A generalized skew information and uncertainty relation

Preprint

16 August 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0501152

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.

Keywords

GENERALIZED UNCERTAINTY RELATION
GENERALIZED SKEW INFORMATION
UNCERTAINTY RELATION
TRACE INEQUALITY
S.LUO

All Related Versions

Version 1, 2005-01-26, ArXiv
Version 2, 2005-08-16, ArXiv
Published version: Physical Review A, 72 (2), 022302.

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