Bound entanglement detection in $4 \otimes 4$ systems via generalized Choi maps

TL;DR

This paper introduces a family of positive linear maps for four-dimensional spaces to identify bound entanglement in high-dimensional quantum systems.

Contribution

It presents a novel set of maps that effectively detect bound entanglement, advancing quantum entanglement detection methods.

Findings

Successfully detects bound entanglement in $4 imes 4$ systems.

Provides a new approach using generalized Choi maps.

Enhances understanding of entanglement in high-dimensional systems.

Abstract

We construct a family of positive but not completely positive linear maps acting on four dimensional space. We employ these maps to detect bound entanglement in high dimensional quantum systems.