On the structure of entanglement witnesses and new class of positive indecomposable maps

TL;DR

This paper introduces a new class of positive indecomposable maps characterized by cyclic bistochastic matrices, generalizing the Choi map, and providing powerful tools for quantum entanglement analysis.

Contribution

The authors construct a novel family of positive indecomposable maps in matrix algebras, extending the Choi map to higher dimensions and enriching the set of entanglement witnesses.

Findings

New class of indecomposable maps characterized by cyclic bistochastic matrices

Generalization of the Choi map for dimension d=3 and beyond

Enhanced tools for detecting quantum entanglement

Abstract

We construct a new class of positive indecomposable maps in the algebra of 'd x d' complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes a Choi map for d=3. It provides a new reach family of indecomposable entanglement witnesses which define important tool for investigating quantum entanglement.