More on the upper bound of holographic n-partite information
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| Format: | Preprint |
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2024
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| _version_ | 1866909553229037568 |
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| author | Ju, Xin-Xiang Pan, Wen-Bin Sun, Ya-Wen Wang, Yuan-Tai Zhao, Yang |
| author_facet | Ju, Xin-Xiang Pan, Wen-Bin Sun, Ya-Wen Wang, Yuan-Tai Zhao, Yang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19207 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | More on the upper bound of holographic n-partite information Ju, Xin-Xiang Pan, Wen-Bin Sun, Ya-Wen Wang, Yuan-Tai Zhao, Yang High Energy Physics - Theory 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. |
| title | More on the upper bound of holographic n-partite information |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.19207 |