Multi-entropy from Linking in Chern-Simons Theory

• URL: http://arxiv.org/abs/2510.18408v1
• Date: Tue, 21 Oct 2025 08:32:14 GMT
• Title: Multi-entropy from Linking in Chern-Simons Theory
• Authors: Ma-Ke Yuan, Mingyi Li, Yang Zhou,
• Abstract summary: We study the multipartite entanglement structure of quantum states prepared by the Euclidean path integral over three-manifolds with multiple torus boundaries.<n>We show that the genuine multi-entropy faithfully quantifies the tripartite entanglement generated by GHZ-states.
• Score: 6.23632438075209
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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