# Mapping cones and separable states

## TL;DR

This paper explores the relationship between mapping cones, positive maps, and separable states in quantum information theory, revealing how certain compositions lead to super-positive maps and separable states.

## Contribution

It establishes a connection between mapping cones, super-positive maps, and separable states, providing new insights into their structural relationships.

## Key findings

- Composition of maps from a cone with dual cone yields super-positive maps
- Super-positive maps define separable states
- Close relationship between positive maps, super-positive maps, and separability

## Abstract

We study mapping cones and their dual cones of positive maps of the n by n matrices into itself. For a natural class of cones there is a close relationship between maps in the cone, super-positive maps, and separable states. In particular the composition of a map from the cone with a map in the dual cone is super-positive, and so the natural state it defines is separable.