A generalized skew information and uncertainty relation

Creators Yanagi Kenjiro

Creators Furuichi Shigeru

Creators Kuriyama Ken

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.

Copyright c2005 IEEE. Reprinted from IEEE Transactions on Information Theory, vol 51, no 12, 2005, p. 4401-4404. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Yamaguchi University Library's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org.()

[ISSN]0018-9448

[NCID]AA00667911

[isVersionOf] [URI]http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18