Detecting topological order in a ground state wave function

Abstract

A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, d_i, F^{ijk}_{lmn}, δ_{ijk}). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the ``topological entropy'' which directly measures the quantum dimension D = \sum_i d^2_i.

4 pages, 5 figures, homepage http://dao.mit.edu/~wen

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• A path integral Monte Carlo method for Rényi entanglement entropies
• Quantum Approximate Markov Chains are Thermal
• Topological non-linear $\sigma$-model, higher gauge theory, and a realization of all 3+1D topological orders for boson systems
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Fractional Statistics and the Butterfly Effect
• Charged Renyi entropies and holographic superconductors
• Bridging Perturbative Expansions with Tensor Networks
• Scaling Theory of Topological Phase Transitions
• Measures of complexity and entanglement in fermionic many-body systems
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• Scaling of Entanglement Entropy at 2D quantum Lifshitz fixed points and topological fluids
• Parafermionic phases with symmetry-breaking and topological order
• Bounds on corner entanglement in quantum critical states
• Theory of Network Contractor Dynamics for Exploring Thermodynamic Properties of Two-dimensional Quantum Lattice Models
• Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Minimal Entangled States and Modular Matrix for Fractional Quantum Hall Effect in Topological Flat Bands
• Single crystal growth of Cu4(OH)6BrF and universal behavior in quantum spin liquid candidates synthetic barlowite and herbertsmithite
• Disorder-assisted error correction in Majorana chains
• Wilson operator algebras and ground states for coupled BF theories
• Position-Dependent Excitations and UV/IR Mixing in the ${\mathbb{Z}}_N$ Rank-2 Toric Code and its Low-Energy Effective Field Theory
• Universal Wave Function Overlap and Universal Topological Data from Generic Gapped Ground States
• Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Fusion rules from entanglement
• Entanglement entropy between two coupled Tomonaga-Luttinger liquids
• Quantum Kagome Ice
• Reduced fidelity in topological quantum phase transitions
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Unconventional Quantum Critical Points
• Macroscopic Quantum Entanglement of a Kondo Cloud at Finite Temperature
• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Dynamic fingerprint of fractionalized excitations in single-crystalline Cu${}_3$Zn(OH)${}_6$FBr
• Unexpected z-Direction Ising Antiferromagnetic Order in a frustrated Spin-1/2 $J_1-J_2$ XY Model on the Honeycomb Lattice
• Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Haldane Statistics in the Finite Size Entanglement Spectra of Laughlin States
• Entanglement Scaling of Fractional Quantum Hall states through Geometric Deformations
• Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization
• Tensor network representations of parton wave functions
• Bipartite entanglement entropy of the excited states of the free fermions and the harmonic oscillators
• Rigorous free fermion entanglement renormalization from wavelet theory
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Universal aspects in the behavior of the entanglement spectrum in one dimension: scaling transition at the factorization point and ordered entangled structures
• Topology and Criticality in Resonating Affleck-Kennedy-Lieb-Tasaki loop Spin Liquid States
• Detection of Symmetry Enriched Topological Phases
• Decorated Defect Construction of Gapless-SPT States
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Detecting Goldstone Modes with Entanglement Entropy
• Entanglement Entropy of U(1) Quantum Spin Liquids
• Crystalline Kitaev spin liquids
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields
• Topological pseudo entropy
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Compactifying fracton stabilizer models
• Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology
• Finite Features of Quantum De Sitter Space
• Three-dimensional de Sitter horizon thermodynamics
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Entanglement Hamiltonian of quantum critical chains and conformal field theories
• On 2-form gauge models of topological phases
• Experimental implementation of adiabatic passage between different topological orders
• Entanglement patterns and generalized correlation functions in quantum many body systems
• Information-theoretical analysis of topological entanglement entropy and multipartite correlations
• Understanding the entanglement entropy and spectra of 2D quantum systems through arrays of coupled 1D chains
• Fluctuations and Entanglement spectrum in quantum Hall states
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Kitaev lattice models as a Hopf algebra gauge theory
• Gauge-invariant Variables and Entanglement Entropy
• Spin liquid versus dimer phases in an anisotropic J1-J2 frustrated square antiferromagnet
• Subsystem symmetry enriched topological order in three dimensions
• A gauge theory generalization of the fermion-doubling theorem
• Notes on Entanglement in Abelian Gauge Theories
• Non-Abelian Quantum Hall States and their Quasiparticles: from the Pattern of Zeros to Vertex Algebra
• The enigmatic 12/5 fractional quantum Hall effect
• Scrambling Ability of Quantum Neural Networks Architectures
• Equipartition of Entanglement in Quantum Hall States
• Recent Developments in Fractional Chern Insulators
• Establishing non-Abelian topological order in Gutzwiller projected Chern insulators via Entanglement Entropy and Modular S-matrix
• Entanglement Entropy in 2D Non-abelian Pure Gauge Theory
• Changing topology by topological defects in three-dimensional topologically ordered phases
• Structure of Quasiparticles and Their Fusion Algebra in Fractional Quantum Hall States
• Entanglement Spectroscopy using Quantum Monte Carlo
• Unquenched massive flavors and flows in Chern-Simons matter theories
• Ground state degeneracy on torus in a family of ${\mathbb{Z}}_N$ toric code
• Entanglement Entropy of Non-Hermitian Free Fermions
• Topological reflected entropy in Chern-Simons theories
• Entanglement between particle partitions in itinerant many-particle states
• Topological Disorder Parameter
• Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble
• Stability of topologically invariant order parameters at finite temperature
• Entanglement in gapless resonating valence bond states
• Perturbative analysis of topological entanglement entropy from conditional independence
• Finite and Infinite Matrix Product States for Gutzwiller Projected Mean-Field Wavefunctions
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Functional renormalization group approach to SU(N) Heisenberg models: Momentum-space RG for the large-N limit
• Emergent gauge fields and the high temperature superconductors
• Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
• Foliated fracton order in the Majorana checkerboard model
• Two-dimensional ${\mathbb{Z}}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order
• Boundary Entropy Can Increase Under Bulk RG Flow
• Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
• Measuring space-group symmetry fractionalization in Z${}_2$ spin liquids
• Anyon braiding in semi-analytical fractional quantum Hall lattice models
• Probing topological order with Rényi entropy
• Stability of mixed-state quantum phases via finite Markov length
• Edge Mode Combinations in the Entanglement Spectra of Non-Abelian Fractional Quantum Hall States on the Torus
• Framework for classifying logical operators in stabilizer codes
• Exactly soluble local bosonic cocycle models, statistical transmutation, and simplest time-reversal symmetric topological orders in 3+1D
• Entanglement spectroscopy of chiral edge modes in the Quantum Hall effect
• Entanglement Spectra of Stabilizer Codes: A Window into Gapped Quantum Phases of Matter
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Ground-state fidelity of Luttinger liquids: A wave functional approach
• Holographic Entanglement Entropy and Confinement
• Infinite Projected Entangled-Pair State algorithm for ruby and triangle-honeycomb lattices
• Structure of Quantum Entanglement at a Finite Temperature Critical Point
• Entanglement entropy of (3+1)D topological orders with excitations
• Fractional spin liquid hierarchy for spin S antiferromagnets
• Topological Insulators and Quantum Spin Liquids
• Bulk Topological Proximity Effect
• Anomalies and entanglement renormalization
• Quantum Entanglement and Thermal Reduced Density Matrices in Fermion and Spin Systems on Ladders
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Detecting Topological Quantum Phase Transitions via the c-Function
• Entanglement entropy from entanglement contour: higher dimensions
• Multipartitioning topological phases by vertex states and quantum entanglement
• Topological Insulators and Superconductors from String Theory
• Holographic Rényi Entropies at Finite Coupling
• Constraints on RG Flows from Holographic Entanglement Entropy
• Entanglement entropies of the $J_1-J_2$ Heisenberg antiferromagnet on the square lattice
• Topological Multipartite Entanglement in a Fermi Liquid
• Model States for a Class of Chiral Topological Order Interfaces
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• Universal features of entanglement entropy in the honeycomb Hubbard model
• The negativity contour: a quasi-local measure of entanglement for mixed states
• Renyi Entropy and Geometry
• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Entanglement entropy in dynamic quantum-coherent conductors
• Investigating Topological Order using Recurrent Neural Networks
• From entanglement generated dynamics to the gravitational anomaly and chiral central charge
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer
• Constructible reality condition of pseudo entropy via pseudo-Hermiticity
• Local characterization of 1d topologically ordered states
• Entanglement negativity in free-fermion systems: An overlap matrix approach
• Reduced density matrix and order parameters of a topological insulator
• A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions
• Rényi generalizations of quantum information measures
• Two-cylinder entanglement entropy under a twist
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Featureless quantum insulator on the honeycomb lattice
• Entanglement properties of topological color codes
• The Frustration of being Odd: Universal Area Law violation in local systems
• Quantum Complementarity through Entropic Certainty Principles
• Entanglement order parameters and critical behavior for topological phase transitions and beyond
• Entanglement and corner Hamiltonian spectra of integrable open spin chains
• Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
• Microscopic description of 2d topological phases, duality and 3d state sums
• Algebraically contractible topological tensor network states
• Entanglement entropy of integer Quantum Hall states in polygonal domains
• Detecting a $Z_2$ topologically ordered phase from unbiased infinite projected entangled-pair state simulations
• Rényi entanglement entropies in quantum dimer models : from criticality to topological order
• Classifying local fractal subsystem symmetry protected topological phases
• Long-range entanglement is necessary for a topological storage of quantum information
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Symmetry-Protected Topological Interfaces and Entanglement Sequences
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Bosonic quantum Hall states in single-layer two-dimensional optical lattices
• The Existence of Featureless Paramagnets on the Square and the Honeycomb Lattices in 2+1D
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
• A universal tripartite entanglement signature of ungappable edge states
• Anyonic Entanglement and Topological Entanglement Entropy
• Magnetic Raman continuum in single crystalline H${}_3$LiIr${}_2$O${}_6$
• Entanglement bootstrap approach for gapped domain walls
• Subarea law of entanglement in nodal fermionic systems
• Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Chern-Simons Composite Fermion Theory of Fractional Chern Insulators
• Abelian topological order of $\nu =2/5$ and $3/7$ fractional quantum Hall states in lattice models
• Chiral entanglement in triangular lattice models
• Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States
• Variational Ansatz for an Abelian to non-Abelian Topological Phase Transition in $\nu =1/2+1/2$ Bilayers
• Renormalization group flow of entanglement entropy on spheres
• Symmetry-Protected Topological Entanglement
• Position momentum Duality in the Entanglement Spectrum of Free Fermions
• Nature of a topological quantum phase transition in a chiral spin liquid model
• Quantum Entanglement of Fermionic Local Operators
• Identifying Non-Abelian Topological Order through Minimal Entangled States
• Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
• Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions
• Critical entanglement spectrum of one-dimensional symmetry protected topological phases
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Stable computation of entanglement entropy for 2D interacting fermion systems
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Mixed State Entanglement for Holographic Axion Model
• Geometric Entanglement in Topologically Ordered States
• Central Charge of Periodically Driven Critical Kitaev Chains
• Holographic entanglement entropy in insulator/superconductor transition with Born-Infeld electrodynamics
• Lattice effects on Laughlin wave functions and parent Hamiltonians
• Scaling of entanglement entropy across Lifshitz transitions
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Short-Range Entangled Bosonic States with Chiral Edge Modes and $T$-duality of Heterotic Strings
• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Entanglement Entropy and Mutual Information in Bose-Einstein Condensates
• Entanglement of Purification in Holographic Systems
• Entanglement Structure of Deconfined Quantum Critical Points
• Entanglement contour and modular flow from subset entanglement entropies
• Entanglement, non-Hermiticity, and duality
• Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries
• Anderson Topological Superconductor
• Disentanglement Cost of Quantum States
• Ensembles of physical states and random quantum circuits on graphs
• Local response of topological order to an external perturbation
• Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
• Modular Commutators in Conformal Field Theory
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Entanglement Entropy Near Cosmological Singularities
• Entanglement entropy in (1+1)D CFTs with multiple local excitations
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Non-abelian statistics from an abelian model
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• Exact results on the quench dynamics of the entanglement entropy in the toric code
• Quantum Phase Transition and Entanglement in Topological Quantum Wires
• Sufficient Condition for Entanglement Area Laws in Thermodynamically Gapped Spin Systems
• Measuring von Neumann entanglement entropies without wave functions
• Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
• Entanglement Spectra of the quantum hard-square model: Holographic minimal models
• Hopf algebra gauge theory on a ribbon graph
• Gapless Hamiltonians for the toric code using the PEPS formalism
• Trimer states with ${\mathbb{Z}}_3$ topological order in Rydberg atom arrays
• Topological quantum phase transition in an extended Kitaev spin model
• Design and Experimental Performance of Local Entanglement Witness Operators
• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• Universal Behavior of Entanglement in 2D Quantum Critical Dimer Models
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Vacuum Boundary Effects
• Entanglement Phase Transition in Holographic Pseudo Entropy
• Deep neural networks for direct, featureless learning through observation: the case of 2d spin models
• Non-Abelian phases in two-component $\nu =2/3$ fractional quantum Hall states: Emergence of Fibonacci anyons
• Many-body entanglement in a topological chiral ladder
• General procedure for determining braiding and statistics of anyons using entanglement interferometry
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Generating topological order from a 2D cluster state using a duality mapping
• Topological Characterization of Non-Abelian Moore-Read State using Density-Matrix Renormailzation Group
• Fermi-surface reconstruction without symmetry breaking
• Non-invertible symmetry-protected topological order in a group-based cluster state
• Dynamical disentangling and cooling of atoms in bilayer optical lattices
• Transition between algebraic and ${\mathbb{Z}}_2$ quantum spin liquids at large $N$
• Fractional Chiral Hinge Insulator
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Holographic entanglement density for spontaneous symmetry breaking
• Charged Topological Entanglement Entropy
• Optimal Renormalization Group Transformation from Information Theory
• Universal lower bound on topological entanglement entropy
• Double Semion Phase in an Exactly Solvable Quantum Dimer Model on the Kagome Lattice
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• Topological phase transitions at finite temperature
• Entanglement Entropy of One-dimensional Gapped Spin Chains
• Conditional quantum one-time pad
• Mutual information and spontaneous symmetry breaking
• Non-perturbative gadget for topological quantum codes
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Correlations, long-range entanglement and dynamics in long-range Kitaev chains
• Symmetry-protected entangling boundary zero modes in crystalline topological insulators
• Disorder-driven transition and intermediate phase for $\nu =5/2$ fractional quantum Hall effect
• Scaling of the entanglement spectrum in driving critical dynamics
• Enhancing Detection of Topological Order by Local Error Correction
• Universal sub-leading terms in ground state fidelity
• Non-Symmetry-Breaking Ground State of the S=1 Heisenberg Model on the Kagome lattice
• Frustrated topological symmetry breaking: geometrical frustration and anyon condensation
• Numerical stabilization of entanglement computation in auxiliary field quantum Monte Carlo simulations of interacting many-fermion systems
• Modular matrices from universal wave function overlaps in Gutzwiller-projected parton wave functions
• Long-lived topological time-crystalline order on a quantum processor
• Worm-algorithm-type Simulation of Quantum Transverse-Field Ising Model
• On the stability of charges in infinite quantum spin systems
• Local integrals of motion detection of localization-protected topological order
• Detecting subsystem symmetry protected topological order via entanglement entropy
• Higher Spin Entanglement Entropy
• Partition Functions of Non-Abelian Quantum Hall States
• A Bound on Holographic Entanglement Entropy from Inverse Mean Curvature Flow
• Matrix Product State description of the Halperin States
• Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
• On Enriching the Levin-Wen model with Symmetry
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Evolution of entanglement entropy at SU($N$) deconfined quantum critical points
• Symmetry protected topological orders of 1D spin systems with D2+T symmetry
• Zero dimensional area law in a gapless fermion system
• Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
• Entanglement Spectrum as a Probe for the Topology of a Spin-Orbit Coupled Superconductor
• Refined Holographic Entanglement Entropy for the AdS Solitons and AdS black Holes
• Topological feature and phase structure of QCD at complex chemical potential
• Theory of competing Chern-Simons orders and emergent phase transitions
• Scaling of entanglement in $2+1$-dimensional scale-invariant field theories
• Phenomenological Z_2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet
• Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions
• Entanglement Hamiltonian of Many-body Dynamics in Strongly-correlated Systems
• Capacity of Entanglement in Local Operators
• Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
• Entanglement dynamics following a sudden quench: an exact solution
• Quantum critical phase transition between two topologically-ordered phases in the Ising toric code bilayer
• Calculating Renyi Entropies with Neural Autoregressive Quantum States
• Mutual information and the F-theorem
• Universal Boundary Entropies in Conformal Field Theory: A Quantum Monte Carlo Study
• From Topological to Quantum Entanglement
• Comments on Defining Entanglement Entropy
• Quantum Entanglement of Locally Excited States in Maxwell Theory
• Entanglement Entropy in the Calogero-Sutherland Model
• Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Topological and dynamical properties of a generalized cluster model in one dimension
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Lectures on entanglement entropy in field theory and holography
• Symmetry-enriched topological order from partially gauging symmetry-protected topologically ordered states assisted by measurements
• Realizing topologically ordered states on a quantum processor
• Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
• Matrix Product State Description and Gaplessness of the Haldane-Rezayi State
• Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value
• Bipartite quantum states and random complex networks
• Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Domain wall topological entanglement entropy
• Dissipative preparation of many-body Floquet Chern insulators
• A model of chiral spin liquids with Abelian and non-Abelian topological phases
• Mean-field ansatz for topological phases with string tension
• Bulk entanglement entropy for photons and gravitons in AdS${}_3$
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Unusual Corrections to Scaling and Convergence of Universal Renyi Properties at Quantum Critical Points
• Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions
• Topological Order and Degenerate Singular Value Spectrum in Two-Dimensional Dimerized Quantum Heisenberg Model
• Entanglement Entropy of ($2+1$)-Dimensional SU(2) Lattice Gauge Theory on Plaquette Chains
• Correlations and entanglement in quantum critical bilayer and necklace XY models
• Charged Rényi Entropies in CFTs with Einstein-Gauss-Bonnet Holographic Duals
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• System-environment entanglement phase transitions
• Discontinuity of Maximum Entropy Inference and Quantum Phase Transitions
• Symmetry Protected Quantum State Renormalization
• Area law violations in a supersymmetric model
• Emergent conformal boundaries from finite-entanglement scaling in matrix product states
• Long-range entanglement near a Kondo-destruction quantum critical point
• Robustness of Topological Order in the Toric Code with Open Boundaries
• Quantum robustness and phase transitions of the 3D Toric Code in a field
• Entanglement properties of the time periodic Kitaev Chain
• Chiral entanglement in massive quantum field theories in 1+1 dimensions
• Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
• Holographic Relative Entropy in Infinite-dimensional Hilbert Spaces
• Topological graph states and quantum error correction codes
• Conditional Decoupling of Quantum Information
• Entanglement Entropy and Mutual Information of Circular Entangling Surfaces in 2 + 1-dimensional Quantum Lifshitz Model
• Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
• Many-body Localization Transition in Rokhsar-Kivelson-type wave functions
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics
• Seeing topological entanglement through the information convex
• Universal entanglement spectra in critical spin chains
• Entanglement Entropy & Anomaly Inflow
• Holographic Studies of The Generic Massless Cubic Gravities
• Topological entropy of realistic quantum Hall wave functions
• Local interactions and non-Abelian quantum loop gases
• Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate
• Entanglement in valence-bond-solid states on symmetric graphs
• Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition
• Machine learning on quantum experimental data toward solving quantum many-body problems
• Detecting Topological Entanglement Entropy in a Lattice of Quantum Harmonic Oscillators
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Entanglement estimation in tensor network states via sampling
• Adiabatic topological quantum computing
• Ising order parameter and topological phase transitions: Toric code in a uniform magnetic field
• Kagome model for a ${\mathbb{Z}}_2$ quantum spin liquid
• A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases
• Effective gauge theories of superfluidity with topological order
• On Holographic Entanglement Entropy with Second Order Excitations
• Page Curves for General Interacting Systems
• Characterizing topological order by the information convex
• Folding approach to topological orders enriched by mirror symmetry
• Entanglement Entropy of Annulus in Three Dimensions
• Particle partition entanglement of bosonic Luttinger liquids
• Detecting Topological Order with Ribbon Operators
• Entanglement entropy in a periodically driven quantum Ising chain
• Capacity of entanglement and distribution of density matrix eigenvalues in gapless systems
• Simulating topological tensor networks with Majorana qubits
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Three-fold way of entanglement dynamics in monitored quantum circuits
• Topological order, entanglement, and quantum memory at finite temperature
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
• Finite-size scaling of the Shannon-Rényi entropy in two-dimensional systems with spontaneously broken continuous symmetry
• Interplay of $SU(2)$, point group and translation symmetry for PEPS: application to a chiral spin liquid
• State-Dependent Divergences in the Entanglement Entropy
• Entanglement in tripartitions of topological orders: a diagrammatic approach
• Gravitational dual of the Rényi twist displacement operator
• Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
• An integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulation
• Accuracy of topological entanglement entropy on finite cylinders
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Gravitational back-reaction is magical
• Bipartite charge fluctuations in one-dimensional ${\mathbb{Z}}_2$ superconductors and insulators
• Probing non-equilibrium topological order on a quantum processor
• Entanglement and the fermion sign problem in auxiliary field quantum Monte Carlo simulations
• Entanglement with Centers
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Non-stabilizerness in kinetically-constrained Rydberg atom arrays
• dS${}_2$ Supergravity
• Entanglement Spectrum of a Random Partition: Connection with the Localization Transition
• Complete Characterization of the Ground Space Structure of Two-Body Frustration-Free Hamiltonians for Qubits
• Multipole and fracton topological order via gauging foliated SPT phases
• Tensor Network Implementation of Bulk Entanglement Spectrum
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Quantum Entanglement and Topological Order in Hole-Doped Valence Bond Solid States
• Toy model of boundary states with spurious topological entanglement entropy
• Quantum discord in a spin system with symmetry breaking
• Ryu-Takayanagi Area as an Entanglement Edge Term
• Complete crystalline topological invariants from partial rotations in (2+1)D invertible fermionic states and Hofstadter's butterfly
• Topological phases in small quantum Hall samples
• Semionic resonating valence bond states
• Entanglement entropy of composite Fermi liquid states on the lattice: In support of the Widom formula
• Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
• Quantum Critical Universality and Singular Corner Entanglement Entropy of Bilayer Heisenberg-Ising model
• Boson condensation and instability in the tensor network representation of string-net states
• Path-integral Monte Carlo method for the local Z_2 Berry phase
• Emergent gauge symmetries -- making symmetry as well as breaking it
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Mixed State Entanglement and Thermal Phase Transitions
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Realistic Area-Law Bound on Entanglement from Exponentially Decaying Correlations
• Spacetime Entanglement with f(R) Gravity
• Entanglement Entropy of Generalized Moore-Read Fractional Quantum Hall State Interfaces
• Progress towards a unified approach to entanglement distribution
• EPR = ER and Scattering Amplitude as Entanglement Entropy Change
• Verlinde formula from entanglement
• High-temperature domain walls of QCD with imaginary chemical potentials
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Knots, links, and long-range magic
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• Scale vs Conformal invariance from Entanglement Entropy
• Global entanglement in a topological quantum phase transition
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Condensations in higher categories
• Symmetric higher rank topological phases on generic graphs
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Holographic entropy inequalities and gapped phases of matter
• Holographic subregion complexity of boosted black brane and Fisher information
• Local convertibility of the ground state of the perturbed Toric code
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
• Soft-Hair-Enhanced Entanglement Beyond Page Curves in a Black-hole Evaporation Qubit Model
• Double-semion topological order from exactly solvable quantum dimer models
• Entanglement of skeletal regions
• Entropic Topological Invariants in Three Dimensions
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model
• Non-equilibrium quantum Monte Carlo algorithm for stabilizer Renyi entropy in spin systems
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• Quantum phase transition between symmetry enriched topological phases in tensor-network states
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions
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• Massless Lifshitz Field Theory for Arbitrary $z$
• Extracting higher central charge from a single wave function
• Entanglement Properties of Gauge Theories from Higher-Form Symmetries
• Numerical renormalization group method for entanglement negativity at finite temperature
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Black holes and thermodynamics - The first half century
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Diagnosing Topological Edge States via Entanglement Monogamy
• Degenerate groundstates and multiple bifurcations in a two-dimensional q-state quantum Potts model
• Persistent Homology of ${\mathbb{Z}}_2$ Gauge Theories
• Engineering topological states and quantum-inspired information processing using classical circuits
• Quasiparticles as Detector of Topological Quantum Phase Transitions
• Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
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• Extracting many-particle entanglement entropy from observables using supervised machine learning
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
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• Entanglement Entropy of Free Fermions in Timelike Slices
• Entanglement in Weakly Coupled Lattice Gauge Theories
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• Entanglement in the Quantum Hall Matrix Model
• Renyi entropies for classical stringnet models
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• Matrix Quantum Mechanics from Qubits
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• Geodesic string condensation from symmetric tensor gauge theory: a unifying framework of holographic toy models
• Topological ${\mathbb{Z}}_2$ RVB quantum spin liquid on the ruby lattice
• Negative tripartite mutual information after quantum quenches in integrable systems
• Experimental sample-efficient quantum state tomography via parallel measurements
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• Multipartite entanglement of the topologically ordered state in a perturbed toric code
• Bipartite Fluctuations and Topology of Dirac and Weyl Systems
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Noninvertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra
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• Measures of entanglement in non-Abelian anyonic systems
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• Area Law from Loop Quantum Gravity
• Entanglement dynamics in critical random quantum Ising chain with perturbations
• Distilling topological entropy from single entanglement measures on projected systems
• Multipartite information of free fermions on Hamming graphs
• Certifying ground-state properties of quantum many-body systems
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• Long-range entanglement and topological excitations
• An Operational Definition of Topological Order
• On Holographic Entanglement Density
• Functional completeness of planar Rydberg blockade structures
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Entanglement and Majorana edge states in the Kitaev model
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• Entanglement and level crossings in frustrated ferromagnetic rings
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Block Entanglement Entropy of Ground States with Long-Range Magnetic Order
• Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
• Long-range nonstabilizerness and phases of matter
• One-way deficit and quantum phase transitions in $XY$ model and extended Ising model
• Topological Crystalline Bose Insulator in Two Dimensions via Entanglement Spectrum
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• Multipartite entanglement in two-dimensional chiral topological liquids
• Duality transformations and the entanglement entropy of gauge theories
• Classification of symmetry-protected topological many-body localized phases in one dimension
• Elementary Excitations in Fractional Quantum Hall Effect from Classical Constraints
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• Scaling theory of entanglement entropy in confinements near quantum critical points
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Holographic spin networks from tensor network states
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• Geometric entanglement in integer quantum Hall states
• Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids
• Gauge field entanglement of Kitaev's honeycomb model
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Entanglement dualities in supersymmetry
• Hartle-Hawking state and its factorization in 3d gravity
• Entanglement entropy, dualities, and deconfinement in gauge theories
• Momentum Space Entanglement from the Wilsonian Effective Action
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Demonstrating the wormhole mechanism of the entanglement spectrum via a perturbed boundary
• Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions
• Randomized measurement protocols for lattice gauge theories
• Entanglement Dynamics of the Non-Unitary Holographic Channel
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• A strong-weak coupling duality between two perturbed quantum many-body systems: CSS codes and Ising-like systems
• Renyi Entropy of Interacting Thermal Bosons in Large $N$ Approximation
• Nonlocal Entanglement of 1D Thermal States Induced by Fermion Exchange Statistics
• Area law for random graph states
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements
• Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
• Nonlocal growth of quantum conditional mutual information under decoherence
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• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Multipartite edge modes and tensor networks
• Holographic entanglement thermodynamics for higher dimensional charged black hole
• Entanglement sum rules in exactly solvable models
• Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
• Information-theoretical formulation of anyonic entanglement
• Jones index, secret sharing and total quantum dimension
• Regularizing 3D conformal field theories via anyons on the fuzzy sphere
• Spin, orbital and topological order in models of strongly correlated electrons
• On the definition of entanglement entropy in lattice gauge theories
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Topological entanglement entropy of interacting disordered zigzag graphene ribbons
• Quantum probing topological phase transitions by non-Markovianity
• Signatures of broken parity and time-reversal symmetry in generalized string-net models
• Interspecies entanglement with impurity atoms in a lattice gas
• Mixed-State Entanglement Measures in Topological Order
• Lattice quantum codes and exotic topological phases of matter
• Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
• Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
• Interfaces and the extended Hilbert space of Chern-Simons theory
• Lattice Laughlin states on the torus from conformal field theory
• Statistical interactions and boson-anyon duality in fractional quantum Hall fluids
• Disentangling (2+1)d Topological States of Matter with the Entanglement Negativity
• Bounding Entanglement Entropy Using Zeros of Local Correlation Matrices
• On the relation of the entanglement spectrum to the bulk polarization
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Energy functionals from Conformal Gravity
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Identifying topological order in the Shastry-Sutherland model via entanglement entropy
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
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• Experimental signatures of 3d fractional topological insulators
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• Entanglement Entropy in Excited States of the Quantum Lifshitz Model
• Interplay of entanglement structures and stabilizer entropy in spin models
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Topological Entanglement Entropy in \(d\)-dimensions for Abelian Higher Gauge Theories
• Holographic entanglement entropy of the near horizon 1/4 BPS F-D$p$ bound states
• Entanglement properties of Floquet Chern insulators
• An entropy perspective on the thermal crossover in a fermionic Hubbard chain
• Anatomy of Fermionic Entanglement and Criticality in Kitaev Spin Liquids
• Instability of Universal Terms in the Entanglement Entropy
• Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Comparative study of the density matrix embedding theory for the Hubbard models
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Identifying quantum phases from injectivity of symmetric matrix product states
• Fractional Quantum Hall Matrix Product States For Interacting Conformal Field Theories
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• The Edge of Entanglement: Getting the Boundary Right for Non-Minimally Coupled Scalar Fields
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• Entanglement Signature of Hinge Arcs, Fermi Arcs, and Crystalline Symmetry Protection in Higher-Order Weyl Semimetals
• Determining the structure of real-space entanglement spectrum from approximate conditional independence
• Entanglement on multiple $S^2$ boundaries in Chern-Simons theory
• Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
• Entanglement Entropy of Local Operators in Quantum Lifshitz Theory
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• A unified diagrammatic approach to topological fixed point models
• Topological obstructed atomic limit by annihilating Dirac fermions
• Topological entanglement entropy of three-dimensional Kitaev model
• Disentangling topological degeneracy in the entanglement spectrum of one-dimensional symmetry protected topological phases
• Truncation of lattice fractional quantum Hall Hamiltonians derived from conformal field theory
• Topologically Ordered Steady States in Open Quantum Systems
• Topological order and Fractons from Gauging Exponential Symmetries
• Spin Correlations and Topological Entanglement Entropy in a Non-Abelian Spin-1 Spin Liquid
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• Quantum teleportation using Ising anyons
• Definitions of entanglement entropy of spin systems in the valence-bond basis
• An analog of topological entanglement entropy for mixed states
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Model wavefunctions for interfaces between lattice Laughlin states
• Entropy scaling law and the quantum marginal problem
• Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
• Abelian and non-Abelian chiral spin liquids in a compact tensor network representation
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
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• Entanglement spectrum of fermionic bilayer honeycomb lattice: Hofstadter butterfly
• Topological Entropy of Quantum Hall States in Rotating Bose Gases
• Holographic Renyi entropies from hyperbolic black holes with scalar hair
• Classical criticality establishes quantum topological order
• Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics
• Flavored N=4 SYM -- a highly entangled quantum liquid
• A Rényi entropy perspective on topological order in classical toric code models
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• A quantum phase transition from $Z_2\times Z_2$ to $Z_2$ topological order
• Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
• Many-body-localization protection of eigenstate topological order in two dimensions
• Topological Minimally Entangled States via Geometric Measure
• Numerical calculations on the relative entanglement entropy in critical spin chains
• An efficient Monte Carlo algorithm for the evaluation of Renyi entanglement entropy of a general quantum dimer model at the R-K point
• Many-body entanglement and topology from uncertainties and measurement-induced modes
• Sum rule for the pseudo-Rényi entropy
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Topological insulators with arbitrarily tunable entanglement
• Mixed-state Entanglement for AdS Born-Infeld Theory
• Thermal Area Law in Long-Range Interacting Systems
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• Laughlin topology on fractal lattices without area law entanglement
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Entropic topological invariant for a gapped one-dimensional system
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Numerical investigations of the extensive entanglement Hamiltonian in quantum spin ladders
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
• Transition of a ${\mathbb{Z}}_3$ topologically ordered phase to trivial and critical phases
• Parafermions in Hierarchical Fractional Quantum Hall States
• Locality of Edge States and Entanglement Spectrum from Strong Subadditivity
• Hybrid Ground-State Quantum Algorithms based on Neural Schrödinger Forging
• Entanglement generation in a system of two atomic quantum dots coupled to a pool of interacting bosons
• Topological string entanglement
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• $3d$ One-form Mixed Anomaly and Entanglement Entropy
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• The mixed-state entanglement in holographic p-wave superconductor model
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• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Generalized toric codes on twisted tori for quantum error correction
• Entangelment Entropy on Generalized Brillouin Zone
• Spin-1 Haldane chains of superconductor-semiconductor hybrids
• Generalized Kramers-Wannier Duality from Bilinear Phase Map
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• Anomaly inflow, dualities, and quantum simulation of abelian lattice gauge theories induced by measurements
• Steady-state topological order
• Measuring topological entanglement entropy using Maxwell relations
• Evolving Quantum Circuits
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• Parametrized quantum circuit for weight-adjustable quantum loop gas
• Squashed entanglement in one-dimensional quantum matter
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Stability of topological purity under random local unitaries
• Lieb-Schultz-Mattis theorem in higher dimensions from approximate magnetic translation symmetry
• Orbital Frustration and Emergent Flat Bands
• Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Dynamics and Quantum correlations in Two independently driven Rydberg atoms with distinct laser fields
• Vanishing k-space fidelity and phase diagram's bulk-edge-bulk correspondence
• Bosonic Gaussian states from conformal field theory
• Commuting-projector Hamiltonians for chiral topological phases built from parafermions
• On the Entanglement Entropy of Maxwell Theory: A Condensed Matter Perspective
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• Edge--Entanglement correspondence for gapped topological phases with symmetry
• A bilayer Double Semion Model with Symmetry-Enriched Topological Order
• Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model
• On Quantum Entanglement in Topological Phases on a Torus
• Holographic Chern-Simons Defects
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Irreducible many-body correlations in topologically ordered systems
• Charge conservation protected topological phases
• Entanglement in Theory Space
• Topological entanglement entropy in Gutzwiller projected spin liquids
• Bulk-Edge correspondence of entanglement spectrum in 2D spin ground states
• Entanglement susceptibility: Area laws and beyond
• Tensor-product representations for string-net condensed states
• Entanglement Entropy of Random Fractional Quantum Hall Systems
• Topological entanglement entropy in the second Landau level
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• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Deterministic quantum one-time pad via Fibonacci anyons
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• Fractional quantum Hall effect of Bose-Fermi mixtures
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Semiclassical limit of topological Rényi entropy in $3d$ Chern-Simons theory
• Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
• New disordered anyon phase of doped graphene zigzag nanoribbon
• Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
• Entanglement entropy as a witness of the Aharonov-Bohm effect in QFT
• Galois conjugates of String-net Model
• Musings on SVD and pseudo entanglement entropies
• Universal Characterization of Quantum Many-Body States through Local Information
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Generalized mean field description of entanglement in dimerized spin systems
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Predicting Topological Entanglement Entropy in a Rydberg analog simulator
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Entanglement in 3D Kitaev Spin Liquids
• Negativity in the Generalized Valence Bond Solid State
• Entanglement Entropy and Duality
• Li doping kagome spin liquid compounds
• Fusion rules and shrinking rules of topological orders in five dimensions
• Correspondence between bulk entanglement and boundary excitation spectra in 2d gapped topological phases
• Classification and emergence of quantum spin liquids in chiral Rydberg models
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• Bulk Entanglement Spectrum in Gapped Spin Ladders
• Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
• An entropic invariant for 2D gapped quantum phases
• On phase transitions in the Rényi entropies of 2+1-d large-N interacting vector models
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• Thermal state entanglement entropy on a quantum graph
• Quantum phase transitions in the $K$-layer Ising toric code
• Detection of Topology via Entanglement Oscillations
• The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect
• Learning quantum phases via single-qubit disentanglement
• Inverted c-functions in thermal states
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Finite size effects in the Z_2 spin liquid on the kagome lattice
• Disorder induced topological phase transition in a driven Majorana chain
• Playing nonlocal games with phases of quantum matter
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• Entanglement Dynamics between Ising Spins and a Central Ancilla
• Topological ordering in the Majorana Toric Code
• Direct Calculation of Mutual Information of Distant Regions
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• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
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• String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems
• Symmetry classification of typical quantum entanglement
• Variational Tensor Network Operator
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• Anyon Quantum Dimensions from an Arbitrary Ground State Wave Function
• Entanglement Entropy of Topological Orders with Boundaries
• Multi-boundary entanglement in Chern-Simons theory with finite gauge groups
• Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
• Fractional Quantum Hall Effect Based on Weyl Orbits
• A new signature of quantum phase transitions from the numerical range
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• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Universal edge information from wave-function deformation
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• Many-body systems with spurious modular commutators
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• Chiral spin liquid in a ${\mathbb{Z}}_3$ Kitaev model
• Extracting Universal Corner Entanglement Entropy during the Quantum Monte Carlo Simulation
• Controlling measurement-induced phase transitions with tunable detector coupling
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• Weakly interacting one-dimensional topological insulators: a bosonization approach
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• Sine-Gordon Theory : Entanglement entropy and holography
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• A note on electromagnetic edge modes
• On the particle entanglement spectrum of the Laughlin states
• Volume and Topological Invariants of Quantum Many-body Systems
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Numerical determination of the entanglement entropy for a Maxwell field in the cylinder
• Entanglement studies of interacting fermionic models
• Corner Modes and Ground-State Degeneracy in Models with Gauge-Like Subsystem Symmetries
• Holographic information theoretic quantities for Lifshitz black hole
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• Genuine tripartite entanglement as a probe of quantum phase transitions in a spin-1 Heisenberg chain with single-ion anisotropy
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• Detecting topological order from modular transformations of ground states on the torus
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• Chiral Virasoro algebra from a single wavefunction
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• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
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• Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
• Classical and quantum spin liquids
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• Spin-wave study of entanglement and Rényi entropy for coplanar and collinear magnetic orders in two-dimensional quantum Heisenberg antiferromagnets
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• Entanglement of Free Fermions and Bosons at Finite Temperature
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• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
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• On the topological and crosscap entropies in non-oriented RCFTs
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• Aspects of quantum gravity
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• Robustness of Topological Order in Semiconductor-Superconductor Nanowires in the Coulomb Blockade Regime
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• Shape dependence of mutual information in the OPE limit: linear responses
• Topological Phase Transitions Induced by Varying Topology and Boundaries in the Toric Code
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Numerical identification and gapped boundaries of abelian fermionic topological order
• Universal properties of the FQH state from the topological entanglement entropy and disorder effects
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Remote detectability from entanglement bootstrap I: Kirby's torus trick
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Extractable entanglement from a Euclidean hourglass
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality
• Subfactors and quantum information theory
• The length scale measurements of the Fractional quantum Hall state on cylinder
• Revisiting the symmetry-resolved entanglement for non-invertible symmetries in $1+1$d conformal field theories
• Measuring temporal entropies in experiments
• Measurement-invisible quantum correlations in scrambling dynamics
• A witness for topological order and stable quantum memories in abelian anyonic systems
• Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
• Separable ellipsoids around multipartite states
• Holographic duality and applications
• Single-shot quantum measurements sketch quantum many-body states
• Topological Phase Transitions in a Constrained Two-Qubit Quantum Control Landscape
• On symmetry-resolved generalized entropies
• Partially topological phase in a quantum loop gas model with tension and pressure
• De Sitter Horizon Edge Partition Functions
• Topological correlation: anyonic states cannot be determined by local operations and classical communication
• Entanglement spectra of superconductivity ground states on the honeycomb lattice
• Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions
• Notes on Entanglement Entropy in String Theory
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Parity-dependent phase diagrams in spin-cluster two-leg ladders
• Observable-enriched entanglement
• Deviation from maximal entanglement for mid-spectrum eigenstates of local Hamiltonians
• Two-dimensional topological paramagnets protected by ${\mathbb{Z}}_3$ symmetry: Properties of the boundary Hamiltonian
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Fractional quantum Hall interface induced by geometric singularity
• Absence of gapless Majorana edge modes in few-leg bosonic flux ladders
• Fermionic Partial Transpose in the Overlap Matrix Framework for Entanglement Negativity
• Most two-dimensional bosonic topological orders forbid sign-problem-free quantum Monte Carlo: Nonpositive Gauss sum as an indicator
• Hyperfine Structure of Quantum Entanglement
• Entanglement Entropy and Quantum Phase Transition in the $O(N)$ $\sigma$-model
• Simulating Topological Order on Quantum Processors
• Bell's Inequality, Generalized Concurrence and Entanglement in Qubits
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• Towards Entanglement Entropy of Random Large-N Theories
• Worldline deconfinement and emergent long-range interaction in the entanglement Hamiltonian and in the entanglement spectrum
• Superactivation of Bell nonlocality in pure anyonic states
• Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits
• Markov Gap and Bound Entanglement in Haar Random State
• Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Inspecting non-perturbative contributions to the Entanglement Entropy via wavefunctions
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Pseudoentanglement from tensor networks
• Measurement-Induced Entanglement in Conformal Field Theory
• Immersed figure-8 annuli and anyons
• Entropy scaling law and the quantum marginal problem: simplification and generalization
• ${\mathbb{Z}}_N$ generalizations of three-dimensional stabilizer codes
• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
• Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
• Hall-on-Toric: Descendant Laughlin state in the chiral ${\mathbb{Z}}_p$ toric code
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• Chiral Bosonic Topological Insulator on the Honeycomb Lattice with Anisotropic Interactions
• Aspects of Entanglement Entropy in Algebraic Quantum Field Theory
• Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian
• Fractal decompositions and tensor network representations of Bethe wavefunctions
• Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Entanglement studies of resonating valence bonds on the frustrated square lattice
• Linear-optical generation of eigenstates of the two-site XY model
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Non-relativistic entanglement entropy from Horava gravity
• Instantons and topological order in two-leg electron ladders: A universality class
• Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states
• Spectral signatures of nonstabilizerness and criticality in infinite matrix product states
• Les Houches Lecture Notes on Tensor Networks
• Parent Lindbladians for Matrix Product Density Operators
• Information Theoretic Inequalities as Bounds in Superconformal Field Theory
• Rényi-like entanglement probe of the chiral central charge
• (2+1)D topological phases with RT symmetry: many-body invariant, classification, and higher order edge modes
• Unsupervised Learning of Symmetry Protected Topological Phase Transitions
• Topological Order in Neural Wavefunctions
• Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
• The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems
• Entanglement of Spatial Regions vs. Entanglement of Particles
• Topological Entanglement Entropy, Ground State Degeneracy and Holography
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Extended string-net models with all anyons at finite temperature
• Rényi entropies for one-dimensional quantum systems with mixed boundary conditions
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• Sequential Generation of Two-dimensional Super-area-law States with Local Parent Hamiltonian
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
• Entanglement transitions in a boundary-driven open quantum many-body system
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Multipartite Entanglement in Crossing the Quantum Critical Point
• Energetical self-organization of a few strongly interacting particles
• QFT Entanglement Entropy, 2D Fermion and Gauge Fields
• Topological Properties and Characterizations
• On Entanglement Entropy of Maxwell fields in 3+1 dimensions
• Topological order on the Bloch sphere
• Entanglement Entropy Evolution under Double-trace Deformation
• Mutual information in interacting spin systems
• Quantum entropy thermalization
• Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States
• Confinement and Flux Attachment
• Topological entanglement entropy of the BTZ black hole
• Engineering entanglement geometry via spacetime-modulated measurements
• Fibonacci sequence and its generalizations in doped quantum spin ladders
• The topological order of the space
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
• Topological entanglement entropy for torus knot bipartitions and the Verlinde-like formulas
• Standard Temperature and Pressure Superconductivity
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
• Semidual Kitaev lattice model and tensor network representation
• Entanglement signatures of a percolating quantum system
• Rényi entropy of the permutationally invariant part of the ground state across a quantum phase transition
• On the origin of Phase Transitions in the absence of Symmetry-Breaking
• Universal entanglement correction induced by relevant deformations at the quantum critical point
• Disorder-protected topological entropy after a quantum quench
• Entanglement and Excitations in Gauge/Gravity Duality
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods
• Geometric additivity of modular commutator for multipartite entanglement
• Diverging scaling with converging multisite entanglement in odd and even quantum Heisenberg ladders
• Entanglement scaling and criticality of infinite-size quantum many-body systems in continuous space addressed by a tensor network approach
• Topological entanglement and number theory
• SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states
• Superselection Rules, Bosonization Duality in 1+1 Dimensions and Momentum-Space Entanglement
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities
• Distinct topological excitonic insulators characterized by quantum geometry
• Topological entanglement entropy meets holographic entropy inequalities
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• A graph-based approach to entanglement entropy of quantum error correcting codes
• Homological Stabilizer Codes
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
• Optimal bound on long-range distillable entanglement
• Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity
• Partons from stabilizer codes
• Bell sampling in Quantum Monte Carlo simulations
• Quantum Resource Theories of Anyonic Entanglement
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point
• Entanglement Complexity in Many-body Systems from Positivity Scaling Laws
• Quantum Hall correlations in tilted extended Bose-Hubbard chains
• Utility-Scale Quantum State Preparation: Classical Training using Pauli Path Simulation
• Exact Mappings in Condensed Matter Physics
• Universal Decay of Mutual Information and Conditional Mutual Information in Gapped Pure- and Mixed-State Quantum Matter
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Entanglement spectrum of gapless topological phases: a case study with topological superconductors
• Higher-form entanglement asymmetry and topological order
• Entanglement Spectrum Resolved by Loop Symmetries
• Tensor network states for the description of quantum many-body systems
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Symmetry-enriched topological order and quasifractonic behavior in ${\mathbb{Z}}_N$ stabilizer codes
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study
• Analytically Continuing the Randomized Measurement Toolbox
• Holographic duality between bulk topological order and boundary mixed-state order
• Network topology transition at criticality
• Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model
• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Entanglement Entropy in Many-Fermion System
• Measuring the Unique Identifiers of Topological Order Based on Boundary-Bulk Duality and Anyon Condensation
• Topological Entanglement Entropy and Braids in Chern-Simons Theory
• Cooperation and dependencies in multipartite systems
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Quantum information measures and their applications in quantum field theory
• Knots and entanglement
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
• Quantum entanglement in the t-J chain: From charge-spin separation to recombination
• Unveiling topological order through multipartite entanglement