Constructions of indecomposable positive maps based on a new criterion for indecomposability

TL;DR

This paper introduces a new criterion for indecomposability of positive maps, enabling the construction of entanglement detection tools for bound entangled quantum states.

Contribution

It proposes a novel criterion for positive map indecomposability and applies it to develop new separability criteria for bipartite quantum states.

Findings

Criterion effectively detects bound entanglement

Constructs new indecomposable positive maps

Enhances entanglement detection methods

Abstract

We give a criterion for a positive mapping on the space of operators on a Hilbert space to be indecomposable. We show that this criterion can be applied to two families of positive maps. These families of maps can then be used to form separability criteria for bipartite quantum states that can detect the entanglement of bound entangled quantum states.