, both the Wigner-Yanase skew information and the quantum Fisher information defined via symmetric logarithmic derivatives are natural generalizations of the classical Fisher information. We will establish a relationship between these two fundamental quantities and show that they are comparable.

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Crossref · 10.1090/s0002-9939-03-07175-2

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  1. H. Cramér, Mathematical Methods of Statistics, Princeton University Press, Princeton, New Jersey, 1946, thirteenth printing, pp. 477-481, 1974. MR 8:39f

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Authors
Luo, S.
Affiliations
Chinese Academy of Sciences (CN)
Corresponding author
Luo, Shunlong
Venue
Proceedings of the American Mathematical Society
Published
2003-07-07
Volume
132
Issue
3
Pages
885-890
ISSN
  • 0002-9939 (ISSN-L)
  • 1088-6826
OpenAlex
W1503304924
Cited by
201
References
10
Citations by year
2026: 9 · 2025: 15 · 2024: 18 · 2023: 23 · 2022: 15 · 2021: 15 · 2020: 15 · 2019: 16 · 2018: 7 · 2017: 12 · 2016: 7 · 2015: 7 · 2014: 4 · 2013: 8 · 2012: 4
FWCI
1.42
Type
journal article
Language
en
Open access
Locations
Proceedings of the American Mathematical Society (publishedVersion)
Funders
National Natural Science Foundation of China (10131040)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
Keywords
Wigner-Yanase skew information, quantum Fisher information, symmetric logarithmic derivative, classical Fisher information, quantum information, density matrix

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