Criteria of Genuine Multipartite Entanglement Based on Correlation Tensors

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.

Automated summary

In this paper, the genuine multipartite entanglement was revisited using a simplified method involving Schmidt decomposition and local unitary transformation. A measurement based on the trace norm of the whole correlation tensor was proposed to detect genuine multipartite entanglement, and the criterion was extended to tripartite higher-dimensional systems.