Improved tests of genuine entanglement for multiqudits
Xia Zhang, Naihuan Jing, Hui Zhao, Ming Liu, Haitao Ma

TL;DR
This paper introduces an enhanced method for detecting genuine multipartite entanglement in high-dimensional quantum systems, utilizing generalized Bloch representations and Weyl operators, outperforming previous criteria.
Contribution
The authors develop a stronger, practical criterion for genuine multipartite entanglement detection in multiqudit systems using generalized Bloch representations and Weyl operators.
Findings
The new criterion outperforms recent entanglement detection methods.
It is applicable to higher-dimensional quantum systems.
The test is practically implementable for complex quantum states.
Abstract
We give an improved criterion of genuine multipartite entanglement for an important class of multipartite quantum states using generalized Bloch representations of the density matrices. The practical criterion is designed based on the Weyl operators and can be used for detecting genuine multipartite entanglement in higher dimensional systems. The test is shown to be significantly stronger than some of the most recent criteria.
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