Trumping and Power Majorization
Functional Analysis
2015-07-22 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
Majorization is a basic concept in matrix theory that has found applications in numerous settings over the past century. Power majorization is a more specialized notion that has been studied in the theory of inequalities. On the other hand, the trumping relation has recently been considered in quantum information, specifically in entanglement theory. We explore the connections between trumping and power majorization. We prove an analogue of Rado's theorem for power majorization and consider a number of examples.
Cite
@article{arxiv.1210.6630,
title = {Trumping and Power Majorization},
author = {David W. Kribs and Rajesh Pereira and Sarah Plosker},
journal= {arXiv preprint arXiv:1210.6630},
year = {2015}
}
Comments
8 pages