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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2606.00210 |
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| _version_ | 1866918532494655488 |
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| author | Balasubramanian, Vijay Chan, William K. L. Kang, Monica Jinwoo Murdia, Chitraang Ross, Simon F. |
| author_facet | Balasubramanian, Vijay Chan, William K. L. Kang, Monica Jinwoo Murdia, Chitraang Ross, Simon F. |
| contents | We show that in pure time-reflection-symmetric holographic states all known four-party entanglement signals vanish unless the triple information $I_3$ is non-zero. In this sense, our results show that $I_3$ is the strongest known signal of the presence of quadripartite entanglement. Additionally, $I_3$ quantitatively bounds all four-party entanglement signals built from the multi-entropy. However, the residual entropy $Q_4$, also a measure of four-party entanglement, is not bounded by $I_3$, although $I_3=0$ does imply $Q_4=0$ for holographic states (except on a set of measure zero for which $Q_4$ is ill-defined). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00210 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constraints on four-party entanglement in holography Balasubramanian, Vijay Chan, William K. L. Kang, Monica Jinwoo Murdia, Chitraang Ross, Simon F. High Energy Physics - Theory We show that in pure time-reflection-symmetric holographic states all known four-party entanglement signals vanish unless the triple information $I_3$ is non-zero. In this sense, our results show that $I_3$ is the strongest known signal of the presence of quadripartite entanglement. Additionally, $I_3$ quantitatively bounds all four-party entanglement signals built from the multi-entropy. However, the residual entropy $Q_4$, also a measure of four-party entanglement, is not bounded by $I_3$, although $I_3=0$ does imply $Q_4=0$ for holographic states (except on a set of measure zero for which $Q_4$ is ill-defined). |
| title | Constraints on four-party entanglement in holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2606.00210 |