Tripartite Form Universality in Holographic Entropy Inequalities

arXiv:2609.22504 · hep-th, quant-ph · Submitted 2026-09-18 · Read on arXiv

hep-th, quant-ph

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Entanglement — 12× in this paper · explained in 3 episodes
• Redundancy — 3× in this paper · explained in 2 episodes
• Alternation — 2× in this paper · explained in 1 episode
• Entanglement Entropy — 2× in this paper · explained in 2 episodes
• Center for Quantum Mathematics and Physics — 1× in this paper
• Hypergraph — 1× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Structural Constraints — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Holographic Entropy Inequalities and Multipartite Entanglement
• Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting
• Minimax surfaces and the holographic entropy cone
• A new characterization of the holographic entropy cone
• Holographic entropy relations
• The Holographic Entropy Cone
• Holographic Mutual Information is Monogamous
• The Holographic Entropy Cone for Five Regions
• Holographic Entropy Relations Repackaged
• The holographic entropy arrangement
• Bit Threads and Holographic Monogamy
• Superbalance of Holographic Entropy Inequalities
• The holographic entropy cone from marginal independence
• On the relation between the subadditivity cone and the quantum entropy cone
• A gap between holographic and quantum mechanical extreme rays of the subadditivity cone
• Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings
• Combinatorial properties of holographic entropy inequalities
• The quantum marginal independence problem
• Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the ${\sf N}=6$ solution
• Correlation hypergraph: a new representation of a quantum marginal independence pattern

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