Quantum Majorization on Semifinite von Neumann Algebras

Autor:	Ganesan, Priyanga, Gao, Li, Pandey, Satish K., Plosker, Sarah
Rok vydání:	2019
Předmět:	Mathematics - Operator Algebras Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jfa.2020.108650
Popis:	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 $L_1$-space. Comment: 39 pages. Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.10038 Zobrazit plný text záznamu View this record from Arxiv