Dirichlet polynomials, Majorization, and Trumping

Rajesh Pereira, Sarah Plosker

Published 2013-10-18, updated 2013-12-11Version 2

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.