Pure Maps between Euclidean Jordan Algebras

We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this definition of purity is closed under composition and taking adjoints and thus that the pure maps form a dagger category (whi...

Full description

Bibliographic Details
Main Authors: Abraham Westerbaan, Bas Westerbaan, John van de Wetering
Format: Article
Language:English
Published: Open Publishing Association 2019-01-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1805.11496v2