Extending a characterization of majorization to infinite dimensions
Quantum Physics
2014-05-13 v1 Mathematical Physics
Functional Analysis
math.MP
Number Theory
Abstract
We consider recent work linking majorization and trumping, two partial orders that have proven useful with respect to the entanglement transformation problem in quantum information, with general Dirichlet polynomials, Mellin transforms, and completely monotone sequences. We extend a basic majorization result to the more physically realistic infinite-dimensional setting through the use of generalized Dirichlet series and Riemann-Stieltjes integrals.
Cite
@article{arxiv.1405.2845,
title = {Extending a characterization of majorization to infinite dimensions},
author = {Rajesh Pereira and Sarah Plosker},
journal= {arXiv preprint arXiv:1405.2845},
year = {2014}
}
Comments
8 pages