Detection of Genuine Multipartite Entanglement in Arbitrary Multipartite systems

TL;DR

This paper presents a new framework for detecting genuine multipartite entanglement in quantum states of arbitrary dimensions, using correlation tensors and generalized Pauli operators, outperforming existing criteria.

Contribution

The authors introduce a general, effective criterion for detecting genuine multipartite entanglement applicable to arbitrary-dimensional systems, enhancing detection capabilities.

Findings

The criterion detects more genuine multipartite entanglement than existing methods.

The framework applies to quantum states of arbitrary dimensions.

Examples demonstrate improved detection performance.

Abstract

We study the genuine multipartite entanglement of arbitrary $n$-partite quantum states by representing the density matrices in terms of the generalized Pauli operators. We introduce a general framework for detecting genuine multipartite entanglement and non full-separability of multipartite quantum states with arbitrary dimensions based on correlation tensors. Effective criterion is derived to verify the genuine multipartite entanglement. Detailed examples are given to show that the criterion detects more genuine multipartite entanglement than the existing criteria.