Improved lower bounds on genuine-multipartite-entanglement concurrence

TL;DR

This paper introduces a new observable for GME concurrence, providing analytic lower bounds that improve entanglement detection efficiency over existing methods without requiring full state tomography.

Contribution

It defines a novel observable for GME concurrence and derives improved analytic lower bounds, enhancing entanglement detection methods.

Findings

Bounds outperform existing criteria

Avoids full state tomography

Demonstrated with explicit examples

Abstract

Genuine-multipartite-entanglement (GME) concurrence is a measure of genuine multipartite entanglement that generalizes the well-known notion of concurrence. We define an observable for GME concurrence. The observable permits us to avoid full state tomography and leads to different analytic lower bounds. By means of explicit examples we show that entanglement criteria based on the bounds have a better performance with respect to the known methods.