Detection of genuine multipartite entanglement based on principal basis matrix representations. (1st March 2022)

• Record Type: Journal Article
• Authors: Zhao, Hui; Liu, Yu-Qiu; Fei, Shao-Ming; Wang, Zhi-Xi; Jing, Naihuan
• Is Part Of: Laser physics letters. Volume 19:Number 3(2022)
• Publication Date: 2022-03-01
• Subjects: genuine multipartite entanglement -- principal basis -- correlation tensor; Lasers -- Periodicals; Physics -- Periodicals; 621.366
• DOI: 10.1088/1612-202X/ac50af
• Languages: English
• ISSNs: 1612-2011

Abstract

Abstract: We study the genuine multipartite 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 genuine multipartite entanglement of tripartite states. Detailed examples show that our method can detect more entangled states than previous ones.