New Perspectives and some Celebrated Quantum Inequalities

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 Maréchal's extended perspectives provides additional inequalities, including a $p+q\le 1$ result of Lieb.

References in corpus (1)

• Another Short and Elementary Proof of Strong Subadditivity of Quantum Entropy