Detection of Genuine Multipartite Entanglement in Multipartite Systems
Jing Yun Zhao, Hui Zhao, Naihuan Jing, Shao-Ming Fei

TL;DR
This paper introduces an analytical criterion based on correlation tensor norms to detect genuine multipartite entanglement, applicable to systems with any number of parties, enhancing the tools for quantum entanglement analysis.
Contribution
It provides a new, generalized analytical method for detecting genuine multipartite entanglement in complex quantum systems.
Findings
Derived a sufficient criterion for four-partite entanglement
Generalized the criterion to arbitrary multipartite systems
Enhanced detection capabilities for quantum entanglement
Abstract
We investigate genuine multipartite entanglement in general multipartite systems. Based on the norms of the correlation tensors of a multipartite state under various partitions, we present an analytical sufficient criterion for detecting the genuine four-partite entanglement. The results are generalized to arbitrary multipartite systems.
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