Local extrema of entropy functions under tensor products
Mathematical Physics
2013-08-15 v1 math.MP
Quantum Physics
Abstract
We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.
Keywords
Cite
@article{arxiv.1105.5380,
title = {Local extrema of entropy functions under tensor products},
author = {Shmuel Friedland and Gilad Gour and Aidan Roy},
journal= {arXiv preprint arXiv:1105.5380},
year = {2013}
}
Comments
9 pages, comments are welcome