Entanglement renormalization, quantum error correction, and bulk causality

DOI10.1007/JHEP04(2017)040zbMath1378.83022arXiv1701.00050MaRDI QIDQ680641

Michael J. Kastoryano, Isaac H. Kim

Publication date: 23 January 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00050

zbMATH Keywords

renormalization groupmodels of quantum gravity

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (8)

Unnamed Item ⋮ Locality at the boundary implies gap in the bulk for 2D PEPS ⋮ Approximate Bacon-Shor code and holography ⋮ Tensor chain and constraints in tensor networks ⋮ Quantum circuit approximations and entanglement renormalization for the Dirac field in \(1+1\) dimensions ⋮ Approximate recovery and relative entropy. I: General von Neumann subalgebras ⋮ Quantum error-detection at low energies ⋮ Real-space RG, error correction and Petz map

Cites Work

• Building up spacetime with quantum entanglement
• Anti de Sitter space and holography
• Holographic duality from random tensor networks
• Bidirectional holographic codes and sub-AdS locality
• Living on the edge: a toy model for holographic reconstruction of algebras with centers
• The large-\(N\) limit of superconformal field theories and supergravity
• Fault-tolerant quantum computation by anyons
• Algorithms for entanglement renormalization: boundaries, impurities and interfaces
• Large \(N\) field theories, string theory and gravity
• Bulk locality and quantum error correction in AdS/CFT
• Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• The Information-Disturbance Tradeoff and the Continuity of Stinespring's Representation
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