2003/05/31 by Dominic W. Berry, Dominic W Berry, Barry C. Sanders +1
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.1088/0305-4470/36/49/008
published as J. Phys A: Math. Gen. 36, 12255 (2003) · 13 pages, 3 figures, published version
openalex publication_date 2003/11/26 · arxiv created 2004/01/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.