Duality of cones of positive maps
Erling St{\o}rmer
TL;DR
This paper investigates the duality properties of cones of K-positive linear maps between operator spaces, providing characterizations and applications to decomposable maps and PPT-states in finite-dimensional quantum systems.
Contribution
It offers a new characterization of the dual cone of K-positive maps and explores their applications in quantum information theory.
Findings
Characterization of the dual cone of K-positive maps
Application to decomposable maps
Application to PPT-states
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Differential Equations and Dynamical Systems · Advanced Operator Algebra Research