We revisit the genuine multipartite entanglement by a simplified method, which only involves the Schmidt decomposition and local unitary transformation. We construct a local unitary equivalent class of the tri-qubit quantum state, then use the trace norm of the whole correlation tensor as a measurement to detect genuine multipartite entanglement. By detailed examples, we show our result can detect more genuinely entangled states. Furthermore, we generalize the genuine multipartite entanglement criterion to tripartite higher-dimensional systems.
@article{arxiv.2301.06463,
title = {Criteria of genuine multipartite entanglement based on correlation tensors},
author = {Naihuan Jing and Meiming Zhang},
journal= {arXiv preprint arXiv:2301.06463},
year = {2023}
}