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  • Letter
  • Open Access

Holographic entropy inequalities and the topology of entanglement wedge nesting

Bartłomiej Czech, Sirui Shuai, Yixu Wang, and Daiming Zhang

  • Institute for Advanced Study, Tsinghua University, Beijing 100084, China

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Phys. Rev. D 109, L101903 – Published 10 May, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L101903

Abstract

We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities that is based on entanglement wedge nesting. It associates the inequalities with tessellations of the torus and the projective plane, which reflect a certain topological aspect of entanglement wedge nesting. The inequalities prove a prior conjecture about the holographic entropy cone. We discuss their relation to black hole physics and differential entropy, and sketch applications to quantum error correction, quantifying randomness of quantum states, and others.

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Phys. Rev. D 109, L101903– Published 10 May, 2024
  • Received 5 November 2023
  • Accepted 5 March 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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