Algebraic structure in holographic tensor networks

arXiv:2610.00478 · hep-th, gr-qc, quant-ph · Submitted 2026-09-30 · Read on arXiv

hep-th, gr-qc, quant-ph

Submitted: 2026-09-30

Updated: 2026-10-02

Terminology

• Hilbert Space — 63× in this paper · explained in 2 episodes
• Entanglement — 40× in this paper · explained in 4 episodes
• Trace — 33× in this paper · explained in 2 episodes
• Entanglement Entropy — 6× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Domain Walls — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes

Sources

• Algebras for generalized entanglement wedges
• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• The Ryu-Takayanagi Formula from Quantum Error Correction
• Quantum corrections to holographic entanglement entropy
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Entanglement Wedges for Gravitating Regions
• Holograms In Our World
• Holographic duality from random tensor networks
• Bulk Locality and Quantum Error Correction in AdS/CFT
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• An Algebra of Observables for de Sitter Space
• Generalized entropy for general subregions in quantum gravity
• Relative entropy for von Neumann subalgebras
• Fun with replicas: tripartitions in tensor networks and gravity
• Large N algebras and generalized entropy
• On Infinite Tensor Networks, Complementary Recovery and Type II Factors
• Ultraproducts of von Neumann algebras
• Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral
• Holographic Tensor Networks with Bulk Gauge Symmetries
• Asymptotically isometric codes for holography

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