Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting

• URL: http://arxiv.org/abs/2309.15145v1
• Date: Tue, 26 Sep 2023 18:00:01 GMT
• Title: Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting
• Authors: Bartlomiej Czech, Sirui Shuai, Yixu Wang and Daiming Zhang
• Abstract summary: 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)
• Score: 0.5852077003870417
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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