Detection of multipartite entanglement via quantum Fisher information

TL;DR

This paper introduces methods based on quantum Fisher information to detect different levels of multipartite entanglement and $k$-nonseparability, identifying cases beyond existing criteria.

Contribution

The paper proposes novel quantum Fisher information-based techniques for detecting $k$-nonseparability and $k$-partite entanglement, surpassing previous methods.

Findings

Successfully detects $k$-nonseparability and $k$-partite entanglement beyond known criteria.

Provides concrete examples demonstrating the effectiveness of the methods.

Enhances understanding of multipartite entanglement detection.

Abstract

In this paper, we focus on two different kinds of multipartite correlation, $k$-nonseparability and $k$-partite entanglement, both of which can describe the essential characteristics of multipartite entanglement. We propose effective methods to detect $k$-nonseparability and $k$-partite entanglement in terms of quantum Fisher information. We illustrate the significance of our results and show that they identify some $k$-nonseparability and $k$-partite entanglement that cannot be identified by known criteria by several concrete examples.