Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices

TL;DR

This paper introduces new criteria for detecting genuine tripartite entanglement in quantum systems by analyzing correlation tensors in the Bloch representation, improving detection over existing methods.

Contribution

It develops novel criteria based on correlation tensors and Bloch representation, enhancing the detection of genuine tripartite entanglement.

Findings

Criteria detect more entangled states than previous methods

Effective in identifying genuine tripartite entanglement

Applicable to various tripartite quantum states

Abstract

We study the genuine multipartite entanglement in tripartite quantum systems. By using the Schmidt decomposition and local unitary transformation, we convert the general states to simpler forms and consider certain matrices from correlation tensors in the Bloch representation of the simplified density matrices. Using these special matrices, we obtain new criteria for genuine multipartite entanglement. Detail examples show that our criteria are able to detect more tripartite entangled and genuine tripartite entangled states than some existing criteria.