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arXiv · 2512.18726

A graphical framework for proving holographic entanglement entropy inequalities in multipartite systems

Chia-Jui Chou·Hans B. Lao·Yi Yang
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Abstract

We present a graphical method for proving holographic entanglement entropy inequalities (HEIs) in general multipartite systems. By introducing a geometric representation of the entanglement structure, we develop a systematic approach that enables one to visualize and verify the validity of HEIs for any number of subsystems $n$. Several theorems are established to formalize this method, and explicit examples are provided for systems with $n = 4$ to $7$ entangled regions.

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Chia-Jui Chou, Hans B. Lao, Yi Yang. 2025-12-21. A graphical framework for proving holographic entanglement entropy inequalities in multipartite systems. https://arxiv.org/abs/2512.18726

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