Dirichlet polynomials, Majorization, and Trumping

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.

14 pages; corrected the accidental omission of the two zeros of ζin Observation 3.2

References in corpus (4)

• Necessary and Sufficient Conditions for the Trumping Relation
• Catalytic Conversion Probabilities for Bipartite Pure States
• Catalytic majorization and ${\ell }_p$ norms
• Inequalities that Collectively Completely Characterize the Catalytic Majorization Relation

Cited by in corpus (2)

• Extending a characterization of majorization to infinite dimensions
• A finite sufficient set of conditions for catalytic majorization