Entanglement Renormalization and Holography

Abstract

I show how recent progress in real space renormalization group methods can be used to define a generalized notion of holography inspired by holographic dualities in quantum gravity. The generalization is based upon organizing information in a quantum state in terms of scale and defining a higher dimensional geometry from this structure. While states with a finite correlation length typically give simple geometries, the state at a quantum critical point gives a discrete version of anti de Sitter space. Some finite temperature quantum states include black hole-like objects. The gross features of equal time correlation functions are also reproduced in this geometric framework. The relationship between this framework and better understood versions of holography is discussed.

15 pages, 5 figures

References in corpus (6)

• A class of quantum many-body states that can be efficiently simulated
• Area laws in quantum systems: mutual information and correlations
• Entanglement renormalization, scale invariance, and quantum criticality
• Explicit tensor network representation for the ground states of string-net models
• Holography and Renormalization in Lorentzian Signature
• Tensor-product representations for string-net condensed states

Cited by in corpus (549)

• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• The ITensor Software Library for Tensor Network Calculations
• Complexity Equals Action
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Bulk Locality and Quantum Error Correction in AdS/CFT
• Complexity and Shock Wave Geometries
• The Page curve of Hawking radiation from semiclassical geometry
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Chaos in quantum channels
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Complexity, action, and black holes
• Holographic duality with a view toward many-body physics
• Emergent Gravity and the Dark Universe
• Tensor networks for complex quantum systems
• Random Quantum Circuits
• Chaos and complexity by design
• The Gravity Dual of a Density Matrix
• Causality & holographic entanglement entropy
• Circuit complexity in quantum field theory
• Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
• Towards Complexity for Quantum Field Theory States
• Quantum Entanglement in Neural Network States
• The Ryu-Takayanagi Formula from Quantum Error Correction
• Tensor Network Renormalization
• Efficient Representation of Quantum Many-body States with Deep Neural Networks
• Holographic Entanglement of Purification
• Entanglement entropy: holography and renormalization group
• Emergent statistical mechanics of entanglement in random unitary circuits
• Holographic Complexity
• Noether charge, black hole volume, and complexity
• Generalized entropy and higher derivative Gravity
• Complexity of Formation in Holography
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• Entanglement renormalization for quantum fields
• Holographic Local Quenches and Entanglement Density
• Differentiable Programming Tensor Networks
• Entanglement Transitions from Holographic Random Tensor Networks
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
• Entanglement of purification: from spin chains to holography
• Surface/State Correspondence as a Generalized Holography
• A hole-ographic spacetime
• Lecture Notes of Tensor Network Contractions
• Momentum-space entanglement and renormalization in quantum field theory
• cMERA as Surface/State Correspondence in AdS/CFT
• Entwinement and the emergence of spacetime
• Absolutely Maximally Entangled states, combinatorial designs and multi-unitary matrices
• Circuit complexity in interacting QFTs and RG flows
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• Entanglement Wedge Cross Section from the Dual Density Matrix
• Large N algebras and generalized entropy
• Codimension two holography for wedges
• Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
• Flat entanglement spectra in fixed-area states of quantum gravity
• Neural Network Renormalization Group
• Einstein's Equations from Varying Complexity
• Nonlinear Gravity from Entanglement in Conformal Field Theories
• Holographic Pseudo Entropy
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Holographic Renyi Entropy from Quantum Error Correction
• Path-Integral Complexity for Perturbed CFTs
• Subsystem Complexity and Holography
• Simulating hyperbolic space on a circuit board
• Tensor network renormalization yields the multi-scale entanglement renormalization ansatz
• Crystallography of Hyperbolic Lattices
• Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
• Multiboundary Wormholes and Holographic Entanglement
• Timelike entanglement entropy
• Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry
• Holographic Complexity in Vaidya Spacetimes I
• Quantum Dynamics in Krylov Space: Methods and Applications
• Renormalization of tensor networks using graph independent local truncations
• Holographic tensor network models and quantum error correction: A topical review
• Complexity of Mixed States in QFT and Holography
• Learning Relevant Features of Data with Multi-scale Tensor Networks
• Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
• Conformal field theories are magical
• Holographic Mutual Information at Finite Temperature
• Deep Learning and AdS/CFT
• Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT
• The AdS/CFT Correspondence
• Holographic Complexity Equals Which Action?
• Entanglement contour
• Bulk Emergence and the RG Flow of Entanglement Entropy
• Exponential Thermal Tensor Network Approach for Quantum Lattice Models
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
• Consistency Conditions for an AdS/MERA Correspondence
• The First Law of Complexity
• Global symmetry, Euclidean gravity, and the black hole information problem
• Entanglement Wedge Reconstruction and Entanglement of Purification
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Automorphic Bloch theorems for hyperbolic lattices
• $p$-adic AdS/CFT
• Learning the Alpha-bits of Black Holes
• Quantum Information in Holographic Duality
• The entropy of a hole in spacetime
• Nuts and Bolts for Creating Space
• Holographic Entanglement of Purification from Conformal Field Theories
• Holographic Complexity And Cosmological Singularities
• A modular toolkit for bulk reconstruction
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Faster identification of optimal contraction sequences for tensor networks
• Complexity Equals Anything II
• Entanglement renormalization and wavelets
• Machine Learning Spatial Geometry from Entanglement Features
• Complexity Growth Rate in Lovelock Gravity
• Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy
• Multipartite Entanglement in Stabilizer Tensor Networks
• Emergence in Holographic Scenarios for Gravity
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Gauge fixing, canonical forms and optimal truncations in tensor networks with closed loops
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• Deep Learning and Holographic QCD
• Renormalization group constructions of topological quantum liquids and beyond
• Symmetry-Resolved Entanglement in AdS${}_3$/CFT${}_2$ coupled to $U(1)$ Chern-Simons Theory
• Holographic Complexity for Defects Distinguishes Action from Volume
• Product Spectrum Ansatz and the Simplicity of Thermal States
• From Path Integrals to Tensor Networks for AdS/CFT
• Fine structure in holographic entanglement and entanglement contour
• Membrane theory of entanglement dynamics from holography
• Causal structure of the entanglement renormalization ansatz
• Relative entropy and the RG flow
• Complexity Growth in Integrable and Chaotic Models
• Entanglement Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group
• Symmetry-resolved entanglement for excited states and two entangling intervals in AdS${}_3$/CFT${}_2$
• Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
• Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space
• Aspects of Pseudo Entropy in Field Theories
• Holographic entanglement negativity and replica symmetry breaking
• A Holographic Model of the Kondo Effect
• AdS/CFT as a deep Boltzmann machine
• Towards Bulk Metric Reconstruction from Extremal Area Variations
• The Information Theoretic Interpretation of the Length of a Curve
• Hyper-invariant tensor networks and holography
• Entanglement phase transitions in random stabilizer tensor networks
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Holo-ween
• Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz
• Path Integral Optimization for $T\bar{T}$ Deformation
• Entanglement density and gravitational thermodynamics
• Exploring the Tensor Networks/AdS Correspondence
• The world as a neural network
• Entanglement entropy in two dimensional string theory
• Conformal field theory complexity from Euler-Arnold equations
• Entanglement and tensor network states
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Entanglement negativity at large central charge
• Entanglement of Purification in Free Scalar Field Theories
• Holographic entanglement negativity conjecture for adjacent intervals in $Ad{S}_3/CF{T}_2$
• Machine Learning Holographic Mapping by Neural Network Renormalization Group
• Generalizations of Reflected Entropy and the Holographic Dual
• Complexity for Charged Thermofield Double States
• Hot multiboundary wormholes from bipartite entanglement
• Swing surfaces and holographic entanglement beyond AdS/CFT
• Tensor Network and Black Hole
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Holographic EPR Pairs, Wormholes and Radiation
• Entanglement Wedges for Gravitating Regions
• Holographic View on Quantum Correlations and Mutual Information between Disjoint Blocks of a Quantum Critical System
• Holography as deep learning
• Lattice Setup for Quantum Field Theory in AdS${}_2$
• Holographic local quench and effective complexity
• Quantum and Classical Correlations Inside the Entanglement Wedge
• The connection between holographic entanglement and complexity of purification
• Entanglement Features of Random Hamiltonian Dynamics
• Holographic entanglement chemistry
• Holographic duality between $(2+1)$-d quantum anomalous Hall state and $(3+1)$-d topological insulators
• Lorentzian threads as 'gatelines' and holographic complexity
• Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
• Conformal Quasicrystals and Holography
• Bulk locality and cooperative flows
• A tensor network quotient takes the vacuum to the thermal state
• On Distinguishability of Black Hole Microstates
• Comments on Entanglement Entropy in the dS/CFT Correspondence
• Complexity and action for warped AdS black holes
• Exact holographic mapping in free fermion systems
• Discrete gravity dynamics from effective spin foams
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Spacetime from Unentanglement
• Rigorous free fermion entanglement renormalization from wavelet theory
• Entanglement as geometry and flow
• Holographic complexity of anisotropic black branes
• Holographic Complexity of Quantum Black Holes
• Accurate simulation for finite projected entangled pair states in two dimensions
• Tensor networks for quantum machine learning
• Bit threads and holographic entanglement of purification
• Continuous Tensor Network States for Quantum Fields
• De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity
• Spacetime symmetries and conformal data in the continuous multi-scale entanglement renormalization ansatz
• Holographic measurement and bulk teleportation
• Toy Models of Holographic Duality between local Hamiltonians
• Path-Integral Optimization from Hartle-Hawking Wave Function
• Measurement-induced phase transitions on dynamical quantum trees
• Anderson localization transition in disordered hyperbolic lattices
• Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law
• Modular Flow as a Disentangler
• Entanglement from Topology in Chern-Simons Theory
• Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
• Conditions on holographic entangling surfaces in higher curvature gravity
• Global symmetries in tensor network states: symmetric tensors versus minimal bond dimension
• Mixed s-sourcery: Building many-body states using bubbles of Nothing
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Central charges of aperiodic holographic tensor network models
• Entanglement Entropy of Extremal BTZ
• Islands with Gravitating Baths: Towards ER = EPR
• Surface/State correspondence and $T\overline{T}$ deformation
• Deep learning black hole metrics from shear viscosity
• Majorana dimers and holographic quantum error-correcting codes
• Formulas for Partial Entanglement Entropy
• Entanglement structures in qubit systems
• Holographic Path-Integral Optimization
• Gravity from entropy
• Self-assembling tensor networks and holography in disordered spin chains
• Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
• Holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Complexity and Momentum
• On Complexity Growth in Minimal Massive 3D Gravity
• A programming guide for tensor networks with global $SU(2)$ symmetry
• Tensor network models of AdS/qCFT
• A real space decoupling transformation for quantum many-body systems
• Complexity and phase transitions in a holographic QCD model
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Local tests of global entanglement and a counterexample to the generalized area law
• Toward random tensor networks and holographic codes in CFT
• Holographic Entanglement Renormalization of Topological Insulators
• Complexity and Boost Symmetry
• Geometric Interpretation of Timelike Entanglement Entropy
• Correlation measures and distillable entanglement in AdS/CFT
• Symmetry protected entanglement renormalization
• Equivalence of Emergent de Sitter Spaces from Conformal Field Theory
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
• Holographic rainbow networks for colorful Motzkin and Fredkin spin chains
• Random tensor networks with nontrivial links
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• Geometry and Complexity of Path Integrals in Inhomogeneous CFTs
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Necessary and Sufficient Conditions for the Validity of Luttinger's Theorem
• Geometrizing quantum dynamics of a Bose-Einstein condensate
• Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
• Generalized entanglement entropy
• Towards effective actions for the continuum limit of spin foams
• Exploring the Membrane Theory of Entanglement Dynamics
• Entanglement and correlations in the continuous multi-scale entanglement renormalization ansatz
• An emergent geometric description for a topological phase transition in the Kitaev superconductor model
• Holographic measurement and quantum teleportation in the SYK thermofield double
• Approximate Bacon-Shor Code and Holography
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• Deriving the PEE proposal from the Locking bit thread configuration
• One-shot holography
• Emergent 4-dimensional linearized gravity from spin foam model
• Quantum gravity states, entanglement graphs and second-quantized tensor networks
• Spacetime as a quantum circuit
• Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors-the temperature and repulsive interaction among BH molecules
• Extracting entanglement geometry from quantum states
• Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Refined Holographic Entanglement Entropy for the AdS Solitons and AdS black Holes
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Space-time random tensor networks and holographic duality
• Tensor Network Models of Multiboundary Wormholes
• Unitary Networks from the Exact Renormalization of Wave Functionals
• Areas and entropies in BFSS/gravity duality
• Real-space RG, error correction and Petz map
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Non-Gaussian Entanglement Renormalization for Quantum Fields
• Learning the black hole metric from holographic conductivity
• Holographic complexity of local quench at finite temperature
• Bayesian Renormalization
• Building Tensor Networks for Holographic States
• Emergent Einstein Equation in p-adic CFT Tensor Networks
• A theory of minimal updates in holography
• Typicality in spin network states of quantum geometry
• Entanglement bipartitioning and tree tensor networks
• Spacetime Quantum Actions
• Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula
• AdS geometry from CFT on a general conformally flat manifold
• Entanglement, Tensor Networks and Black Hole Horizons
• Exact holographic tensor networks for the Motzkin spin chain
• Qubit Construction in 6D SCFTs
• Covariant Constraints on Hole-ography
• Deep learning the holographic black hole with charge
• Circuit Complexity in Topological Quantum Field Theory
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Renormalization Group Circuits for Gapless States
• Matrix product state renormalization
• Path Integral Complexity and Kasner singularities
• A non-perturbative field theory approach for the Kondo effect: Emergence of an extra dimension and its implication for the holographic duality conjecture
• Quantum simulations of a qubit of space
• Building Bulk Geometry from the Tensor Radon Transform
• Holographic measurement in CFT thermofield doubles
• Ryu-Takayanagi Formula for Symmetric Random Tensor Networks
• Machine Learning Statistical Gravity from Multi-Region Entanglement Entropy
• Dynamics for holographic codes
• Building the Observer into the System: Toward a Realistic Description of Human Interaction with the World
• Partial Deconfinement at Strong Coupling on the Lattice
• Holographic maps from quantum gravity states as tensor networks
• Wormholes and entanglement in holography
• Quantum Causal Influence
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Locality at the boundary implies gap in the bulk for 2D PEPS
• More of the Bulk from Extremal Area Variations
• Quantum bit threads of MERA tensor network in large $c$ limit
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Size and momentum of an infalling particle in the black hole interior
• Tensor renormalization group in bosonic field theory
• Towards a dS/MERA correspondence
• Conformal Properties of Hyperinvariant Tensor Networks
• Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions
• Into the Bulk: A Covariant Approach
• Entwinement as a possible alternative to complexity
• On the Limits of Effective Quantum Field Theory: Eternal Inflation, Landscapes, and Other Mythical Beasts
• Link representation of the entanglement entropies for all bipartitions
• Entanglement spectrum of geometric states
• Time-evolution of holographic entanglement entropy and metric perturbations
• Geodesic string condensation from symmetric tensor gauge theory: a unifying framework of holographic toy models
• RG-Flow: A hierarchical and explainable flow model based on renormalization group and sparse prior
• Statistical Mechanics of Monitored Dissipative Random Circuits
• Black holes often saturate entanglement entropy the fastest
• Holographic Tensor Networks with Bulk Gauge Symmetries
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Geometrizing the Partial Entanglement Entropy: from PEE Threads to Bit Threads
• Markovian and non-Markovian quantum measurements
• Entanglement Renormalization and Two Dimensional String Theory
• Entanglement of Purification and Projective Measurement in CFT
• Boundary theories of critical matchgate tensor networks
• Holographic duality between local Hamiltonians from random tensor networks
• Bulk reconstruction of metrics inside black holes by complexity
• Symmetry Resolution in non-Lorentzian Field Theories
• Emergent geometry in recursive renormalization group transformations
• Holographic spin networks from tensor network states
• Hartle-Hawking state and its factorization in 3d gravity
• Gravity from entanglement for boundary subregions
• Fine-Grained Tensor Network Methods
• Collision in the interior of wormhole
• Quantum bit threads and holographic entanglement
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• $Sp(4;\mathbb{R})$ Squeezing for Bloch Four-Hyperboloid via The Non-Compact Hopf Map
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• On holographic entanglement entropy of non-local field theories
• Python's Lunches in Jackiw-Teitelboim gravity with matter
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Hyper-Invariant MERA: Approximate Holographic Error Correction Codes with Power-Law Correlations
• Entanglement renormalization and integral geometry
• Nonlocal multi-trace sources and bulk entanglement in holographic conformal field theories
• Circuit Complexity in ${\mathcal{Z}}_2$ $\mathcal{EEF}\mathcal{T}$
• Bulk area law for boundary entanglement in spin network states: entropy corrections and horizon-like regions from volume correlations
• Entanglement sum rules in exactly solvable models
• Entanglement links and the quasiparticle picture
• Holographic Timelike Entanglement Entropy from Rindler Method
• Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe
• Classical Spacetimes as Amplified Information in Holographic Quantum Theories
• Multipartite edge modes and tensor networks
• Tensor network state correspondence and holography
• Generalized Exact Holographic Mapping with Wavelets
• On the definition of entanglement entropy in lattice gauge theories
• Bulk Locality and Entanglement Swapping in AdS/CFT
• The structure of fixed-point tensor network states characterizes patterns of long-range entanglement
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• On the entanglement contour of excited states in the holographic CFT
• Discrete scale invariance in holography revisited
• Holographic entanglement in spin network states: a focused review
• Entanglement distillation toward minimal bond cut surface in tensor networks
• Bending the Bruhat-Tits Tree I:Tensor Network and Emergent Einstein Equations
• Covariant Information Theory and Emergent Gravity
• Large N matrices from a nonlocal spin system
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Thermal geometry from CFT at finite temperature
• The Inverse of Exact Renormalization Group Flows as Statistical Inference
• Bouncing inside the horizon and scrambling delays
• Collisions of localized shocks and quantum circuits
• Quantum error correction and entanglement spectrum in tensor networks
• Subregion complexity and confinement-deconfinement transition in a holographic QCD model
• Complexity measures in QFT and constrained geometric actions
• The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory
• Hierarchy of Entanglement Renormalization and Long-Range Entangled States
• Holographic Approach to Entanglement Entropy in Disordered Systems
• NoRA: A Tensor Network Ansatz for Volume-Law Entangled Equilibrium States of Highly Connected Hamiltonians
• Holographic Entanglement Entropy of the Coulomb Branch
• Thread/State correspondence: from bit threads to qubit threads
• Entropy functionals and thermodynamics of relativistic geometric flows, stationary quasi-periodic Ricci solitons, and gravity
• A finite geometric toy model of space-time as an error correcting code
• Geometric encoding of renormalization group $\beta -$functions in an emergent holographic dual description
• Correspondence between Entanglement Growth and Probability Distribution of Quasi-Particles
• Background independent tensor networks
• Classical and quantum geometric information flows and entanglement of relativistic mechanical systems
• Unitary S Matrices With Long-Range Correlations and the Quantum Black Hole
• Entanglement Entropy with Lifshitz Fermions
• MERA as a holographic strange correlator
• Quantum Error-Detection at Low Energies
• Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
• Notes on the Causal Structure in a Tensor Network
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
• Reconstructing black hole exteriors and interiors using entanglement and complexity
• Understanding the holographic principle via RG flow
• Statistical Mechanics Approach to the Holographic Renormalization Group: Bethe Lattice Ising Model and p-adic AdS/CFT
• Tensor chain and constraints in tensor networks
• Path Integrals from Spacetime Quantum Actions
• Towards Holographic Quantum Energy Teleportation
• Singular-Value-Decomposition Analysis of Associative Memory in a Neural Network
• Note on surface growth approach for bulk reconstruction
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Complexity Growth, Butterfly Velocity and Black hole Thermodynamics
• Holographic entanglement renormalisation of topological order in a quantum liquid
• Inverse problem of correlation functions in holography
• Information Graph Flow: a geometric approximation of quantum and statistical systems
• Capturing long-range memory structures with tree-geometry process tensors
• Relativistic Quantum Fields Are Universal Entanglement Embezzlers
• Entanglement renormalization for gauge invariant quantum fields
• Holographic Complexity for disentangled states
• Holographic networks for (1+1)-dimensional de Sitter spacetime
• Holographic analysis of boundary correlation functions for the hyperbolic-lattice Ising model
• Connecting Entanglement Renormalization and Gauge/Gravity dualities
• Misanthropic Entropy and Renormalization as a Communication Channel
• Gravity from Entanglement and RG Flow in a Top-down Approach
• Bosonic entanglement renormalization circuits from wavelet theory
• Méthodes de calcul avec réseaux de tenseurs en physique (Basic tensor network computations in physics)
• Universal Characterization of Quantum Many-Body States through Local Information
• Emergent classical geometries on boundaries of randomly connected tensor networks
• Entanglement structures from modified IR geometry
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• Electric fields and quantum wormholes
• Single-shot holographic compression from the area law
• Minimax surfaces and the holographic entropy cone
• Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory
• Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Bulk Spacetime Encoding via Boundary Ambiguities
• Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz
• Gauge fields and quantum entanglement
• Holography without holography: How to turn inter-representational into intra-theoretical relations in AdS/CFT
• Entanglement entropy on finitely ramified graphs
• Measuring Holographic Entanglement Entropy on a Quantum Simulator
• Emergent geometry and path integral optimization for a Lifshitz action
• Weighting gates in circuit complexity and holography
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States
• Boundary States as Holographic Duals of Trivial Spacetimes
• Tunable Geometries in Sparse Clifford Circuits
• Lattice Unruh effect and world-line entanglement for the XXZ chain
• Direct Calculation of Mutual Information of Distant Regions
• Entanglement renormalization of thermofield double states
• The Algebraic Structure Underlying Pole-Skipping Points
• Exact Quantum Algorithms for Quantum Phase Recognition: Renormalization Group and Error Correction
• On the first law of entanglement for Quasi-Topological gravity
• Deep learning-based holography for T-linear resistivity
• Kaluza--Klein gravity & cosmology emerging from G. Perelman's entropy functionals and quantum geometric information flows
• Field equations and particle motion in covariant emergent gravity
• Exact Renormalization of Wave Functionals yields Continuous MERA
• Holographic Foliations: Self-Similar Quasicrystals from Hyperbolic Honeycombs
• Counting atypical black hole microstates from entanglement wedges
• The Large $N$ Limit of icMERA and Holography
• Emergent geometry, thermal CFT and surface/state correspondence
• Holographic complexity for nonlinearly charged Lifshitz black holes
• Towards bit threads in general gravitational spacetimes
• Instanton Density Operator in Lattice QCD from Higher Category Theory
• Curvature from multipartite entanglement in quantum gravity states
• Exact renormalization group for wave functionals
• On estimating the entropy of shallow circuit outputs
• Towards a Fisher-information description of complexity in de Sitter universe
• Renormalization of lattice field theories with infinite-range wavelets
• Is the local linearity of space-time inherited from the linearity of probabilities?
• Random Circuits in the Black Hole Interior
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• Far from Perfect: Quantum Error Correction with (Hyperinvariant) Evenbly Codes
• Weaving the (AdS) spaces with partial entanglement entropy threads
• Overlapping qubits from non-isometric maps and de Sitter tensor networks
• Unifying O(3) Equivariant Neural Networks Design with Tensor-Network Formalism
• Tensor Renormalization Group for interacting quantum fields
• A Large-$N$ Phase Transition in a Finite Lattice Gauge Theory
• Null wave front as Ryu-Takayanagi surface
• Note on quantum entanglement and quantum geometry
• Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows
• Strictly local tensor networks for short-range topological insulators
• Fixing three dimensional geometries from entanglement entropies of CFT${}_2$
• Puzzles and pitfalls involving Haar-typicality in holography
• Classical Holographic Codes
• The Firewall Paradox
• On the Entanglement Entropy in Gaussian cMERA
• Towards holography for quantum mechanics
• Exact bosonic Matrix Product States (and holography)
• Geometric Surprises in the Python's Lunch Conjecture
• AdS gravity, SO(2,d) gauge theory and Holography
• Subsystem Complexity and Measurements in Holography
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Entanglement Renormalization of a $T\bar{T}$-deformed CFT
• Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields
• Entanglement Renormalization of the class of Continuous Matrix Product States
• Holographic multipartite entanglement structures in IR modified geometries
• Building flat space-time from information exchange between quantum fluctuations
• Inflation from entropy
• QCD, with Strings Attached
• Gravity Dual of Networks
• Holographic quantum singularity
• Realize Emergent Gravity to Generic Situations
• Entanglement Rényi entropies in celestial holography
• Celestial Quantum Error Correction II: From Qudits to Celestial CFT
• Phase Transitions of Correlations in Black Hole Geometries
• Inspecting non-perturbative contributions to the Entanglement Entropy via wavefunctions
• Local geometry from entanglement entropy
• Implementing the sine transform of fermionic modes as a tensor network
• Fixing the AdS${}_3$ metric from the pure state entanglement entropies of CFT${}_2$
• Entanglement in simple spin networks with a boundary
• Geometry of Entanglement
• Entanglement renormalization for quantum fields with boundaries and defects
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Holographic $SO(2,d)$ anomaly
• Growth of a renormalized operator as a probe of chaos
• On the Relative Distance of Entangled Systems in Emergent Spacetime Scenarios
• Quantum max-flow in the bridge graph
• Qubits on programmable geometries with a trapped-ion quantum processor
• Bulk quantum corrections to entwinement
• A Lindbladian for exact renormalization of density operators in QFT
• On Infinite Tensor Networks, Complementary Recovery and Type II Factors
• Entangled universes
• Entanglement across scales: Quantics tensor trains as a natural framework for renormalization
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Building bulk from Wilson loops
• Entanglement renormalization and symmetry fractionalization
• Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states
• Spectral Projections for Density Matrices in Quantum Field Theories
• Quantum Entanglement on Cosmological Scale
• Characterizing quantum phase transition by teleportation
• Random Walk of Bipartite Spins in a Classicalized Holographic Tensor Network
• Surface/state correspondence and bulk local operators in pp-wave holography
• The weak equivalence principle and the Dirac constant: A result from the holographic principle
• Hofstadter's Butterfly in AdS${}_3$ Black Holes
• Random quantum circuits, chaos and quantum thermalization
• The Phases of Chaos
• Holographic Space-time and Quantum Information
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Entanglement Suppression Due to Black Hole Scattering
• Tensor networks for quantum causal histories
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity
• Holographic Aspects of Dynamical Mean-Field Theory
• Leaf-to-leaf distances in Catalan trees
• Tensor-Network study of Ising model on infinite hyperbolic dodecahedral lattice
• Holographic Tensor Networks as Tessellations of Geometry
• Holographic entanglement renormalisation for fermionic quantum matter
• Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories
• Lattice AdS Geometry and Continuum Limit
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity
• Cost of holographic path integrals
• Building spacetime from effective interactions between quantum fluctuations
• On the nonclassicality in quantum JT gravity
• Holography of Transmission Lines: Insights of Continuous MERA and AdS/CFT
• Critical spin models from holographic disorder
• Note on Mutual Information between Two Intervals of Extremal BTZ