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Wigner-Yanase skew information vs. quantum Fisher information
Author:
Shunlong Luo
Journal:
Proc. Amer. Math. Soc. 132 (2004), 885-890
MSC (2000):
Primary 62B10, 94A17; Secondary 46L30, 46L60
Posted:
July 7, 2003
MathSciNet review:
2019969
Full-text PDF Free Access
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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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Additional Information
Shunlong Luo
Affiliation:
Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080 People’s Republic of China
Email:
luosl@mail.amt.ac.cn
DOI:
http://dx.doi.org/10.1090/S0002-9939-03-07175-2
PII:
S 0002-9939(03)07175-2
Keywords:
Fisher information,
density operators,
von Neumann-Landau equation,
skew information,
quantum Fisher information
Received by editor(s):
January 23, 2002
Received by editor(s) in revised form:
November 16, 2002
Posted:
July 7, 2003
Additional Notes:
This work was supported by the NSF of China, Grant No. 10131040
Communicated by:
David R. Larson
Article copyright:
© Copyright 2003 American Mathematical Society
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