A Sharp Fannes-type Inequality for the von Neumann Entropy

Details A Sharp Fannes-type Inequality for the von Neumann Entropy A Sharp Fannes-type Inequality for the von Neumann Entropy

2006-10-18

arxiv.org/abs/quant-ph/0610146v1

J. Phys. A 40, 8127--8136 (2007).

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1088/1751-8113/40/28/S18

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.

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