Detection of tripartite entanglement based on principal basis matrix representations
Quantum Physics
2023-10-13 v2
Abstract
We study the entanglement in tripartite quantum systems by using the principal basis matrix representations of density matrices. Using the Schmidt decomposition and local unitary transformation, we first convert the general states to simpler forms and then construct some special matrices from the correlation tensors of the simplified density matrices. Based on the different linear combinations of these matrices, necessary conditions are presented to detect entanglement of tripartite states. Detailed examples show that our method can detect more entangled states than previous ones.
Keywords
Cite
@article{arxiv.2202.06176,
title = {Detection of tripartite entanglement based on principal basis matrix representations},
author = {Hui Zhao and Yu-Qiu Liu and Shao-Ming Fei and Zhi-Xi Wang and Naihuan Jing},
journal= {arXiv preprint arXiv:2202.06176},
year = {2023}
}