New Perspectives and some Celebrated Quantum Inequalities
Mathematical Physics
2008-02-04 v2 Information Theory
math.IT
math.MP
Abstract
Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given in terms of the matrix perspective of an operator convex function. A matrix analogue of Mar\'{e}chal's extended perspectives provides additional inequalities, including a result of Lieb.
Cite
@article{arxiv.0802.0006,
title = {New Perspectives and some Celebrated Quantum Inequalities},
author = {Edward G. Effros},
journal= {arXiv preprint arXiv:0802.0006},
year = {2008}
}