A Sharp Fannes-type Inequality for the von Neumann Entropy
arXiv:quant-ph/0610146 · doi:10.1088/1751-8113/40/28/S18
Abstract
We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to M. Fannes. In our inequality, equality can be attained for every prescribed value of the trace norm distance.
5 pages, 3 figures
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