Title :
A generalized skew information and uncertainty relation
Author :
Yanagi, Kenjiro ; Furuichi, Shigeru ; Kuriyama, Ken
Author_Institution :
Dept. of Appl. Sci., Yamaguchi Univ., Japan
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.
Keywords :
indeterminancy; information theory; matrix algebra; generalized skew information; trace inequality; uncertainty relation; Calculus; Cities and towns; Computer science; Entropy; Hilbert space; Information theory; Linear matrix inequalities; Quantum mechanics; Uncertainty; Skew information; trace inequalities and uncertainty relation;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.858971
