On the foundations and extremal structure of the holographic entropy cone

DOI10.1016/j.dam.2022.11.016OpenAlexW3132155589MaRDI QIDQ2685693

Sergio Hernández-Cuenca, David Avis

Publication date: 22 February 2023

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07535

zbMATH Keywords

entropy inequalitiesextreme rayspolyhedral computationfacetsquantum informationcut functionsholographic entropy cone

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Communication, information (94Axx)

Related Items (1)

Improved proof-by-contraction method and relative homologous entropy inequalities

Cites Work

• Holographic entanglement entropy
• Building up spacetime with quantum entanglement
• On submodular function minimization
• Counting families of mutually intersecting sets
• Superbalance of holographic entropy inequalities
• Holographic entropy cone with time dependence in two dimensions
• Submodular functions and optimization.
• The holographic entropy cone
• The holographic entropy cone from marginal independence
• Quantum Computation and Quantum Information
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• On Dedekind's Problem: The Number of Isotone Boolean Functions. II
• The inequalities of quantum information theory
• Hypergraph min-cuts from quantum entropies
• Holographic Entropy Relations
• The Holographic Entropy Arrangement

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