A generalized skew information and uncertainty relation
Quantum Physics
2013-05-29 v2 Information Theory
math.IT
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 J.I.Fujii. In addition, we prove the trace inequality conjectured by S.Luo and Z.Zhang. Finally we point out that Theorem 1 in {\it S.Luo and Q.Zhang, IEEE Trans.IT, Vol.50, pp.1778-1782 (2004)} is incorrect in general, by giving a simple counter-example.
Cite
@article{arxiv.quant-ph/0501152,
title = {A generalized skew information and uncertainty relation},
author = {Kenjiro Yanagi and Shigeru Furuichi and Ken Kuriyama},
journal= {arXiv preprint arXiv:quant-ph/0501152},
year = {2013}
}
Comments
to appear in IEEE TIT