A class of positive atomic maps

TL;DR

This paper introduces a new class of atomic positive maps in matrix algebras, which serve as entanglement witnesses capable of detecting the weakest forms of quantum entanglement, advancing quantum information theory.

Contribution

The authors construct a novel class of atomic positive indecomposable maps with minimal positivity properties, expanding tools for entanglement detection.

Findings

New class of atomic positive maps constructed

Maps can detect states with minimal entanglement

Provides new tools for quantum entanglement investigation

Abstract

We construct a new class of positive indecomposable maps in the algebra of `d x d' complex matrices. These maps are characterized by the `weakest' positivity property and for this reason they are called atomic. This class provides a new reach family of atomic entanglement witnesses which define important tool for investigating quantum entanglement. It turns out that they are able to detect states with the `weakest' quantum entanglement.