A Separation between Divergence and Holevo Information for Ensembles

Details A Separation between Divergence and Holevo Information for Ensembles A Separation between Divergence and Holevo Information for Ensembles

2007-12-22

arxiv.org/abs/0712.3867v2

Physics

Quantum Physics

15 pages, 1 figure, version 1

Scientific paper

The notion of divergence information of an ensemble of probability distributions was introduced by Jain, Radhakrishnan, and Sen in the context of the ``substate theorem''. Since then, divergence has been recognized as a more natural measure of information in several situations in quantum and classical communication. We construct ensembles of probability distributions for which divergence information may be significantly smaller than the more standard Holevo information. As a result, we establish that lower bounds previously shown for Holevo information are weaker than similar ones shown for divergence information.

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