High Energy Physics - Theory
[Submitted on 21 Oct 2025
]
Title: Multi-entropy from Linking in Chern-Simons Theory
Title: 从Chern-Simons理论中的链接获得的多熵
Abstract: We study the multipartite entanglement structure of quantum states prepared by the Euclidean path integral over three-manifolds with multiple torus boundaries (the so-called link states) in both Abelian and non-Abelian Chern-Simons theories. For three-component link states in the Abelian theory, we derive an explicit formula for the R\'enyi multi-entropy in terms of linking numbers. We further show that the genuine multi-entropy faithfully quantifies the tripartite entanglement generated by GHZ-states, consistent with the fact that the prepared states are stabilizer states.
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