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Published in:
2008 | OriginalPaper | Chapter
A Separation between Divergence and Holevo Information for Ensembles
Authors : Rahul Jain, Ashwin Nayak, Yi Su
Published in: Theory and Applications of Models of Computation
Publisher: Springer Berlin Heidelberg
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The notion of
divergence information
of an ensemble of probability distributions was introduced by Jain, Radhakrishnan, and Sen [1,2] 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.