2017/04/13 by Glen Evenbly · 1 voice · 60 citations
Mathematics · Physics and Astronomy · #Ansatz #Artificial intelligence #Black Holes and Theoretical Physics #Boundary (topology) #Class (philosophy) #Computer science #Cosmology and Gravitation Theories #Holography #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Renormalization #Tensor (intrinsic definition) #Theoretical physics #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.119.141602
published in Physical Review Letters 119(14), 141602 (American Physical Society) · Main text: 5 pages, 4 figures. Supplemental material: 6 pages, 11 figures
arxiv created 2017/04/13 · arxiv published 2017/04/13 · arxiv updated 2017/04/13 · openalex publication_date 2017/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a new class of tensor network state as a model for the AdS/CFT correspondence and holography. This class is demonstrated to retain key features of the multiscale entanglement renormalization ansatz (MERA), in that they describe quantum states with algebraic correlation functions, have free variational parameters, and are efficiently contractible. Yet, unlike the MERA, they are built according to a uniform tiling of hyperbolic space, without inherent directionality or preferred locations in the holographic bulk, and thus circumvent key arguments made against the MERA as a model for AdS/CFT. Novel holographic features of this tensor network class are examined, such as an equivalence between the causal cones C(R) and the entanglement wedges E(R) of connected boundary regions R.