Detection of multipartite entanglement based on Heisenberg-Weyl representation of density matrices

TL;DR

This paper introduces new criteria for detecting multipartite entanglement in quantum states using the Heisenberg-Weyl representation, demonstrating improved detection capabilities over previous methods.

Contribution

The authors develop entanglement detection criteria based on HW representation and correlation tensors, enhancing detection of genuine multipartite entanglement.

Findings

Detects more entangled states than previous criteria

Applicable to tripartite and four-partite states

Uses correlation tensors in HW representation

Abstract

We study entanglement and genuine entanglement of tripartite and four-partite quantum states by using Heisenberg-Weyl (HW) representation of density matrices. Based on the correlation tensors in HW representation, we present criteria to detect entanglement and genuine tripartite and four-partite entanglement. Detailed examples show that our method can detect more entangled states than previous criteria.