Holographic Tensor Networks in Full AdS/CFT

2019/02/26 by Ning Bao, Geoffrey Penington, Bao, Ning +5 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1902.10157

openalex publication_date 2019/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a general procedure for constructing tensor networks for geometric states in the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence. Given a state in a large-N CFT with a static, semiclassical gravitational dual, our procedure produces a tensor network for the boundary state whose internal geometry matches (a discretization of) the bulk spacetime geometry. By invoking the "holographic entanglement of purification" conjecture, our construction can be made to capture the structure of the bulk spacetime at sub-AdS scales.

Citations

• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence

Cited by

• Holographic Tensor Networks as Tessellations of Geometry
• Wormhole Traversability via Quantum Random Walks

Related

• Holographic Tensor Networks as Tessellations of Geometry
• Emergent Holographic Forces from Tensor Networks and Criticality
• Stable excitations and holographic transportation in tensor networks of critical spin chains
• Thesis: Tensor networks for dynamic spacetimes
• Tensor networks, p-adic fields, and algebraic curves: arithmetic and the AdS₃/CFT₂ correspondence