Dirichlet polynomials, Majorization, and Trumping
Quantum Physics
2013-12-12 v2 Mathematical Physics
Functional Analysis
math.MP
Number Theory
Abstract
Majorization and trumping are two partial orders which have proved useful in quantum information theory. We show some relations between these two partial orders and generalized Dirichlet polynomials, Mellin transforms, and completely monotone functions. These relations are used to prove a succinct generalization of Turgut's characterization of trumping.
Cite
@article{arxiv.1310.5088,
title = {Dirichlet polynomials, Majorization, and Trumping},
author = {Rajesh Pereira and Sarah Plosker},
journal= {arXiv preprint arXiv:1310.5088},
year = {2013}
}
Comments
14 pages; corrected the accidental omission of the two zeros of \zeta in Observation 3.2