Bounds on general entropy measures

Details Bounds on general entropy measures Bounds on general entropy measures

2003-05-12

arxiv.org/abs/quant-ph/0305059v3

J. Phys A: Math. Gen. 36, 12255 (2003)

Physics

Quantum Physics

13 pages, 3 figures, published version

Scientific paper

10.1088/0305-4470/36/49/008

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.

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