Duality of cones of positive maps

2008/10/23 by Erling Størmer, Størmer, Erling
Mathematics · #46L99 #Advanced Differential Equations and Dynamical Systems #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.0810.4253

openalex publication_date 2008/10/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/03

Abstract

We study the so-called K-positive linear maps from B(L) into B(H) for finite dimensional Hilbert spaces L and H and give characterizations of the dual cone of the cone of K-positive maps. Applications are given to decomposable maps and PPT-states.

Citations

• Completely positive linear maps on complex matrices
• Entanglement Breaking Channels
• Separable states and positive maps

Related

• Mapping cones of positive maps
• A completely positive map associated with a positive map
• Mapping cones and separable states
• k-Positive Maps: New Characterizations and a Generation Method
• Matrix-Test Duality: A Support-Function Characterization for C^*-Convex Families of CP Maps