New Perspectives and some Celebrated Quantum Inequalities
Abstract
Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the HansenPedersenJensen 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 eprints
 Pub Date:
 January 2008
 DOI:
 10.48550/arXiv.0802.0006
 arXiv:
 arXiv:0802.0006
 Bibcode:
 2008arXiv0802.0006E
 Keywords:

 Mathematical Physics;
 Computer Science  Information Theory;
 81P68