Genuine Multi-Entropy in the Toric Code

2026-10-21 · arXiv Quantum Physics

arXiv:2607.06050v2 Announce Type: replace-cross

Abstract: We study genuine multi-entropy as a diagnostic of multipartite entanglement in the toric code, which provides a controlled setting for probing multipartite structures in topologically ordered states. Our main question is whether genuine multi-entropy captures information that is not reducible to conventional lower-party entropic data, such as topological entanglement entropy. We first analyze toric-code ground states that admit a stabilizer-state description, where the relevant quantities can be evaluated exactly. We conjecture that, for stabilizer states and $\mathtt{q}\ge4$, the $\mathtt{q}$-partite genuine multi-entropy at replica index $n

原文链接：https://arxiv.org/abs/2607.06050

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