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arXiv · 2301.06463

Criteria of genuine multipartite entanglement based on correlation tensors

Naihuan Jing·Meiming Zhang
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Abstract

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.

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Naihuan Jing, Meiming Zhang. 2023-01-16. Criteria of genuine multipartite entanglement based on correlation tensors. https://doi.org/10.1007/s10773-022-05253-0

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