A generalized skew information and uncertainty relation
<|reference_start|>A generalized skew information and uncertainty relation: 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.<|reference_end|>
@article{yanagi2005a,
    title={A generalized skew information and uncertainty relation},
    author={Kenjiro Yanagi, Shigeru Furuichi and Ken Kuriyama},
    journal={IEEE Trans. on Information Theory,Vol.51(2005),pp.4401-4404},
    year={2005},
    doi={10.1103/PhysRevA.72.022302},
    archivePrefix={arXiv},
    eprint={quant-ph/0501152},
    primaryClass={quant-ph cs.IT math.IT}
}