Dominic W Berry and Barry C Sanders 2003 J. Phys. A: Math. Gen. 36 12255 doi:10.1088/0305-4470/36/49/008
Dominic W Berry and Barry C Sanders1
Show affiliationsWe 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.
03.67.Mn Entanglement measures, witnesses, and other characterizations
Issue 49 (12 December 2003)
Received 23 May 2003
Published 25 November 2003
Dominic W Berry and Barry C Sanders 2003 J. Phys. A: Math. Gen. 36 12255
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