Bounds on general entropy measures

Dominic W. Berry*, Barry C. Sanders

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


We show how to determine the maximum and minimum possible values of one measure of entropy for a given value of another measure of entropy. These maximum and minimum values are obtained for two standard forms of probability distribution (or quantum state) independent of the entropy measures, provided the entropy measures satisfy a concavity/convexity relation. These results may be applied to entropies for classical probability distributions, entropies of mixed quantum states and measures of entanglement for pure states.

Original languageEnglish
Pages (from-to)12255-12265
Number of pages11
JournalJournal of Physics A: Mathematical and General
Issue number49
Publication statusPublished - 12 Dec 2003


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