publication . Part of book or chapter of book . Preprint . Article . 2007

a separation between divergence and holevo information for ensembles

RAHUL JAIN; ASHWIN NAYAK; YI SU;
Open Access
  • Published: 22 Dec 2007
  • Publisher: Springer Berlin Heidelberg
Abstract
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.
Subjects
free text keywords: Kullback–Leibler divergence, Divergence (statistics), Mathematics, Jensen–Shannon divergence, Divergence, Holevo's theorem, Quantum state, Discrete mathematics, Classical capacity, Combinatorics, Probability distribution, Mathematics (miscellaneous), Computer Science Applications, Natural measure, Quantum, Quantum Physics
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)

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