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arXiv · 2309.15145

Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting

Bartlomiej Czech·Sirui Shuai·Yixu Wang·Daiming Zhang
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Abstract

We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting (EWN). It associates the inequalities with tessellations of the torus and the projective plane, which reflect a certain topological aspect of EWN. The inequalities prove a prior conjecture about the structure of the holographic entropy cone and show an interesting interplay with differential entropy.

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Bartlomiej Czech, Sirui Shuai, Yixu Wang, Daiming Zhang. 2023-09-26. Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting. https://arxiv.org/abs/2309.15145

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