On Quantum Correlations and Positive Maps

TL;DR

This paper explores the relationship between quantum correlations and entanglement, proving that zero quantum correlations imply separability, and introduces new results on locally decomposable maps.

Contribution

It establishes a connection between quantum correlations and separability, and presents novel findings on locally decomposable maps of independent interest.

Findings

Vanishing quantum correlations imply state separability

New results on locally decomposable maps

Enhanced understanding of quantum correlations and entanglement

Abstract

We present a discussion on local quantum correlations and their relations with entanglement. We prove that vanishing coefficient of quantum correlations implies separability. The new results on locally decomposable maps which we obtain in the course of proof also seem to be of independent interest.