Quantum Majorization on Semifinite von Neumann Algebras
Operator Algebras
2020-05-29 v1 Quantum Physics
Abstract
We extend Gour et al's characterization of quantum majorization via conditional min-entropy to the context of semifinite von Neumann algebras. Our method relies on a connection between conditional min-entropy and operator space projective tensor norm for injective von Neumann algebras. This approach also connects the tracial Hahn-Banach theorem of Helton, Klep and McCullough to noncommutative vector-valued -space.
Cite
@article{arxiv.1909.10038,
title = {Quantum Majorization on Semifinite von Neumann Algebras},
author = {Priyanga Ganesan and Li Gao and Satish K. Pandey and Sarah Plosker},
journal= {arXiv preprint arXiv:1909.10038},
year = {2020}
}
Comments
39 pages. Comments are welcome!