Detecting genuine multipartite entanglement of pure states with bipartite correlations

TL;DR

This paper introduces a method to detect genuine multipartite entanglement in pure states using bipartite correlations, leveraging monogamy properties to identify different entanglement structures.

Contribution

It presents a simple set of conditions based on bipartite correlations to determine multipartite entanglement and exclude k-separability in pure multi-qubit states.

Findings

Conditions effectively detect various types of multipartite entanglement.

Method can exclude the possibility of k-separability.

Applicable to arbitrary pure multi-qubit states.

Abstract

Monogamy of bipartite correlations leads, for arbitrary pure multi-qubit states, to simple conditions able to indicate various types of multipartite entanglement by being capable to exclude the possibility of k-separability.