More on the upper bound of holographic n-partite information

Abstract

We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic $n$-partite information $I_n$ that $n-1$ fixed boundary subregions participate. We develop methods to find the $n$-th region $E$ that makes $I_n$ reach the upper bound. Through the explicit evaluation, it is shown that $I_n$, an IR term without UV divergence, could diverge when the number of intervals or strips in region $E$ approaches infinity. At this upper bound configuration, we could argue that $I_n$ fully comes from the $n-$partite global quantum entanglement. Our results indicate: fewer-partite entanglement in holography emerges from more-partite entanglement; $n-1$ distant local subregions are highly $n$-partite entangling. Moreover, the relationship between the convexity of a boundary subregion and the multipartite entanglement it participates, and the difference between multipartite entanglement structure in different dimensions are revealed as well.

63 pages, 25 figures, v2: minor revision, references added

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Cited by in corpus (4)

• Holographic geometry/real-space entanglement correspondence and metric reconstruction
• Holographic multipartite entanglement structures in IR modified geometries
• Upper bound of holographic entanglement entropy combinations
• New insights on mutual information in the island approach to the Page curve