Entanglement renormalization

Abstract

In the context of real-space renormalization group methods, we propose a novel scheme for quantum systems defined on a D-dimensional lattice. It is based on a coarse-graining transformation that attempts to reduce the amount of entanglement of a block of lattice sites before truncating its Hilbert space. Numerical simulations involving the ground state of a 1D system at criticality show that the resulting coarse-grained site requires a Hilbert space dimension that does not grow with successive rescaling transformations. As a result we can address, in a quasi-exact way, tens of thousands of quantum spins with a computational effort that scales logarithmically in the system's size. The calculations unveil that ground state entanglement in extended quantum systems is organized in layers corresponding to different length scales. At a quantum critical point, each rellevant length scale makes an equivalent contribution to the entanglement of a block with the rest of the system.

4 pages, 4 figures, updated version

References in corpus (2)

• Real time evolution using the density matrix renormalization group
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension

Cited by in corpus (783)

• Area laws for the entanglement entropy - a review
• Machine learning and the physical sciences
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Entanglement entropy and conformal field theory
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• A high-bias, low-variance introduction to Machine Learning for physicists
• A class of quantum many-body states that can be efficiently simulated
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Entanglement Renormalization and Holography
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Area laws in quantum systems: mutual information and correlations
• Chaos in quantum channels
• Efficient quantum state tomography
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Holographic c-theorems in arbitrary dimensions
• Emergent Gravity and the Dark Universe
• Tensor networks for complex quantum systems
• Simulating Lattice Gauge Theories within Quantum Technologies
• The iTEBD algorithm beyond unitary evolution
• Seeing a c-theorem with holography
• Circuit complexity in quantum field theory
• Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Renormalization and tensor product states in spin chains and lattices
• Tensor Network Renormalization
• Efficient Representation of Quantum Many-body States with Deep Neural Networks
• Algorithms for entanglement renormalization
• Holographic Entanglement of Purification
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Hierarchical quantum classifiers
• The density matrix renormalization group for ab initio quantum chemistry
• Tensor product methods and entanglement optimization for ab initio quantum chemistry
• Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Exotic topological order in fractal spin liquids
• Tensor network decompositions in the presence of a global symmetry
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• Non-abelian symmetries in tensor networks: a quantum symmetry space approach
• Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
• Tensor network states and geometry
• Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law
• Holographic Complexity
• Complexity of Formation in Holography
• Minimally entangled typical quantum states at finite temperature
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• Entanglement renormalization for quantum fields
• Equivalence of restricted Boltzmann machines and tensor network states
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions
• Holographic Local Quenches and Entanglement Density
• Variational optimization with infinite projected entangled-pair states
• The mass spectrum of the Schwinger model with Matrix Product States
• Characterizing topological order by studying the ground states of an infinite cylinder
• Entanglement Transitions from Holographic Random Tensor Networks
• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Quantum Entanglement in Deep Learning Architectures
• Frustrated antiferromagnets with entanglement renormalization: ground state of the spin-1/2 Heisenberg model on a kagome lattice
• Entanglement Entropy from a Holographic Viewpoint
• What limits the simulation of quantum computers?
• Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
• Surface/State Correspondence as a Generalized Holography
• Braiding statistics of loop excitations in three dimensions
• CheMPS2: a free open-source spin-adapted implementation of the density matrix renormalization group for ab initio quantum chemistry
• Fracton Models on General Three-Dimensional Manifolds
• Review on novel methods for lattice gauge theories
• Renormalization of tensor-network states
• Ground state fidelity from tensor network representations
• Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond
• Backflow Transformations via Neural Networks for Quantum Many-Body Wave-Functions
• Lecture Notes of Tensor Network Contractions
• Entanglement renormalization and topological order
• Momentum-space entanglement and renormalization in quantum field theory
• cMERA as Surface/State Correspondence in AdS/CFT
• Quantum circuits for strongly correlated quantum systems
• Bulk-Edge Correspondence in the Entanglement Spectra
• Hamiltonian complexity
• Entanglement renormalization, scale invariance, and quantum criticality
• Bra-ket wormholes in gravitationally prepared states
• Fermionic multi-scale entanglement renormalization ansatz
• Entanglement renormalization in two spatial dimensions
• Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm
• Topology and edge modes in quantum critical chains
• Codimension two holography for wedges
• Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
• Quantum Hamiltonian Complexity
• The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems
• Contraction of fermionic operator circuits and the simulation of strongly correlated fermions
• Perfect Sampling with Unitary Tensor Networks
• Einstein's Equations from Varying Complexity
• Tensor Network Algorithms: a Route Map
• Simulation of interacting fermions with entanglement renormalization
• Measurement as a shortcut to long-range entangled quantum matter
• Entanglement negativity and topological order
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Time Evolution of an Infinite Projected Entangled Pair State: an Efficient Algorithm
• Tree Tensor Networks for Generative Modeling
• Path-Integral Complexity for Perturbed CFTs
• Simulating hyperbolic space on a circuit board
• A Quantum Inspired Approach to Exploit Turbulence Structures
• A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries
• Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model
• Symmetry protected topological phases in non-interacting fermion systems
• Tensor network renormalization yields the multi-scale entanglement renormalization ansatz
• Tensor Networks in a Nutshell
• Crystallography of Hyperbolic Lattices
• Beyond-classical computation in quantum simulation
• Tensor network simulation of non-Markovian dynamics in organic polaritons
• Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems
• Tensor network states and algorithms in the presence of a global SU(2) symmetry
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Tensor Networks from Kinematic Space
• Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry
• Scaling of entanglement between separated blocks in spin chains at criticality
• Diagonalizing transfer matrices and matrix product operators: a medley of exact and computational methods
• Improved energy extrapolation with infinite projected entangled-pair states applied to the 2D Hubbard model
• Entanglement renormalization and gauge symmetry
• Renormalization of tensor networks using graph independent local truncations
• Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity
• Foliated Quantum Field Theory of Fracton Order
• Holographic tensor network models and quantum error correction: A topical review
• Machine Learning by Unitary Tensor Network of Hierarchical Tree Structure
• Coarse graining methods for spin net and spin foam models
• Topological invariants for gauge theories and symmetry-protected topological phases
• Universal geometric entanglement close to quantum phase transitions
• Ground-State Properties of Quantum Many-Body Systems: Entangled-Plaquette States and Variational Monte Carlo
• Decorated tensor network renormalization for lattice gauge theories and spin foam models
• Bidirectional holographic codes and sub-AdS locality
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• Learning Relevant Features of Data with Multi-scale Tensor Networks
• Quantum Neural Network States: A Brief Review of Methods and Applications
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Algorithms for tensor network renormalization
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Unitary circuits for strongly correlated fermions
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• Lattice Gauge Tensor Networks
• Preparation of matrix product states with log-depth quantum circuits
• Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
• Supervised Learning with Quantum-Inspired Tensor Networks
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm
• Quantum MERA Channels
• Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
• Hamiltonian models for topological phases of matter in three spatial dimensions
• Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT
• Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems
• Consistency Conditions for an AdS/MERA Correspondence
• Exact entanglement renormalization for string-net models
• Classical Shadow Tomography with Locally Scrambled Quantum Dynamics
• From the discrete to the continuous - towards a cylindrically consistent dynamics
• A hierarchy of topological tensor network states
• Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories
• Path integral optimization as circuit complexity
• Automorphic Bloch theorems for hyperbolic lattices
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Holographic Spacetimes as Quantum Circuits of Path-Integrations
• Variational Approach to Projected Entangled Pair States at Finite Temperature
• Topological color code and symmetry-protected topological phases
• Complete-Graph Tensor Network States: A New Fermionic Wave Function Ansatz for Molecules
• Efficient simulation of infinite tree tensor network states on the Bethe lattice
• Entanglement and quantum phase transition in the one-dimensional anisotropic XY model
• Tensor Networks and Quantum Error Correction
• Quantum Information in Holographic Duality
• Tensor operators: constructions and applications for long-range interaction systems
• Feasibility of self-correcting quantum memory and thermal stability of topological order
• Separability and ground state factorization in quantum spin systems
• Holographic Entanglement of Purification from Conformal Field Theories
• Geometry of Matrix Product States: metric, parallel transport and curvature
• Enhancing Generative Models via Quantum Correlations
• Quantum simulation with hybrid tensor networks
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Unconstrained Tree Tensor Network: An adaptive gauge picture for enhanced performance
• Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions
• Fractional quantum Hall effect in the interacting Hofstadter model via tensor networks
• Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
• Faster identification of optimal contraction sequences for tensor networks
• Tensor networks and the numerical renormalization group
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Entanglement renormalization and wavelets
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Disentangling Theorem and Monogamy for Entanglement Negativity
• Transfer Matrices and Excitations with Matrix Product States
• Machine Learning Spatial Geometry from Entanglement Features
• Compression of Correlation Matrices and an Efficient Method for Forming Matrix Product States of Fermionic Gaussian States
• A class of highly entangled many-body states that can be efficiently simulated
• Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Fast State Transfer and Entanglement Renormalization Using Long-Range Interactions
• Holographic subregion complexity under a thermal quench
• Conformal Data from Finite Entanglement Scaling
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Spin-1/2 J1-J2 Heisenberg antiferromagnet on a square lattice: a plaquette renormalized tensor network study
• TensorNetwork: A Library for Physics and Machine Learning
• From Path Integrals to Tensor Networks for AdS/CFT
• Holographic Complexity for Defects Distinguishes Action from Volume
• Entanglement generation in $(1+1)D$ QED scattering processes
• Optimized Decimation of Tensor Networks with Super-orthogonalization for Two-Dimensional Quantum Lattice Models
• Causal structure of the entanglement renormalization ansatz
• Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature
• Relative entropy and the RG flow
• T3NS: three-legged tree tensor network states
• Classification of quantum phases and topology of logical operators in an exactly solved model of quantum codes
• Time Dependent Variational Principle for Tree Tensor Networks
• Error estimates for extrapolations with matrix-product states
• Bifurcation in entanglement renormalization group flow of a gapped spin model
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Time evolution as refining, coarse graining and entangling
• The hidden symmetry-breaking picture of symmetry-protected topological order
• Unifying variational methods for simulating quantum many-body systems
• TensorNetwork for Machine Learning
• A classification of 2D fermionic and bosonic topological orders
• Holographic entanglement negativity and replica symmetry breaking
• Simulation of time evolution with the MERA
• X-Symbols for Non-Abelian Symmetries in Tensor Networks
• Computations in Quantum Tensor Networks
• Critical properties of homogeneous binary trees
• Simulation of anyons with tensor network algorithms
• Hyper-invariant tensor networks and holography
• Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry
• Universal symmetry-protected topological invariants for symmetry-protected topological states
• Markov entropy decomposition: a variational dual for quantum belief propagation
• Foliated fracton order in the checkerboard model
• Data compression for quantum machine learning
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Symmetric tensor networks and practical simulation algorithms to sharply identify classes of quantum phases distinguishable by short-range physics
• Modular Matrices as Topological Order Parameter by Gauge Symmetry Preserved Tensor Renormalization Approach
• Characterizing and Quantifying Frustration in Quantum Many-Body Systems
• Sequentially generated states for the study of two dimensional systems
• Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz
• A literature survey of low-rank tensor approximation techniques
• Optimized contraction scheme for tensor-network states
• Fermionic Implementation of Projected Entangled Pair States Algorithm
• Entanglement renormalization in fermionic systems
• The learnability scaling of quantum states: restricted Boltzmann machines
• Minimalist approach to the classification of symmetry protected topological phases
• Optimizing Design Choices for Neural Quantum States
• Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states
• Entanglement of Purification in Free Scalar Field Theories
• Pulling the Boundary into the Bulk
• Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
• Complexity of frustration: a new source of non-local non-stabilizerness
• Machine Learning Holographic Mapping by Neural Network Renormalization Group
• Multigrid Algorithms for Tensor Network States
• Algorithms for entanglement renormalization: boundaries, impurities and interfaces
• A systematic construction of gapped non-liquid states
• Tensor Network and Black Hole
• Holographic Relaxation of Finite Size Isolated Quantum Systems
• Multi-scale quantum simulation of quantum field theory using wavelets
• Holography as deep learning
• Quantum group spin nets: refinement limit and relation to spin foams
• Holographic View on Quantum Correlations and Mutual Information between Disjoint Blocks of a Quantum Critical System
• Riemannian geometry and automatic differentiation for optimization problems of quantum physics and quantum technologies
• Fourier transform of fermionic systems and the spectral tensor network
• Gradient Flows for Optimisation and Quantum Control: Foundations and Applications
• Correlation paradox of the dissociation limit: A quantum information perspective
• Self-Correcting Quantum Many-Body Control using Reinforcement Learning with Tensor Networks
• Multipartite Entanglement Measures and Quantum Criticality from Matrix and Tensor Product States
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Boundary quantum critical phenomena with entanglement renormalization
• Lorentzian threads as 'gatelines' and holographic complexity
• Tensor Network Contractions for #SAT
• Conformal Quasicrystals and Holography
• Augmenting Density Matrix Renormalization Group with Clifford Circuits
• Theory of Network Contractor Dynamics for Exploring Thermodynamic Properties of Two-dimensional Quantum Lattice Models
• A tensor network quotient takes the vacuum to the thermal state
• Probabilistic Nonunitary Gate in Imaginary Time Evolution
• Solving condensed-matter ground-state problems by semidefinite relaxations
• On Distinguishability of Black Hole Microstates
• Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
• Scalable reconstruction of unitary processes and Hamiltonians
• Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Entanglement as geometry and flow
• Rigorous free fermion entanglement renormalization from wavelet theory
• Tensor network algorithm by coarse-graining tensor renormalization on finite periodic lattices
• Exact holographic mapping in free fermion systems
• Bifurcating entanglement-renormalization group flows of fracton stabilizer models
• Variational Monte Carlo method for fermionic models combined with tensor networks and applications to the hole-doped two-dimensional Hubbard model
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Absence of static stripes in the two-dimensional $t-J$ model by an accurate and systematic quantum Monte Carlo approach
• Accurate simulation for finite projected entangled pair states in two dimensions
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Tensor networks for quantum machine learning
• Detection of Symmetry Enriched Topological Phases
• Local scale transformations on the lattice with tensor network renormalization
• Deep learning and the renormalization group
• Fundamental limitations in the purifications of tensor networks
• Holographic complexity of anisotropic black branes
• Optimal State Transfer and Entanglement Generation in Power-law Interacting Systems
• Conversion of projected entangled pair states into a canonical form
• Spontaneous symmetry breaking in a generalized orbital compass model
• Absence of barren plateaus in finite local-depth circuits with long-range entanglement
• Time evolution of projected entangled pair states in the single layer picture
• Optimising Matrix Product State Simulations of Shor's Algorithm
• Model-Independent Learning of Quantum Phases of Matter with Quantum Convolutional Neural Networks
• Spacetime symmetries and conformal data in the continuous multi-scale entanglement renormalization ansatz
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• A tensor network view of multilayer multiconfiguration time-dependent Hartree methods
• Continuous Tensor Network States for Quantum Fields
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Anyonic entanglement renormalization
• Density Matrix Renormalization Group with Tensor Processing Units
• MERA for Spin Chains with Continuously Varying Criticality
• Multiconfiguration time-dependent Hartree impurity solver for nonequilibrium dynamical mean-field theory
• Measurement-induced phase transitions on dynamical quantum trees
• Simulating 2+1d ${\mathbb{Z}}_3$ lattice gauge theory with iPEPS
• Path-Integral Optimization from Hartle-Hawking Wave Function
• Topological shadows and complexity of islands in multiboundary wormholes
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• Stabilizer Tensor Networks: universal quantum simulator on a basis of stabilizer states
• Quantum Codes from Neural Networks
• Automatic Differentiation for Second Renormalization of Tensor Networks
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice
• Anderson localization transition in disordered hyperbolic lattices
• Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
• Foliated fracton order in the Majorana checkerboard model
• Deep Learning and Quantum Entanglement: Fundamental Connections with Implications to Network Design
• Categorical Tensor Network States
• Automatic structural optimization of tree tensor networks
• Framework for classifying logical operators in stabilizer codes
• Global symmetries in tensor network states: symmetric tensors versus minimal bond dimension
• Is Deep Learning a Renormalization Group Flow?
• Ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice: A variational study based on entangled-plaquette states
• Exotic spin orders driven by orbital fluctuations in the Kugel-Khomskii model
• Anomalies and entanglement renormalization
• Fermionic Projected Entangled Pair States at Finite Temperature
• Many-body localization in large systems: Matrix-product-state approach
• Surface/State correspondence and $T\overline{T}$ deformation
• Concatenated tensor network states
• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• Morphing quantum codes
• Cutoff Dependence and Complexity of the CFT${}_2$ Ground State
• Central charges of aperiodic holographic tensor network models
• Deep learning black hole metrics from shear viscosity
• The Speed of Quantum Information Spreading in Chaotic Systems
• Boundary Tensor Renormalization Group
• Continuum tensor network field states, path integral representations and the encoding of spatial symmetries
• Complexity=Anything: Singularity Probes
• Entanglement branching operator
• Normal projected entangled pair states generating the same state
• Complexity Functionals and Complexity Growth Limits in Continuous MERA Circuits
• Holographic Path-Integral Optimization
• Further developments in correlator product states: deterministic optimization and energy evaluation
• 3D holography: from discretum to continuum
• The area law and real-space renormalization
• Self-assembling tensor networks and holography in disordered spin chains
• On Complexity Growth in Minimal Massive 3D Gravity
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Efficient tensor network representation for Gutzwiller projected states of paired fermions
• A programming guide for tensor networks with global $SU(2)$ symmetry
• Representation and design of wavelets using unitary circuits
• Matrix product state techniques for two-dimensional systems at finite temperature
• Real-space renormalization yields finite correlations
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization
• Lieb-Liniger model with exponentially-decaying interactions: a continuous matrix product state study
• Compressing deep neural networks by matrix product operators
• Holographic phase space: $c$-functions and black holes as renormalization group flows
• Critical exponents of one-dimensional quantum critical models by means of MERA tensor network
• Studying dynamics in two-dimensional quantum lattices using tree tensor network states
• Tensor network models of AdS/qCFT
• Projector quantum Monte Carlo with matrix product states
• QGOpt: Riemannian optimization for quantum technologies
• A real space decoupling transformation for quantum many-body systems
• Symmetry protected entanglement renormalization
• Holographic Entanglement Renormalization of Topological Insulators
• A defect in holographic interpretations of tensor networks
• Improved scaling of Time-Evolving Block-Decimation algorithm through Reduced-Rank Randomized Singular Value Decomposition
• Solving frustration-free spin systems
• Ground states of unfrustrated spin Hamiltonians satisfy an area law
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Lectures on Quantum Tensor Networks
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Holographic Tensor Networks in Full AdS/CFT
• Charged Complexity and the Thermofield Double State
• Holographic quantum simulation of entanglement renormalization circuits
• Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
• Fractonic order in infinite-component Chern-Simons gauge theories
• Holographic rainbow networks for colorful Motzkin and Fredkin spin chains
• Towards holography via quantum source-channel codes
• Entanglement-guided architectures of machine learning by quantum tensor network
• Non-local scaling operators with entanglement renormalization
• Overcoming the Sign Problem at Finite Temperature: Quantum Tensor Network for the Orbital $e_g$ Model on an Infinite Square Lattice
• Matrix Product States for Quantum Stochastic Modelling
• Entangled and sequential quantum protocols with dephasing
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
• Matrix product state algorithms for Gaussian fermionic states
• Continuous matrix product states for coupled fields: Application to Luttinger Liquids and quantum simulators
• Renormalization algorithm with graph enhancement
• Entanglement renormalization, quantum error correction, and bulk causality
• Matrix product states for anyonic systems and efficient simulation of dynamics
• Correlation-Enhanced Neural Networks as Interpretable Variational Quantum States
• Few-body systems capture many-body physics: tensor network approach
• Emergence of conformal symmetry in quantum spin chains: anti-periodic boundary conditions and supersymmetry
• Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• A Pairwise Connected Tensor Network Representation of Path Integrals
• Entanglement and correlations in the continuous multi-scale entanglement renormalization ansatz
• Adaptive-weighted tree tensor networks for disordered quantum many-body systems
• Homogeneous MERA states: an information theoretical analysis
• Local tensor network for strongly correlated projective states
• Automatically Differentiable Quantum Circuit for Many-qubit State Preparation
• Kitaev honeycomb tensor networks: exact unitary circuits and applications
• Information Geometry of Entanglement Renormalization for free Quantum Fields
• An emergent geometric description for a topological phase transition in the Kitaev superconductor model
• Extracting entanglement geometry from quantum states
• Tree tensor networks and entanglement spectra
• Quantum gravity states, entanglement graphs and second-quantized tensor networks
• Time evolution of an infinite projected entangled pair state: a gradient tensor update in the tangent space
• Tensor networks for interpretable and efficient quantum-inspired machine learning
• Time Evolution of an Infinite Projected Entangled Pair State: an Algorithm from First Principles
• The Pursuit of Uniqueness: Extending Valiant-Vazirani Theorem to the Probabilistic and Quantum Settings
• Augmenting Density Matrix Renormalization Group with Disentanglers
• Entanglement renormalization for disordered systems
• Plaquette Renormalization Scheme for Tensor Network States
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• A Holographic form for Wilson's RG
• Simulating quantum circuits using tree tensor networks
• Refined Holographic Entanglement Entropy for the AdS Solitons and AdS black Holes
• Lee-Yang theory of criticality in interacting quantum many-body systems
• Tensor network ranks
• Quantum Machine Learning Tensor Network States
• An Introduction to Gauge Gravity Duality and Its Application in Condensed Matter
• Coupling and thermal equilibrium in general-covariant systems
• Lifshitz entanglement entropy from holographic cMERA
• Non-Gaussian Entanglement Renormalization for Quantum Fields
• Unitary Networks from the Exact Renormalization of Wave Functionals
• Real-space RG, error correction and Petz map
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Improved numerical methods for infinite spin chains with long-range interactions
• Computing spacetime
• A theory of minimal updates in holography
• Building Tensor Networks for Holographic States
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal Entanglement Structure
• QSpace - An open-source tensor library for Abelian and non-Abelian symmetries
• Symmetry Protected Quantum State Renormalization
• Distilling Fractons from Layered Subsystem-Symmetry Protected Phases
• Tensor networks for dynamic spacetimes
• Continuous matrix product states for non-relativistic quantum fields: a lattice algorithm for inhomogeneous systems
• Topological Order and Degenerate Singular Value Spectrum in Two-Dimensional Dimerized Quantum Heisenberg Model
• Quantum phases of a chain of strongly interacting anyons
• Variational Monte Carlo with the Multi-Scale Entanglement Renormalization Ansatz
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• Coarse graining Shannon and von Neumann entropies
• Lee-Yang theory of the two-dimensional quantum Ising model
• Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus
• Coarse grained belief propagation for simulation of interacting quantum systems at all temperatures
• Entanglement bipartitioning and tree tensor networks
• The gravitational dynamics of kinematic space
• Bifurcating subsystem symmetric entanglement renormalization in two dimensions
• Quantum Quench and Charge Oscillations in the SU(3) Hubbard Model: a Test of Time Evolving Block Decimation with general non-Abelian Symmetries
• Variational Monte Carlo simulations using tensor-product projected states
• Nuclear norm regularized loop optimization for tensor network
• Exact holographic tensor networks for the Motzkin spin chain
• Quantum Yang-Mills theory: an overview of a programme
• Language Design as Information Renormalization
• A comparative study of universal quantum computing models: towards a physical unification
• Instantaneous braids and Dehn twists in topologically ordered states
• The Three-Legged Tree Tensor Networks with SU(2)- and molecular point group symmetry
• A non-perturbative field theory approach for the Kondo effect: Emergence of an extra dimension and its implication for the holographic duality conjecture
• Quantum-classical eigensolver using multiscale entanglement renormalization
• Efficient evaluation of high-order moments and cumulants in tensor network states
• Scale free property and edge state of Wilson's numerical renormalization group
• Quantum Critical Universality and Singular Corner Entanglement Entropy of Bilayer Heisenberg-Ising model
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Matrix product state renormalization
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Efficient representation of long-range interactions in tensor network algorithms
• The Stability of Quantum Concatenated Code Hamiltonians
• Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states
• Tensor network representations from the geometry of entangled states
• A generalized Lanczos method for systematic optimization of tensor network states
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
• Topological disentangler for the valence-bond-solid chain
• Entanglement Renormalization for Interacting Field Theories
• Entanglement properties of the critical quench of O(N) bosons
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Optimization at the boundary of the tensor network variety
• Holographic maps from quantum gravity states as tensor networks
• Renormalization of group field theories for quantum gravity: new scaling results and some suggestions
• Unifying view of fermionic neural network quantum states: From neural network backflow to hidden fermion determinant states
• Symmetric Tensor Networks for Generative Modeling and Constrained Combinatorial Optimization
• Benchmarking the variational reduced density matrix theory in the doubly-occupied configuration interaction space with integrable pairing models
• Optimization schemes for unitary tensor-network circuit
• Partial long-range order in antiferromagnetic Potts models
• Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions
• Real-space renormalization group for the transverse-field Ising model in two and three dimensions
• Degenerate groundstates and multiple bifurcations in a two-dimensional q-state quantum Potts model
• Surface growth scheme for bulk reconstruction and tensor network
• Towards computational insights into the large-scale structure of spin foams
• Scaling dimensions from linearized tensor renormalization group transformations
• Scaling limits of lattice quantum fields by wavelets
• On the closedness and geometry of tensor network state sets
• Link representation of the entanglement entropies for all bipartitions
• Differentiable Programming of Isometric Tensor Networks
• Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions
• Stable bipolarons in open quantum systems
• Tensor renormalization group in bosonic field theory
• Tensor networks-a new tool for old problems
• Continuous tensor network renormalization for quantum fields
• Implementation of rigorous renormalization group method for ground space and low-energy states of local Hamiltonians
• Density-of-states of many-body quantum systems from tensor networks
• Time-evolution of holographic entanglement entropy and metric perturbations
• The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
• Many body physics from a quantum information perspective
• Symmetry-respecting real-space renormalization for the quantum Ashkin-Teller model
• Long-time dynamics of quantum chains: transfer-matrix renormalization group and entanglement of the maximal eigenvector
• Entanglement Entropy of Coupled Conformal Field Theories and Fermi Liquids
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Q-curvature and Path Integral Complexity
• Entanglement renormalization and boundary critical phenomena
• Probing critical states of matter on a digital quantum computer
• Converting long-range entanglement into mixture: tensor-network approach to local equilibration
• Holography as a highly efficient RG flow II: An explicit construction
• From Tree Tensor Network to Multiscale Entanglement Renormalization Ansatz
• Tensor networks as conformal transformations
• Certifying ground-state properties of quantum many-body systems
• Discrete Gravity on Random Tensor Network and Holographic Rényi Entropy
• Universal Logical Gates on Topologically Encoded Qubits via Constant-Depth Unitary Circuits
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Automatic quantum circuit encoding of a given arbitrary quantum state
• Entanglement Renormalization and Two Dimensional String Theory
• Boundary theories of critical matchgate tensor networks
• Holographic Geometries of one-dimensional gapped quantum systems from Tensor Network States
• Super-operator structures and no-go theorems for dissipative quantum phase transitions
• Disentangling Sources of Quantum Entanglement in Quench Dynamics
• Fine-Grained Tensor Network Methods
• Emergent geometry in recursive renormalization group transformations
• Decohering Tensor Network Quantum Machine Learning Models
• Holographic spin networks from tensor network states
• Finite Density Matrix Renormalisation Group Algorithm for Anyonic Systems
• Entanglement entropy and correlations in loop quantum gravity
• Hartle-Hawking state and its factorization in 3d gravity
• Tensor network state correspondence and holography
• Disentangling Interacting Systems with Fermionic Gaussian Circuits: Application to Quantum Impurity Models
• Continuum limits of Matrix Product States
• Entanglement Area Law for Shallow and Deep Quantum Neural Network States
• Machine learning with tree tensor networks, CP rank constraints, and tensor dropout
• Tensor network approaches for learning non-linear dynamical laws
• Continuum limits of homogeneous binary trees and the Thompson group
• Tensor network methods with graph enhancement
• Recycling qubits in near-term quantum computers
• Generalized Exact Holographic Mapping with Wavelets
• Signatures of broken parity and time-reversal symmetry in generalized string-net models
• Scale-renormalized matrix-product states for correlated quantum systems
• A Gaussian Variational Approach to cMERA for Interacting Fields
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Discrete scale invariance in holography revisited
• Tunneling frustration induced peculiar supersolid phases in the extended Bose-Hubbard model
• Thermal geometry from CFT at finite temperature
• The seniority quantum number in Tensor Network States
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Studying a relativistic field theory at finite chemical potential with the density matrix renormalization group
• Renormalization group and approximate error correction
• Thread/State correspondence: from bit threads to qubit threads
• Quantized Lattice Dynamic Effects on the Spin-Peierls Transition
• Quantum criticality on a chiral ladder: an $SU(2)$ iDMRG study
• Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
• Quantum Hamiltonian complexity and the detectability lemma
• Efficient tensor network algorithm for layered systems
• An Efficient Algorithmic Way to Construct Boltzmann Machine Representations for Arbitrary Stabilizer Code
• Tensor Networks for Explainable Machine Learning in Cybersecurity
• Explainable Natural Language Processing with Matrix Product States
• Emergent fermionic gauge theory and foliated fracton order in the Chamon model
• Hierarchy of Entanglement Renormalization and Long-Range Entangled States
• Geometric encoding of renormalization group $\beta -$functions in an emergent holographic dual description
• Equivalence of cost concentration and gradient vanishing for quantum circuits: An elementary proof in the Riemannian formulation
• NoRA: A Tensor Network Ansatz for Volume-Law Entangled Equilibrium States of Highly Connected Hamiltonians
• Quantum error correction and entanglement spectrum in tensor networks
• Replica exchange molecular dynamics optimization of tensor network states for quantum many-body systems
• MERA as a holographic strange correlator
• Generalization of the tensor renormalization group approach to 3-D or higher dimensions
• Superuniversality from disorder at two-dimensional topological phase transitions
• Entanglement Entropy with Lifshitz Fermions
• Monte Carlo simulations of two-dimensional fermion systems with string-bond states
• Tensor Network Computations That Capture Strict Variationality, Volume Law Behavior, and the Efficient Representation of Neural Network States
• Eigenmodes of the Laplacian on Hyperbolic Lattices
• Magic entanglement renormalization for quantum fields
• Composite anyon coding and the initialization of a topological quantum computer
• Compass model on a ladder and square clusters
• Accuracy vs Memory Advantage in the Quantum Simulation of Stochastic Processes
• Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Short-time vs. long-time dynamics of entanglement in quantum lattice models
• Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
• Transition of a ${\mathbb{Z}}_3$ topologically ordered phase to trivial and critical phases
• Branching MERA codes: a natural extension of polar codes
• Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
• Statistical Mechanics Approach to the Holographic Renormalization Group: Bethe Lattice Ising Model and p-adic AdS/CFT
• Complexity Growth, Butterfly Velocity and Black hole Thermodynamics
• Tensor renormalization group approach to classical dimer models
• Topological and Geometric Universal Thermodynamics in Conformal Field Theory
• Edge--Entanglement correspondence for gapped topological phases with symmetry
• Capturing long-range memory structures with tree-geometry process tensors
• Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
• Renormalization of Ising cage-net model and generalized foliation
• Tensor chain and constraints in tensor networks
• Matrix product approximations to multipoint functions in two-dimensional conformal field theory
• Note on surface growth approach for bulk reconstruction
• Entanglement renormalization for gauge invariant quantum fields
• Perfect discretizations as a gateway to one-loop partition functions for 4D gravity
• From entanglement renormalisation to the disentanglement of quantum double models
• Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal
• A Multi-Scale Tensor Network Architecture for Classification and Regression
• Classification of topological symmetry sectors on anyon rings
• Singular-Value-Decomposition Analysis of Associative Memory in a Neural Network
• Holographic analysis of boundary correlation functions for the hyperbolic-lattice Ising model
• Quantum resource theory of coding for error correction
• Wilson Action for the $O(N)$ Model
• Holographic entanglement renormalisation of topological order in a quantum liquid
• Quantum computation and the evaluation of tensor networks
• Tensor-product representations for string-net condensed states
• Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
• Two-dimensional local Hamiltonian problem with area laws is QMA-complete
• Geometry and Dynamics of Emergent Spacetime from Entanglement Spectrum
• Matrix product approximations to conformal field theories
• Bosonic entanglement renormalization circuits from wavelet theory
• Exact phase diagram and topological phase transitions of the XYZ spin chain
• Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory
• Entanglement structures from modified IR geometry
• Single-shot holographic compression from the area law
• Generalized mean field description of entanglement in dimerized spin systems
• Méthodes de calcul avec réseaux de tenseurs en physique (Basic tensor network computations in physics)
• Tensor Networks for Simulating Quantum Circuits on FPGAs
• Distinguishing Phases with Ansatz Wavefunctions
• Emergent geometry and path integral optimization for a Lifshitz action
• Probabilistic Inference in the Era of Tensor Networks and Differential Programming
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States
• Ground-state properties of the one-dimensional Hubbard model with pairing potential
• Squeezing in driven bimodal Bose-Einstein Condensates: Erratic driving versus noise
• Three-dimensional real space renormalization group with well-controlled approximations
• Fermionic tensor network contraction for arbitrary geometries
• Reducing Memory Cost of Exact Diagonalization using Singular Value Decomposition
• Entanglement Continuous Unitary Transformations
• Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Entanglement renormalization of thermofield double states
• Quantum Decimation in Hilbert Space: Coarse-Graining without Structure
• Universal edge information from wave-function deformation
• Exact block encoding of imaginary time evolution with universal quantum neural networks
• Tunable Geometries in Sparse Clifford Circuits
• Lattice Unruh effect and world-line entanglement for the XXZ chain
• Area laws and efficient descriptions of quantum many-body states
• Provable superior accuracy in machine learned quantum models
• Entanglement perturbation theory for the quantum ground states in two dimensions
• Cubic ferromagnet and emergent $U(1)$ symmetry on its phase boundary
• Field equations and particle motion in covariant emergent gravity
• Meson thermalization with a hot medium in the open Schwinger model
• The Large $N$ Limit of icMERA and Holography
• Exact Renormalization of Wave Functionals yields Continuous MERA
• Emergent geometry, thermal CFT and surface/state correspondence
• Coarse-grained spectral projection (CGSP): a deep learning-assisted approach to quantum unitary dynamics
• Exact renormalization group for wave functionals
• Practical variational tomography for critical 1D systems
• A Matrix Product State Model for Simultaneous Classification and Generation
• 3D Tensor Renormalisation Group at High Temperatures
• Spin-spin correlations between two Kondo impurities coupled to an open Hubbard chain
• Classical Holographic Codes
• Tensor Renormalization Group for interacting quantum fields
• Operator-algebraic renormalization and wavelets
• Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators
• Simulating quantum circuits using the multi-scale entanglement renormalization ansatz
• Note on quantum entanglement and quantum geometry
• Loop update for infinite projected entangled-pair states in two spatial dimensions
• Strictly local tensor networks for short-range topological insulators
• Unifying O(3) Equivariant Neural Networks Design with Tensor-Network Formalism
• Quantum order by disorder in Frustrated Spin Nanotubes
• TensorKrowch: Smooth integration of tensor networks in machine learning
• One-half reflected entropy is not a lower bound for entanglement of purification
• Squashed Entanglement from Generalized Rindler Wedge
• Entanglement renormalization for chiral topological phases
• Bang-bang preparation of quantum many-body ground states in two dimensions: optimization of the algorithm with a two-dimensional tensor network
• Time Evolution and Deterministic Optimisation of Correlator Product States
• Constructive Fermionic Matrix Product States for Projected Fermi Sea
• Finite-size scaling on the torus with periodic projected entangled-pair states
• Tensor network non-zero testing
• p-adic CFT is a holographic tensor network
• A new perspective to formulate a dissipative thermo field dynamics
• Entanglement and area law with a fractal boundary in a topologically ordered phase
• Quantum Darwinism-encoding transitions on expanding trees
• Holographic Classical Shadow Tomography
• Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity
• Scaling of contraction costs for entanglement renormalization algorithms including tensor Trotterization and variational Monte Carlo
• Celestial Quantum Error Correction II: From Qudits to Celestial CFT
• Adiabatic ground state preparation in an expanding lattice
• Entanglement renormalization of anisotropic XY model
• An exact real-space renormalization method and applications
• Mode folding in systems with local interaction: unitary and non-unitary transformations using tensor states
• Improving accuracy of tree-tensor network approach by optimization of network structure
• Efficient modeling of superconducting quantum circuits with tensor networks
• Quantum Phase Transitions in Long-Range Interacting Hyperuniform Spin Chains in a Transverse Field
• Thesis: Tensor networks for dynamic spacetimes
• Generalised ansatz for continuous Matrix Product States
• Entanglement Renormalization of the class of Continuous Matrix Product States
• Provably efficient neural network representation for image classification
• Exact bosonic Matrix Product States (and holography)
• On the Entanglement Entropy in Gaussian cMERA
• Scale-Invariant Continuous Entanglement Renormalization of a Chern Insulator
• Inverse Mellin Transformation of Continuous Singular Value Decomposition: A Route to Holographic Renormalization
• Error metric for non-trace-preserving quantum operations
• Improved Matrix Product Operator Renormalization Group: application to the N-color random Ashkin-Teller chain
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Zero Curvature Condition for Quantum Criticality
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions
• Reductions in finite-dimensional quantum mechanics: from symmetries to operator algebras and beyond
• Density matrix representation of hybrid tensor networks for noisy quantum devices
• Essential difference between 2D and 3D from the perspective of real-space renormalization group
• Tensor Network for Supervised Learning at Finite Temperature
• Pushing Tensor Networks to the Limit
• Unconventional supersymmetric quantum mechanics in spin systems
• Implicitly disentangled renormalization
• Multilayer wave functions: A recursive coupling of local excitations
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Bound on entanglement in neural quantum states
• Variational boundary based tensor network renormalization group
• The Software Landscape for the Density Matrix Renormalization Group
• Entanglement across scales: Quantics tensor trains as a natural framework for renormalization
• Symmetry-Protected Local Minima in Infinite DMRG
• Fractal decompositions and tensor network representations of Bethe wavefunctions
• A Lindbladian for exact renormalization of density operators in QFT
• Entanglement renormalization of fractonic anisotropic ${\mathbb{Z}}_N$ Laplacian models
• Parent Hamiltonian for Fully-augmented Matrix Product States
• Entanglement renormalization for quantum fields with boundaries and defects
• Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states
• Snapshot spectra in the world-line quantum Monte Carlo for one-dimensional quantum spin systems
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Layer-by-layer disentangling two-dimensional topological quantum codes
• Tensor Network Efficiently Representing Schmidt Decomposition of Quantum Many-Body States
• Entanglement in simple spin networks with a boundary
• Symmetries and field tensor network states
• Optimal Matrix Product States for the Heisenberg Spin Chain
• Tensor Ring Decomposition: Optimization Landscape and One-loop Convergence of Alternating Least Squares
• Geometry of Entanglement
• Low energy properties of non-perturbative quantum systems: a space reduction approach
• Entanglement renormalization and symmetry fractionalization
• Finite size effect on quantum correlations
• A tensor network representation of path integrals: Implementation and analysis
• Locally Purified Maximally Mixed States At Scale: Entanglement Pruning and Symmetries
• Quantum batteries at the verge of a phase transition
• On the merit of a Central Limit Theorem-based approximation in statistical physics
• Half-Chain Entanglement Entropy in the One-Dimensional Spinless Fermion Model
• Comparison between renormalization group derived emergent dual holography and string theory based holographic duality
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity
• Tensor-Network study of Ising model on infinite hyperbolic dodecahedral lattice
• Quantum Entanglement on Cosmological Scale
• Holographic entanglement renormalisation for fermionic quantum matter
• Are there any Landau poles in wavelet-based quantum field theory?
• Exact Mappings in Condensed Matter Physics
• Tensor Network Lattice Boltzmann Method for Data-Compressed Fluid Simulations
• Phase structure of the one-dimensional ${\mathbb{Z}}_2$ lattice gauge theory with second nearest-neighbor interactions
• Quantum Effects In Low Temperature Bosonic Systems
• Planon-modular fracton orders
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• TTNOpt: Tree tensor network package for high-rank tensor compression
• Leaf-to-leaf distances in Catalan trees
• The behavior of the entanglement entropy in interacting quasi-1D systems and its consequences for their efficient numerical study
• Entanglement-based tensor-network strong-disorder renormalization group
• Truncating loopy tensor networks by zero-mode gauge fixing
• Surface/state correspondence and bulk local operators in pp-wave holography
• Emulation of large-scale qubit registers with a phase-space approach
• Quantum Singular Value Decomposition of Spin Correlation Matrix in One-Dimensional Heisenberg Model
• Entanglement and its applications in systems with many degrees of freedom
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity
• (Quantum) Fractional Brownian Motion and Multifractal Processes under the Loop of a Tensor Networks
• Weak coupling theory of nickel-based 327 superconductors
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Symmetry-Protected Topological relationship between $SU(3)$ and $SU(2)\times U(1)$ in Two Dimension
• Fracton models from product codes
• Random Walk of Bipartite Spins in a Classicalized Holographic Tensor Network
• Classical Neural Networks on Quantum Devices via Tensor Network Disentanglers: A Case Study in Image Classification
• Holographic Aspects of Dynamical Mean-Field Theory