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arXiv:quant-ph/0501152 · IEEE Transactions on Information Theory

A Generalized Skew Information and Uncertainty Relation

Kenjiro Yanagi, Shigeru Furuichi, Ken Kuriyama

Published Nov 22, 2005• 53 citations
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Abstract

A generalized skew information is defined and a generalized uncertainty relation is established with the help of a trace inequality which was recently proven by Fujii. In addition, we prove the trace inequality conjectured by Luo and Zhang. Finally, we point out that Theorem 1 in S. Luo and Q. Zhang, IEEE Trans. Inf. Theory, vol. 50, pp. 1778-1782, no. 8, Aug. 2004 is incorrect in general, by giving a simple counter-example.

DOI
10.1109/tit.2005.858971

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