Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices

• URL: http://arxiv.org/abs/2203.14183v1
• Date: Sun, 27 Mar 2022 02:07:23 GMT
• Title: Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices
• Authors: Hui Zhao, Yu-Qiu Liu, Naihuan Jing, Zhi-Xi Wang and Shao-Ming Fei
• Abstract summary: We study the genuine multipartite entanglement in tripartite quantum systems. By using the Schmidt decomposition and local unitary transformation, we convert the general states to simpler forms. Using these special matrices, we obtain new criteria for genuine multipartite entanglement.
• Score: 1.3319340093980596
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the genuine multipartite entanglement in tripartite quantum systems. By using the Schmidt decomposition and local unitary transformation, we convert the general states to simpler forms and consider certain matrices from correlation tensors in the Bloch representation of the simplified density matrices. Using these special matrices, we obtain new criteria for genuine multipartite entanglement. Detail examples show that our criteria are able to detect more tripartite entangled and genuine tripartite entangled states than some existing criteria.

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