Related papers: Criteria of genuine multipartite entanglement based on correlation tensors

Criteria of genuine multipartite entanglement based on correlation tensors

URL: http://arxiv.org/abs/2301.06463v1
Date: Mon, 16 Jan 2023 15:08:33 GMT
Title: Criteria of genuine multipartite entanglement based on correlation tensors
Authors: Naihuan Jing, Meiming Zhang
Abstract summary: 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.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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