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 $p+q\leq 1$ result of Lieb.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2008
- arXiv:
- arXiv:0802.0006
- Bibcode:
- 2008arXiv0802.0006E
- Keywords:
-
- Mathematical Physics;
- Computer Science - Information Theory;
- 81P68