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Note on the Wigner-Yanase-Dyson Skew Information

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Abstract

In this note, releasing the restriction on operators which are observables (self-adjoint), a generalization of the Wigner-Yanase-Dyson skew information is given. We study some properties of the generalization of the Wigner-Yanase-Dyson skew information and related quantities from the operator theory point of view. In particular, an elementary proof of the convexity with the Wigner-Yanase-Dyson skew information is obtained.

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Acknowledgements

The author would like to thank the anonymous referees for his/her valuable comments and suggestions which helped to improve the presentation of this paper.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, People’s Republic of China

    Yan-Ni Dou & Hong-Ke Du

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  1. Yan-Ni Dou
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  2. Hong-Ke Du
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Corresponding author

Correspondence to Hong-Ke Du.

Additional information

This research was partially supported by the National Natural Science Foundation of China (No. 11171197, 11301318, 11226124), and the Fundamental Research Funds for the Central Universities (GK201301007).

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Dou, YN., Du, HK. Note on the Wigner-Yanase-Dyson Skew Information. Int J Theor Phys 53, 952–958 (2014). https://doi.org/10.1007/s10773-013-1886-7

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  • DOI: https://doi.org/10.1007/s10773-013-1886-7

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