%0 Journal Article
%T A Holevo-Type Bound for a Hilbert Schmidt Distance Measure
%A Boaz Tamir
%A Eliahu Cohen
%J Journal of Quantum Information Science
%P 127-133
%@ 2162-576X
%D 2015
%I Scientific Research Publishing
%R 10.4236/jqis.2015.54015
%X We prove a new version of the Holevo bound employing the Hilbert-Schmidt norm instead of the Kullback-Leibler divergence. Suppose Alice is sending classical information to Bob by using a quantum channel while Bob is performing some projective measurements. We bound the classical mutual information in terms of the Hilbert-Schmidt norm by its quantum Hilbert-Schmidt counterpart. This constitutes a Holevo-type upper bound on the classical information transmission rate via a quantum channel. The resulting inequality is rather natural and intuitive relating classical and quantum expressions using the same measure.
%K Holevo Bound
%K Hilbert-Schmidt Norm
%K Entanglement Measures
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=61982