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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Wigner-Yanase skew information vs. quantum Fisher information
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by Shunlong Luo PDF
Proc. Amer. Math. Soc. 132 (2004), 885-890 Request permission

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
  • Received by editor(s): January 23, 2002
  • Received by editor(s) in revised form: November 16, 2002
  • Published electronically: July 7, 2003
  • Additional Notes: This work was supported by the NSF of China, Grant No. 10131040
  • Communicated by: David R. Larson
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 885-890
  • MSC (2000): Primary 62B10, 94A17; Secondary 46L30, 46L60
  • DOI: https://doi.org/10.1090/S0002-9939-03-07175-2
  • MathSciNet review: 2019969