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

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Wigner-Yanase skew information vs. quantum Fisher information

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

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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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Quantum detection and estimation theory
Helstrom, C. W. (1969) · Journal of Statistical Physics · doi:10.1007/bf01007479 · Cited by 3,776
Theory of Statistical Estimation
Fisher, R. A. (1925) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100009580 · Cited by 2,684
Differential-Geometrical Methods in Statistics
Amari, S.-I. (1985) · Lecture Notes in Statistics · doi:10.1007/978-1-4612-5056-2 · Cited by 1,673
NONCOMMUTATIVE GEOMETRY
Blanchard, É., Ellwood, D., Khalkhali, M., Marcolli, M., Moscovici, H., & Popa, S. (1995) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789812831026_0011 · Cited by 990
INFORMATION CONTENTS OF DISTRIBUTIONS
Wigner, E. P., & Yanase, M. M. (1963) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.49.6.910 · Cited by 686
Physics from Fisher Information
Frieden, B. R. (1998) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622670 · Cited by 593
Monotone metrics on matrix spaces
Petz, D. (1996) · Linear Algebra and its Applications · doi:10.1016/0024-3795(94)00211-8 · Cited by 585
Homogeneity of the state space of factors of type III1
Alain Connes, A., & Størmer, E. (1978) · Journal of Functional Analysis · doi:10.1016/0022-1236(78)90085-x · Cited by 114
XIX.—On the Reciprocation of Certain Matrices
Collar, A. R. (1940) · Proceedings of the Royal Society of Edinburgh · doi:10.1017/s0370164600012281 · Cited by 83
On the Positive Semidefinite Nature of a Certain Matrix Expression
Wigner, E. P., & Yanase, M. M. (1964) · Canadian Journal of Mathematics · doi:10.4153/cjm-1964-041-x · Cited by 46

Show all 10 references

Research works printed but not linked: 1

Chentsov, N. N., 1972, {\cyr Statisticheskie reshayushchie pravila i optimal\cprime nye vyvody}

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Authors: Luo, S.
Affiliations: Chinese Academy of Sciences (CN)
Corresponding author: Luo, Shunlong
ORCID: Luo, Shunlong
Venue: Proceedings of the American Mathematical Society
Publisher: American Mathematical Society (AMS)
Published: 2003-07-07
Volume: 132
Issue: 3
Pages: 885-890
ISSN: 0002-9939 (ISSN-L)
1088-6826
DOI: 10.1090/s0002-9939-03-07175-2
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: bronze
doi.org
Licence: www.ams.org/publications/copyright-and-permissions (am, 366 d)
Locations: Proceedings of the American Mathematical Society (publishedVersion)
Funders: National Natural Science Foundation of China (10131040)
Topics: Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › 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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Wigner-Yanase skew information vs. quantum Fisher information

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