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Bibliographic Details
Main Authors: Balasubramanian, Vijay, Chan, William K. L., Kang, Monica Jinwoo, Murdia, Chitraang, Ross, Simon F.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2606.00210
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Table of 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).