Detection of tripartite entanglement based on principal basis matrix representations

• URL: http://arxiv.org/abs/2202.06176v2
• Date: Sat, 5 Aug 2023 14:56:17 GMT
• Title: Detection of tripartite entanglement based on principal basis matrix representations
• Authors: Hui Zhao, Yu-Qiu Liu, Shao-Ming Fei, Zhi-Xi Wang and Naihuan Jing
• Abstract summary: We study the entanglement in tripartite quantum systems by using the principal basis matrix representations of density matrices. Detailed examples show that our method can detect more entangled states than previous ones.
• Score: 1.3319340093980596
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the entanglement in tripartite quantum systems by using the principal basis matrix representations of density matrices. Using the Schmidt decomposition and local unitary transformation, we first convert the general states to simpler forms and then construct some special matrices from the correlation tensors of the simplified density matrices. Based on the different linear combinations of these matrices, necessary conditions are presented to detect entanglement of tripartite states. Detailed examples show that our method can detect more entangled states than previous ones.

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