Topological entanglement entropy

Abstract

We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the plane, with a smooth boundary of length L, large compared to the correlation length. In the ground state, by tracing out all degrees of freedom in the exterior of the disk, we obtain a marginal density operator ρfor the degrees of freedom in the interior. The von Neumann entropy S(ρ) of this density operator, a measure of the entanglement of the interior and exterior variables, has the form S(ρ)= αL -γ+ ..., where the ellipsis represents terms that vanish in the limit L\to\infty. The coefficient α, arising from short wavelength modes localized near the boundary, is nonuniversal and ultraviolet divergent, but -γis a universal additive constant characterizing a global feature of the entanglement in the ground state. Using topological quantum field theory methods, we derive a formula for γin terms of properties of the superselection sectors of the medium.

4 pages, 3 eps figures. v2: reference added

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• Growth of mutual information in a quenched one-dimensional open quantum many body system
• The holographic entropy arrangement
• Renyi Entropies of Interacting Fermions from Determinantal Quantum Monte Carlo Simulations
• Non-stabilizerness versus entanglement in matrix product states
• Symmetry-protected topological phases with charge and spin symmetries: response theory and dynamical gauge theory in 2D, 3D and the surface of 3D
• Generalizations of Reflected Entropy and the Holographic Dual
• Separability transitions in topological states induced by local decoherence
• Negativity for two blocks in the one dimensional Spin 1 AKLT model
• Lattice Laughlin States of Bosons and Fermions at Filling Fractions $1/q$
• Extended actions, dynamics of edge modes, and entanglement entropy
• Topological phases from higher gauge symmetry in 3+1D
• Entanglement Entropy in (3+1)-d Free $U(1)$ Gauge Theory
• Topological phases and topological entropy of two-dimensional systems with finite correlation length
• Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
• Entanglement Entropy, Quantum Fluctuations, and Thermal Entropy in Topological Phases
• QCD as a topologically ordered system
• Entanglement in an SU(n) Valence-Bond-Solid State
• Entanglement entropy of the large $N$ Wilson-Fisher conformal field theory
• Characterizing disordered fermion systems using the momentum-space entanglement spectrum
• Topological Rényi entropy after a quantum quench
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Bulk Entanglement Spectrum Reveals Quantum Criticality within a Topological State
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
• Modular commutator in gapped quantum many-body systems
• Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
• Universalities of thermodynamic signatures in topological phases
• Entanglement at a Two-Dimensional Quantum Critical Point: a T=0 Projector Quantum Monte Carlo Study
• Interface Contributions to Topological Entanglement in Abelian Chern-Simons Theory
• Renyi entropy, mutual information, and fluctuation properties of Fermi liquids
• Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
• Quantum Simulation of the Haldane Phase Using Trapped Ions
• Topological Entanglement Entropy with a Twist
• A path integral Monte Carlo method for Rényi entanglement entropies
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• `Unhinging' the surfaces of higher-order topological insulators and superconductors
• Topological non-linear $\sigma$-model, higher gauge theory, and a realization of all 3+1D topological orders for boson systems
• Bridging Perturbative Expansions with Tensor Networks
• Charged Renyi entropies and holographic superconductors
• Measures of complexity and entanglement in fermionic many-body systems
• Fractional Statistics and the Butterfly Effect
• Scaling Theory of Topological Phase Transitions
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Parafermionic phases with symmetry-breaking and topological order
• Minimal Entangled States and Modular Matrix for Fractional Quantum Hall Effect in Topological Flat Bands
• Scaling of Entanglement Entropy at 2D quantum Lifshitz fixed points and topological fluids
• Bounds on corner entanglement in quantum critical states
• Single crystal growth of Cu4(OH)6BrF and universal behavior in quantum spin liquid candidates synthetic barlowite and herbertsmithite
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• An area law for 2D frustration-free spin systems
• Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
• Disorder-assisted error correction in Majorana chains
• Fusion rules from entanglement
• Entanglement entropy between two coupled Tomonaga-Luttinger liquids
• 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
• Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Dynamical phase behavior of the single- and multi-lane asymmetric simple exclusion process via matrix product states
• Universal Wave Function Overlap and Universal Topological Data from Generic Gapped Ground States
• 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
• Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Quantum Kagome Ice
• Entanglement entropy, planar surfaces, and spectral functions
• Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
• On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity
• Entanglement Scaling of Fractional Quantum Hall states through Geometric Deformations
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• An equal area law for holographic entanglement entropy of the AdS-RN black hole
• Unconventional Quantum Critical Points
• Unexpected z-Direction Ising Antiferromagnetic Order in a frustrated Spin-1/2 $J_1-J_2$ XY Model on the Honeycomb Lattice
• Haldane Statistics in the Finite Size Entanglement Spectra of Laughlin States
• Reduced fidelity in topological quantum phase transitions
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Coupled wire model of symmetric Majorana surfaces of topological superconductors
• Experimentally Probing Topological Order and Its Breakdown via Modular Matrices
• Bipartite entanglement entropy of the excited states of the free fermions and the harmonic oscillators
• Tensor network representations of parton wave functions
• Rigorous free fermion entanglement renormalization from wavelet theory
• Decorated Defect Construction of Gapless-SPT States
• Topology and Criticality in Resonating Affleck-Kennedy-Lieb-Tasaki loop Spin Liquid States
• Entanglement Entropy of U(1) Quantum Spin Liquids
• Holographic entanglement entropy of the BTZ black hole
• Detection of Symmetry Enriched Topological Phases
• 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
• Universal aspects in the behavior of the entanglement spectrum in one dimension: scaling transition at the factorization point and ordered entangled structures
• Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
• Detecting Goldstone Modes with Entanglement Entropy
• Three-dimensional de Sitter horizon thermodynamics
• Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology
• Crystalline Kitaev spin liquids
• Absence of barren plateaus in finite local-depth circuits with long-range entanglement
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields
• Topological pseudo entropy
• Compactifying fracton stabilizer models
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Finite Features of Quantum De Sitter Space
• Entanglement Hamiltonian of quantum critical chains and conformal field theories
• 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
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• On 2-form gauge models of topological phases
• Entanglement patterns and generalized correlation functions in quantum many body systems
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Experimental implementation of adiabatic passage between different topological orders
• A gauge theory generalization of the fermion-doubling theorem
• Subsystem symmetry enriched topological order in three dimensions
• Spin liquid versus dimer phases in an anisotropic J1-J2 frustrated square antiferromagnet
• Non-Abelian Quantum Hall States and their Quasiparticles: from the Pattern of Zeros to Vertex Algebra
• The enigmatic 12/5 fractional quantum Hall effect
• Gauge-invariant Variables and Entanglement Entropy
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Multipartite entanglement after a quantum quench
• Fluctuations and Entanglement spectrum in quantum Hall states
• Notes on Entanglement in Abelian Gauge Theories
• Recent Developments in Fractional Chern Insulators
• Topological reflected entropy in Chern-Simons theories
• Changing topology by topological defects in three-dimensional topologically ordered phases
• Ground state degeneracy on torus in a family of ${\mathbb{Z}}_N$ toric code
• Topological Disorder Parameter
• Establishing non-Abelian topological order in Gutzwiller projected Chern insulators via Entanglement Entropy and Modular S-matrix
• Unquenched massive flavors and flows in Chern-Simons matter theories
• Entanglement Spectroscopy using Quantum Monte Carlo
• Equipartition of Entanglement in Quantum Hall States
• Structure of Quasiparticles and Their Fusion Algebra in Fractional Quantum Hall States
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Entanglement between particle partitions in itinerant many-particle states
• Entanglement Entropy of Non-Hermitian Free Fermions
• Scrambling Ability of Quantum Neural Networks Architectures
• Entanglement Entropy in 2D Non-abelian Pure Gauge Theory
• Measures of quantum correlations in infinite-dimensional systems
• Stability of topologically invariant order parameters at finite temperature
• Boundary Entropy Can Increase Under Bulk RG Flow
• Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
• Entanglement in gapless resonating valence bond states
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Emergent gauge fields and the high temperature superconductors
• Perturbative analysis of topological entanglement entropy from conditional independence
• Functional renormalization group approach to SU(N) Heisenberg models: Momentum-space RG for the large-N limit
• Foliated fracton order in the Majorana checkerboard model
• Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Two-dimensional ${\mathbb{Z}}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order
• Measurement of Identical Particle Entanglement and the Influence of Antisymmetrisation
• Finite and Infinite Matrix Product States for Gutzwiller Projected Mean-Field Wavefunctions
• Topological order of mixed states in quantum many-body systems
• Probing topological order with Rényi entropy
• Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
• Stability of mixed-state quantum phases via finite Markov length
• Anyon braiding in semi-analytical fractional quantum Hall lattice models
• Measuring space-group symmetry fractionalization in Z${}_2$ spin liquids
• Exactly soluble local bosonic cocycle models, statistical transmutation, and simplest time-reversal symmetric topological orders in 3+1D
• 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
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Infinite Projected Entangled-Pair State algorithm for ruby and triangle-honeycomb lattices
• Symmetry-enforced many-body separability transitions
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Bulk Topological Proximity Effect
• Entanglement spectroscopy of chiral edge modes in the Quantum Hall effect
• Ground-state fidelity of Luttinger liquids: A wave functional approach
• Holographic Entanglement Entropy and Confinement
• Fractional spin liquid hierarchy for spin S antiferromagnets
• Quantum Entanglement and Thermal Reduced Density Matrices in Fermion and Spin Systems on Ladders
• Anomalies and entanglement renormalization
• Topological Insulators and Quantum Spin Liquids
• Structure of Quantum Entanglement at a Finite Temperature Critical Point
• Entanglement Spectra of Stabilizer Codes: A Window into Gapped Quantum Phases of Matter
• Entanglement entropy of (3+1)D topological orders with excitations
• Revisiting Entanglement Entropy of Lattice Gauge Theories
• Bosonic Fractional Quantum Hall States on a Finite Cylinder
• Universal features of entanglement entropy in the honeycomb Hubbard model
• The negativity contour: a quasi-local measure of entanglement for mixed states
• Multipartitioning topological phases by vertex states and quantum entanglement
• Entanglement entropy from entanglement contour: higher dimensions
• Detecting Topological Quantum Phase Transitions via the c-Function
• Topological Insulators and Superconductors from String Theory
• Comments on Entanglement Entropy in String Theory
• Topological Multipartite Entanglement in a Fermi Liquid
• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• Renyi Entropy and Geometry
• 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
• Entanglement Entropy Flow and the Ward Identity
• Model States for a Class of Chiral Topological Order Interfaces
• Rényi generalizations of quantum information measures
• Entanglement entropy in dynamic quantum-coherent conductors
• Local characterization of 1d topologically ordered states
• Investigating Topological Order using Recurrent Neural Networks
• Lattice study of Rényi entanglement entropy in $SU(N_c)$ lattice Yang-Mills theory with $N_c=2,3,4$
• Constructible reality condition of pseudo entropy via pseudo-Hermiticity
• From entanglement generated dynamics to the gravitational anomaly and chiral central charge
• The Speed of Quantum Information Spreading in Chaotic Systems
• A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions
• Two-cylinder entanglement entropy under a twist
• Entanglement negativity in free-fermion systems: An overlap matrix approach
• Reduced density matrix and order parameters of a topological insulator
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer
• Entanglement and corner Hamiltonian spectra of integrable open spin chains
• Long-range entanglement is necessary for a topological storage of quantum information
• Entanglement properties of topological color codes
• Quantum Complementarity through Entropic Certainty Principles
• Kitaev Quantum Spin Liquids
• Symmetry-Protected Topological Interfaces and Entanglement Sequences
• Rényi entanglement entropies in quantum dimer models : from criticality to topological order
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Algebraically contractible topological tensor network states
• Classifying local fractal subsystem symmetry protected topological phases
• Featureless quantum insulator on the honeycomb lattice
• The Frustration of being Odd: Universal Area Law violation in local systems
• Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
• Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Entanglement order parameters and critical behavior for topological phase transitions and beyond
• 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
• Subarea law of entanglement in nodal fermionic systems
• Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• A universal tripartite entanglement signature of ungappable edge states
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
• Bosonic quantum Hall states in single-layer two-dimensional optical lattices
• Entanglement bootstrap approach for gapped domain walls
• Magnetic Raman continuum in single crystalline H${}_3$LiIr${}_2$O${}_6$
• Anyonic Entanglement and Topological Entanglement Entropy
• The Existence of Featureless Paramagnets on the Square and the Honeycomb Lattices in 2+1D
• Identifying Non-Abelian Topological Order through Minimal Entangled States
• Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States
• Magic-induced computational separation in entanglement theory
• Renormalization group flow of entanglement entropy on spheres
• Superbalance of Holographic Entropy Inequalities
• 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
• Entanglement entropy of two-dimensional Anti-de Sitter black holes
• Symmetry-Protected Topological Entanglement
• Chiral entanglement in triangular lattice models
• Quantum Entanglement of Fermionic Local Operators
• Preparing Greenberger-Horne-Zeilinger and $W$ states on a long-range Ising spin model by global controls
• Variational Ansatz for an Abelian to non-Abelian Topological Phase Transition in $\nu =1/2+1/2$ Bilayers
• Quantum correlations in molecules: from quantum resourcing to chemical bonding
• Nature of a topological quantum phase transition in a chiral spin liquid model
• Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
• Mixed State Entanglement for Holographic Axion Model
• Geometric Entanglement in Topologically Ordered States
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Holographic entanglement entropy in insulator/superconductor transition with Born-Infeld electrodynamics
• Lattice effects on Laughlin wave functions and parent Hamiltonians
• Critical entanglement spectrum of one-dimensional symmetry protected topological phases
• Short-Range Entangled Bosonic States with Chiral Edge Modes and $T$-duality of Heterotic Strings
• Central Charge of Periodically Driven Critical Kitaev Chains
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions
• Scaling of entanglement entropy across Lifshitz transitions
• Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
• Stable computation of entanglement entropy for 2D interacting fermion systems
• Globally symmetric topological phase: from anyonic symmetry to twist defect
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• Quantum Phase Transition and Entanglement in Topological Quantum Wires
• Non-abelian statistics from an abelian model
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Zero Modes and Entanglement Entropy
• Entanglement contour and modular flow from subset entanglement entropies
• Entanglement of Purification in Holographic Systems
• Entanglement Entropy and Mutual Information in Bose-Einstein Condensates
• Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries
• Measuring von Neumann entanglement entropies without wave functions
• Disentanglement Cost of Quantum States
• Entanglement entropy from non-equilibrium Monte Carlo simulations
• Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
• Entanglement Structure of Deconfined Quantum Critical Points
• Exact results on the quench dynamics of the entanglement entropy in the toric code
• Entanglement Entropy Near Cosmological Singularities
• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Local response of topological order to an external perturbation
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• Modular Commutators in Conformal Field Theory
• Anderson Topological Superconductor
• Entanglement, non-Hermiticity, and duality
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Entanglement entropy in (1+1)D CFTs with multiple local excitations
• Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
• Ensembles of physical states and random quantum circuits on graphs
• Sufficient Condition for Entanglement Area Laws in Thermodynamically Gapped Spin Systems
• Quantum spin state transitions in spin-1 equilateral triangular lattice antiferromagnet Na${}_2$BaNi(PO${}_4$)${}_2$
• Gapless Hamiltonians for the toric code using the PEPS formalism
• Capacity of Entanglement for Non-local Hamiltonian
• Topological quantum phase transition in an extended Kitaev spin model
• Entanglement Phase Transition in Holographic Pseudo Entropy
• Universal Behavior of Entanglement in 2D Quantum Critical Dimer Models
• Design and Experimental Performance of Local Entanglement Witness Operators
• Deep neural networks for direct, featureless learning through observation: the case of 2d spin models
• Vacuum Boundary Effects
• Trimer states with ${\mathbb{Z}}_3$ topological order in Rydberg atom arrays
• Momentum-space entanglement for interacting fermions at finite density
• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• Entanglement Spectra of the quantum hard-square model: Holographic minimal models
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Many-body entanglement in a topological chiral ladder
• Topological Characterization of Non-Abelian Moore-Read State using Density-Matrix Renormailzation Group
• Double Semion Phase in an Exactly Solvable Quantum Dimer Model on the Kagome Lattice
• Fermi-surface reconstruction without symmetry breaking
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Non-Abelian phases in two-component $\nu =2/3$ fractional quantum Hall states: Emergence of Fibonacci anyons
• Holographic entanglement density for spontaneous symmetry breaking
• Generating topological order from a 2D cluster state using a duality mapping
• Dynamical disentangling and cooling of atoms in bilayer optical lattices
• Vacuum Energy and Renormalization on the Edge
• General procedure for determining braiding and statistics of anyons using entanglement interferometry
• Charged Topological Entanglement Entropy
• Transition between algebraic and ${\mathbb{Z}}_2$ quantum spin liquids at large $N$
• Fractional Chiral Hinge Insulator
• Optimal Renormalization Group Transformation from Information Theory
• Universal lower bound on topological entanglement entropy
• Mutual information and spontaneous symmetry breaking
• Topological invariant for two-dimensional open systems
• Modular matrices from universal wave function overlaps in Gutzwiller-projected parton wave functions
• Symmetry-protected entangling boundary zero modes in crystalline topological insulators
• Long-lived topological time-crystalline order on a quantum processor
• Numerical stabilization of entanglement computation in auxiliary field quantum Monte Carlo simulations of interacting many-fermion systems
• Worm-algorithm-type Simulation of Quantum Transverse-Field Ising Model
• Topological phase transitions at finite temperature
• Enhancing Detection of Topological Order by Local Error Correction
• Scaling of the entanglement spectrum in driving critical dynamics
• Quantum correlation entropy
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Correlations, long-range entanglement and dynamics in long-range Kitaev chains
• Space group symmetry fractionalization in a chiral kagome Heisenberg antiferromagnet
• Disorder-driven transition and intermediate phase for $\nu =5/2$ fractional quantum Hall effect
• Entanglement entropy in Jackiw-Teitelboim Gravity
• Conditional quantum one-time pad
• Entanglement Entropy of One-dimensional Gapped Spin Chains
• Frustrated topological symmetry breaking: geometrical frustration and anyon condensation
• Non-Symmetry-Breaking Ground State of the S=1 Heisenberg Model on the Kagome lattice
• Universal sub-leading terms in ground state fidelity
• A Bound on Holographic Entanglement Entropy from Inverse Mean Curvature Flow
• Scaling of entanglement in $2+1$-dimensional scale-invariant field theories
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Symmetry protected topological orders of 1D spin systems with D2+T symmetry
• Entanglement Spectrum as a Probe for the Topology of a Spin-Orbit Coupled Superconductor
• Theory of competing Chern-Simons orders and emergent phase transitions
• Evolution of entanglement entropy at SU($N$) deconfined quantum critical points
• The entanglement and relative entropy of a chiral fermion on the torus
• Construction of the edge states in fractional quantum Hall systems by Jack polynomial
• Calculating Renyi Entropies with Neural Autoregressive Quantum States
• Mutual information and the F-theorem
• Partition Functions of Non-Abelian Quantum Hall States
• Universal Boundary Entropies in Conformal Field Theory: A Quantum Monte Carlo Study
• Intrinsic sign problems in topological quantum field theories
• On Enriching the Levin-Wen model with Symmetry
• On the stability of charges in infinite quantum spin systems
• Zero dimensional area law in a gapless fermion system
• Detecting subsystem symmetry protected topological order via entanglement entropy
• Capacity of Entanglement in Local Operators
• Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
• Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
• Higher Spin Entanglement Entropy
• Quantum critical phase transition between two topologically-ordered phases in the Ising toric code bilayer
• From Classical to Quantum Information Geometry: A Guide for Physicists
• Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
• Refined Holographic Entanglement Entropy for the AdS Solitons and AdS black Holes
• Matrix Product State description of the Halperin States
• Entanglement Hamiltonian of Many-body Dynamics in Strongly-correlated Systems
• Topological and dynamical properties of a generalized cluster model in one dimension
• Symmetry-enriched topological order from partially gauging symmetry-protected topologically ordered states assisted by measurements
• Domain wall topological entanglement entropy
• Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy
• Realizing topologically ordered states on a quantum processor
• Entanglement Entropy in the Calogero-Sutherland Model
• Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value
• Matrix Product State Description and Gaplessness of the Haldane-Rezayi State
• Comments on Defining Entanglement Entropy
• Lectures on entanglement entropy in field theory and holography
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Quantum Entanglement of Locally Excited States in Maxwell Theory
• From Topological to Quantum Entanglement
• Bipartite quantum states and random complex networks
• Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
• A model of chiral spin liquids with Abelian and non-Abelian topological phases
• Mean-field ansatz for topological phases with string tension
• Quantum correlations and entanglement in a Kitaev-type spin chain
• Topological Order and Degenerate Singular Value Spectrum in Two-Dimensional Dimerized Quantum Heisenberg Model
• Area law violations in a supersymmetric model
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Entanglement Entropy of ($2+1$)-Dimensional SU(2) Lattice Gauge Theory on Plaquette Chains
• Symmetry Protected Quantum State Renormalization
• System-environment entanglement phase transitions
• Emergent conformal boundaries from finite-entanglement scaling in matrix product states
• Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
• Quantum robustness and phase transitions of the 3D Toric Code in a field
• Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics
• Topological graph states and quantum error correction codes
• Entanglement Entropy and Mutual Information of Circular Entangling Surfaces in 2 + 1-dimensional Quantum Lifshitz Model
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Bulk entanglement entropy for photons and gravitons in AdS${}_3$
• Charged Rényi Entropies in CFTs with Einstein-Gauss-Bonnet Holographic Duals
• Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• Correlations and entanglement in quantum critical bilayer and necklace XY models
• Chiral entanglement in massive quantum field theories in 1+1 dimensions
• Holographic Relative Entropy in Infinite-dimensional Hilbert Spaces
• Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
• Conditional Decoupling of Quantum Information
• Robustness of Topological Order in the Toric Code with Open Boundaries
• Long-range entanglement near a Kondo-destruction quantum critical point
• Entanglement properties of the time periodic Kitaev Chain
• Unusual Corrections to Scaling and Convergence of Universal Renyi Properties at Quantum Critical Points
• Topological Phases on Non-orientable Surfaces: Twisting by Parity Symmetry
• On the Monogamy of Holographic $n$-partite Information
• Kagome model for a ${\mathbb{Z}}_2$ quantum spin liquid
• Entanglement estimation in tensor network states via sampling
• Universal entanglement spectra in critical spin chains
• Local interactions and non-Abelian quantum loop gases
• Folding approach to topological orders enriched by mirror symmetry
• Seeing topological entanglement through the information convex
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Entanglement Entropy & Anomaly Inflow
• Entanglement in valence-bond-solid states on symmetric graphs
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Machine learning on quantum experimental data toward solving quantum many-body problems
• Capacity of entanglement and distribution of density matrix eigenvalues in gapless systems
• Ising order parameter and topological phase transitions: Toric code in a uniform magnetic field
• A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases
• Entanglement entropy in a periodically driven quantum Ising chain
• Tripartite information of highly entangled states
• Characterizing topological order by the information convex
• Adiabatic topological quantum computing
• Direct calculation of the Entanglement Spectrum in Quantum Monte Carlo with application to \textit{ab initio} Hamiltonians
• On Holographic Entanglement Entropy with Second Order Excitations
• Topological entropy of realistic quantum Hall wave functions
• Detecting Topological Entanglement Entropy in a Lattice of Quantum Harmonic Oscillators
• Entanglement Entropy of Annulus in Three Dimensions
• Particle partition entanglement of bosonic Luttinger liquids
• Ultrafast Entanglement Dynamics in Monitored Quantum Circuits
• Page Curves for General Interacting Systems
• Effective gauge theories of superfluidity with topological order
• Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate
• Holographic Studies of The Generic Massless Cubic Gravities
• Detecting Topological Order with Ribbon Operators
• Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
• Interplay of $SU(2)$, point group and translation symmetry for PEPS: application to a chiral spin liquid
• Understanding quantum entanglement by thermo field dynamics
• Bipartite charge fluctuations in one-dimensional ${\mathbb{Z}}_2$ superconductors and insulators
• Finite-size scaling of the Shannon-Rényi entropy in two-dimensional systems with spontaneously broken continuous symmetry
• Flavor corrections to the entanglement entropy
• State-Dependent Divergences in the Entanglement Entropy
• Gravitational dual of the Rényi twist displacement operator
• Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
• Probing non-equilibrium topological order on a quantum processor
• How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
• Accuracy of topological entanglement entropy on finite cylinders
• Entanglement in tripartitions of topological orders: a diagrammatic approach
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Gravitational back-reaction is magical
• Three-fold way of entanglement dynamics in monitored quantum circuits
• Entanglement entropy for non-coplanar regions in quantum field theory
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Topological order, entanglement, and quantum memory at finite temperature
• An integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulation
• Entanglement with Centers
• Topological phases in small quantum Hall samples
• Ryu-Takayanagi Area as an Entanglement Edge Term
• Mixed State Entanglement and Thermal Phase Transitions
• Quantum Entanglement and Topological Order in Hole-Doped Valence Bond Solid States
• dS${}_2$ Supergravity
• Semionic resonating valence bond states
• Boson condensation and instability in the tensor network representation of string-net states
• Quantum Critical Universality and Singular Corner Entanglement Entropy of Bilayer Heisenberg-Ising model
• Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
• Tensor Network Implementation of Bulk Entanglement Spectrum
• Gravitational decoupling for hairy black holes in asymptotically AdS spacetimes
• Non-stabilizerness in kinetically-constrained Rydberg atom arrays
• Entanglement Spectrum of a Random Partition: Connection with the Localization Transition
• Complete crystalline topological invariants from partial rotations in (2+1)D invertible fermionic states and Hofstadter's butterfly
• Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
• Entanglement entropy of composite Fermi liquid states on the lattice: In support of the Widom formula
• Fibonacci turbulence
• From observations to complexity of quantum states via unsupervised learning
• Entanglement Entropy of Generalized Moore-Read Fractional Quantum Hall State Interfaces
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Quantum discord in a spin system with symmetry breaking
• Tripartite information at long distances
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Emergent gauge symmetries -- making symmetry as well as breaking it
• Efficient Characterizations of Multiphoton States with an Ultra-thin Optical Device
• Quantification of Entanglement and Coherence with Purity Detection
• Multipole and fracton topological order via gauging foliated SPT phases
• Path-integral Monte Carlo method for the local Z_2 Berry phase
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Entanglement and the fermion sign problem in auxiliary field quantum Monte Carlo simulations
• Toy model of boundary states with spurious topological entanglement entropy
• Realistic Area-Law Bound on Entanglement from Exponentially Decaying Correlations
• Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• Quantum phase transition between symmetry enriched topological phases in tensor-network states
• Quasilocal entanglement across the Mott-Hubbard transition
• Coherent Dirac plasmons in topological insulators
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Topological disentangler for the valence-bond-solid chain
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Double-semion topological order from exactly solvable quantum dimer models
• Symmetric higher rank topological phases on generic graphs
• Holographic entropy inequalities and gapped phases of matter
• EPR = ER and Scattering Amplitude as Entanglement Entropy Change
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model
• Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at $m=\frac{2}{3}$ magnetization
• Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
• Verlinde formula from entanglement
• Multipartite entanglement in the Fenna-Matthews-Olson (FMO) pigment-protein complex
• Local convertibility of the ground state of the perturbed Toric code
• Quantum critical behavior of entanglement in lattice bosons with cavity-mediated long-range interactions
• Knots, links, and long-range magic
• How General Is Holography?
• Non-equilibrium quantum Monte Carlo algorithm for stabilizer Renyi entropy in spin systems
• 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
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• Global entanglement in a topological quantum phase transition
• Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
• Condensations in higher categories
• Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
• Soft-Hair-Enhanced Entanglement Beyond Page Curves in a Black-hole Evaporation Qubit Model
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Holographic subregion complexity of boosted black brane and Fisher information
• Entropic Topological Invariants in Three Dimensions
• An Inverse Mass Expansion for Entanglement Entropy in Free Massive Scalar Field Theory
• Progress towards a unified approach to entanglement distribution
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Flat bands and entanglement in the Kitaev ladder
• Entanglement in a second order topological insulator on a square lattice
• Scale vs Conformal invariance from Entanglement Entropy
• Estimating localizable entanglement from witnesses
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• A complete characterization of the spectrum of the Kitaev model on spin ladders
• Entanglement properties of the antiferromagnetic-singlet transition in the Hubbard model on bilayer square lattices
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
• Extracting many-particle entanglement entropy from observables using supervised machine learning
• Entanglement in Weakly Coupled Lattice Gauge Theories
• Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions
• Quasiparticles as Detector of Topological Quantum Phase Transitions
• Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order
• Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
• Engineering topological states and quantum-inspired information processing using classical circuits
• Diagnosing Topological Edge States via Entanglement Monogamy
• Gauging (3+1)-dimensional topological phases: an approach from surface theories
• Massless Lifshitz Field Theory for Arbitrary $z$
• Entanglement Properties of Gauge Theories from Higher-Form Symmetries
• Degenerate groundstates and multiple bifurcations in a two-dimensional q-state quantum Potts model
• Topological Orders, Braiding Statistics, and Mixture of Two Types of Twisted $BF$ Theories in Five Dimensions
• Entanglement Entropy of Free Fermions in Timelike Slices
• Persistent Homology of ${\mathbb{Z}}_2$ Gauge Theories
• Numerical renormalization group method for entanglement negativity at finite temperature
• Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
• Black holes and thermodynamics - The first half century
• Entanglement Measures for Quasi-Two-Dimensional Fractional Quantum Hall States
• From orbifolding conformal field theories to gauging topological phases
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Extracting higher central charge from a single wave function
• Ground state entanglement constrains low-energy excitations
• Observation of entanglement negativity transition of pseudo-random mixed states
• Topological phase transiton of anisotropic XY model with Dzyaloshinskii-Moriya interaction
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Entanglement Entropy of Coupled Conformal Field Theories and Fermi Liquids
• Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
• Linking Entanglement and Discrete Anomaly
• Geodesic string condensation from symmetric tensor gauge theory: a unifying framework of holographic toy models
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• Holographic Geometric Entropy at Finite Temperature from Black Holes in Global Anti de Sitter Spaces
• Entanglement in the Quantum Hall Matrix Model
• Spatial entanglement entropy in the ground state of the Lieb-Liniger model
• Complexity and order in approximate quantum error-correcting codes
• Entanglement Entropy and Topological Order in Resonating Valence-Bond Quantum Spin Liquids
• Topological ${\mathbb{Z}}_2$ RVB quantum spin liquid on the ruby lattice
• Matrix product state representation of quasielectron wave functions
• Quantum Markov Networks and Commuting Hamiltonians
• More on Phase Transition and Renyi Entropy
• Holographic torus entanglement and its RG flow
• Energy density of variational states
• Klein bottle entropy of compactified boson conformal field theory
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Entanglement spectrum and entropy in Floquet topological matter
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Matrix Quantum Mechanics from Qubits
• Fidelity susceptibility of one-dimensional models with twisted boundary conditions
• Renyi entropies for classical stringnet models
• On the Shape Dependence of Entanglement Entropy
• Long-range entanglement and topological excitations
• Sampling reduced density matrix to extract fine levels of entanglement spectrum and restore entanglement Hamiltonian
• Entanglement and level crossings in frustrated ferromagnetic rings
• Bipartite Fluctuations and Topology of Dirac and Weyl Systems
• Multipartite information of free fermions on Hamming graphs
• Negative tripartite mutual information after quantum quenches in integrable systems
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• Distilling topological entropy from single entanglement measures on projected systems
• On weak Hopf symmetry and weak Hopf quantum double model
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Noninvertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra
• Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
• Area Law from Loop Quantum Gravity
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Entanglement dynamics in critical random quantum Ising chain with perturbations
• An Operational Definition of Topological Order
• Block Entanglement Entropy of Ground States with Long-Range Magnetic Order
• Entanglement entropy and edge modes in topological string theory II: The dual gauge theory story
• An Interferometry-Free Protocol for Demonstrating Topological Order
• Measures of entanglement in non-Abelian anyonic systems
• On Holographic Entanglement Density
• Multipartite entanglement of the topologically ordered state in a perturbed toric code
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Functional completeness of planar Rydberg blockade structures
• Holographic Geometries of one-dimensional gapped quantum systems from Tensor Network States
• Different temperature-dependence for the edge and bulk of entanglement Hamiltonian
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Bell's Inequality and Entanglement in Qubits
• Finite Size Scaling of Topological Entanglement Entropy
• Maxwell Theory on a Compact Manifold as a Topologically Ordered System
• Entanglement and Majorana edge states in the Kitaev model
• The Gaffnian and Haffnian: physical relevance of non-unitary CFT for incompressible fractional quantum Hall effect
• Geometric entanglement in integer quantum Hall states
• Entanglement dualities in supersymmetry
• Determining non-Abelian topological order from infinite projected entangled pair states
• Entanglement Entropy of Fermions from Wigner Functions: Excited States and Open Quantum Systems
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• Counterdiabatic route for preparation of state with long-range topological order
• Gauge field entanglement of Kitaev's honeycomb model
• Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids
• Elementary Excitations in Fractional Quantum Hall Effect from Classical Constraints
• Topological Crystalline Bose Insulator in Two Dimensions via Entanglement Spectrum
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Universality in the tripartite information after global quenches
• Multipartite entanglement in two-dimensional chiral topological liquids
• Demonstrating the wormhole mechanism of the entanglement spectrum via a perturbed boundary
• Frustration, Area Law, and Interference in Quantum Spin Models
• Momentum-Space Entanglement in Heisenberg Spin-Half Ladders
• Scaling theory of entanglement entropy in confinements near quantum critical points
• Entanglement entropy, dualities, and deconfinement in gauge theories
• Hartle-Hawking state and its factorization in 3d gravity
• ${\mathbb{Z}}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model
• Sudden quenching in the Kitaev honeycomb model: Study of defect and heat generation
• Entanglement entropy and correlations in loop quantum gravity
• Dynamics of Pseudoentanglement
• Duality transformations and the entanglement entropy of gauge theories
• Holographic spin networks from tensor network states
• One-way deficit and quantum phase transitions in $XY$ model and extended Ising model
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Magic phase transition and non-local complexity in generalized $W$ State
• Thermalization of Topological Entropy after a Quantum Quench
• Momentum Space Entanglement from the Wilsonian Effective Action
• Modified spin-wave theory and spin liquid behavior of cold bosons on an inhomogeneous triangular lattice
• Long-range nonstabilizerness and phases of matter
• Regularizing 3D conformal field theories via anyons on the fuzzy sphere
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Entanglement Entropy at Generalized Rokhsar-Kivelson Points of Quantum Dimer Models
• Mixed-State Entanglement Measures in Topological Order
• Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation
• Area law for random graph states
• Stabilizer Rényi Entropy and Conformal Field Theory
• Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
• On the definition of entanglement entropy in lattice gauge theories
• Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions
• A strong-weak coupling duality between two perturbed quantum many-body systems: CSS codes and Ising-like systems
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Detecting high-dimensional entanglement in cold-atom quantum simulators
• Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
• Information-theoretical formulation of anyonic entanglement
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements
• Interspecies entanglement with impurity atoms in a lattice gas
• Renyi Entropy of Interacting Thermal Bosons in Large $N$ Approximation
• Topological entanglement entropy of interacting disordered zigzag graphene ribbons
• Renormalization group approach to symmetry protected topological phases
• Lattice quantum codes and exotic topological phases of matter
• Randomized measurement protocols for lattice gauge theories
• Stable measurement-induced Floquet enriched topological order
• Entanglement properties of spin models in triangular lattices
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Nonlocal Entanglement of 1D Thermal States Induced by Fermion Exchange Statistics
• Entanglement sum rules in exactly solvable models
• Gapless Topological Order, Gravity, and Black Holes
• Holographic entanglement thermodynamics for higher dimensional charged black hole
• Quantum probing topological phase transitions by non-Markovianity
• Entanglement Area Law for Shallow and Deep Quantum Neural Network States
• Multipartite edge modes and tensor networks
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Jones index, secret sharing and total quantum dimension
• Topological cutoff frequency in a slab waveguide: Penetration length in topological insulator walls
• Nonlocal growth of quantum conditional mutual information under decoherence
• Entanglement Dynamics of the Non-Unitary Holographic Channel
• 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
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Novel Topological Phases and Self-Correcting Memories in Interacting Anyon Systems
• Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
• An entropy perspective on the thermal crossover in a fermionic Hubbard chain
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
• Lattice Laughlin states on the torus from conformal field theory
• Disentangling (2+1)d Topological States of Matter with the Entanglement Negativity
• Bulk-Edge Correspondence in Fractional Quantum Hall States
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Block entropy for Kitaev-type spin chains in a transverse field
• Energy functionals from Conformal Gravity
• Entanglement Entropy in Excited States of the Quantum Lifshitz Model
• Holographic entanglement entropy of the near horizon 1/4 BPS F-D$p$ bound states
• Topological Entanglement Entropy in \(d\)-dimensions for Abelian Higher Gauge Theories
• Instability of Universal Terms in the Entanglement Entropy
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Identifying topological order in the Shastry-Sutherland model via entanglement entropy
• Experimental signatures of 3d fractional topological insulators
• Bounding Entanglement Entropy Using Zeros of Local Correlation Matrices
• Interplay of entanglement structures and stabilizer entropy in spin models
• Anatomy of Fermionic Entanglement and Criticality in Kitaev Spin Liquids
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• On the relation of the entanglement spectrum to the bulk polarization
• Entanglement properties of Floquet Chern insulators
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Statistical interactions and boson-anyon duality in fractional quantum Hall fluids
• Entanglement Signature of Hinge Arcs, Fermi Arcs, and Crystalline Symmetry Protection in Higher-Order Weyl Semimetals
• Topological order and Fractons from Gauging Exponential Symmetries
• Topological entanglement entropy of three-dimensional Kitaev model
• Identifying quantum phases from injectivity of symmetric matrix product states
• Classical and quantum geometric information flows and entanglement of relativistic mechanical systems
• Disentangling topological degeneracy in the entanglement spectrum of one-dimensional symmetry protected topological phases
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• An analog of topological entanglement entropy for mixed states
• Determining the structure of real-space entanglement spectrum from approximate conditional independence
• Topologically Ordered Steady States in Open Quantum Systems
• The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory
• Entanglement on multiple $S^2$ boundaries in Chern-Simons theory
• The Edge of Entanglement: Getting the Boundary Right for Non-Minimally Coupled Scalar Fields
• Hierarchy of Entanglement Renormalization and Long-Range Entangled States
• Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
• CFT correlators from shape deformations in Cubic Curvature Gravity
• Spin Correlations and Topological Entanglement Entropy in a Non-Abelian Spin-1 Spin Liquid
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• Definitions of entanglement entropy of spin systems in the valence-bond basis
• Comparative study of the density matrix embedding theory for the Hubbard models
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Model wavefunctions for interfaces between lattice Laughlin states
• Quantum teleportation using Ising anyons
• Local disorder, topological ground state degeneracy and entanglement entropy, and discrete anyons
• Fractional Quantum Hall Matrix Product States For Interacting Conformal Field Theories
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Entanglement Entropy of Local Operators in Quantum Lifshitz Theory
• Quantum scrambling via accessible tripartite information
• Sensitivity of the entanglement spectrum to boundary conditions as a characterization of the phase transition from delocalization to localization
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Parafermions in Hierarchical Fractional Quantum Hall States
• Area-law entanglement from quantum geometry
• Hybrid Ground-State Quantum Algorithms based on Neural Schrödinger Forging
• Entropy scaling law and the quantum marginal problem
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Correlation functions and quantum measures of descendant states
• Probing multipartite entanglement through persistent homology
• Harnessing symmetry-protected topological order for quantum memories
• Flavored N=4 SYM -- a highly entangled quantum liquid
• Entanglement entropy for integer quantum Hall effect in two and higher dimensions
• Spontaneous Symmetry Breaking and Phase Coexistence in Two-Color Networks
• Topological depletions and sub-leading scalings across topological phase transitions
• An efficient Monte Carlo algorithm for the evaluation of Renyi entanglement entropy of a general quantum dimer model at the R-K point
• Numerical calculations on the relative entanglement entropy in critical spin chains
• Topological insulators with arbitrarily tunable entanglement
• Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics
• Entropic topological invariant for a gapped one-dimensional system
• Abelian and non-Abelian chiral spin liquids in a compact tensor network representation
• Locality of Edge States and Entanglement Spectrum from Strong Subadditivity
• Thermal Area Law in Long-Range Interacting Systems
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Holographic Renyi entropies from hyperbolic black holes with scalar hair
• Many-body entanglement and topology from uncertainties and measurement-induced modes
• Galois Conjugation and Multiboundary Entanglement Entropy
• Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models
• Entanglement spectrum of fermionic bilayer honeycomb lattice: Hofstadter butterfly
• Classical criticality establishes quantum topological order
• Entropy in quantum chromodynamics
• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Sum rule for the pseudo-Rényi entropy
• Uniform continuity bounds for characteristics of multipartite quantum systems
• Topological Entropy of Quantum Hall States in Rotating Bose Gases
• Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
• A Rényi entropy perspective on topological order in classical toric code models
• Path dependent scaling of geometric phase near a quantum multi-critical point
• Entanglement generation in a system of two atomic quantum dots coupled to a pool of interacting bosons
• Topological Minimally Entangled States via Geometric Measure
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Transition of a ${\mathbb{Z}}_3$ topologically ordered phase to trivial and critical phases
• Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
• Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
• Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
• Laughlin topology on fractal lattices without area law entanglement
• Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
• Many-body-localization protection of eigenstate topological order in two dimensions
• Numerical investigations of the extensive entanglement Hamiltonian in quantum spin ladders
• A quantum phase transition from $Z_2\times Z_2$ to $Z_2$ topological order
• Mixed-state Entanglement for AdS Born-Infeld Theory
• Amplified multipartite entanglement witnessed in a quantum critical metal
• Evolving Quantum Circuits
• Topological string entanglement
• Steady-state topological order
• Topological entanglement entropy in the second Landau level
• Parametrized quantum circuit for weight-adjustable quantum loop gas
• Commuting-projector Hamiltonians for chiral topological phases built from parafermions
• Generalized Kramers-Wannier Duality from Bilinear Phase Map
• Irreducible many-body correlations in topologically ordered systems
• Squashed entanglement in one-dimensional quantum matter
• Spin-1 Haldane chains of superconductor-semiconductor hybrids
• Local and nonlocal stochastic control of quantum chaos: Measurement- and control-induced criticality
• Vanishing k-space fidelity and phase diagram's bulk-edge-bulk correspondence
• Delocalization of quantum information in long-range interacting systems
• On the Entanglement Entropy of Maxwell Theory: A Condensed Matter Perspective
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Bulk-Edge correspondence of entanglement spectrum in 2D spin ground states
• Tensor-product representations for string-net condensed states
• The Partition Function Zeroes of Quantum Critical Points
• Edge--Entanglement correspondence for gapped topological phases with symmetry
• Typical entanglement entropy in systems with particle-number conservation
• Numerical simulation of non-abelian anyons
• Entangelment Entropy on Generalized Brillouin Zone
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• A New Paradigm for Topological or Rotational Non-Abelian Gauge Fields from Einstein-Skyrme Holography
• $3d$ One-form Mixed Anomaly and Entanglement Entropy
• Entanglement susceptibility: Area laws and beyond
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• The mixed-state entanglement in holographic p-wave superconductor model
• Theory of topological spin Josephson junctions
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Bosonic Gaussian states from conformal field theory
• Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Generalized Gibbs Ensemble Description of Real Space Entanglement Spectra of (2+1)-dimensional Chiral Topological Systems with $SU(2)$ Symmetry
• Stability of topological purity under random local unitaries
• Lieb-Schultz-Mattis theorem in higher dimensions from approximate magnetic translation symmetry
• Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal
• Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model
• On Quantum Entanglement in Topological Phases on a Torus
• Dynamics and Quantum correlations in Two independently driven Rydberg atoms with distinct laser fields
• Entanglement Entropy of Random Fractional Quantum Hall Systems
• Holographic Chern-Simons Defects
• Measuring topological entanglement entropy using Maxwell relations
• Charge conservation protected topological phases
• Holographic entanglement entropy and entanglement thermodynamics of `black' non-susy D3 brane
• Anomaly inflow, dualities, and quantum simulation of abelian lattice gauge theories induced by measurements
• Universal Spreading of Conditional Mutual Information in Noisy Random Circuits
• Topological entanglement entropy in Gutzwiller projected spin liquids
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Entanglement entropy as a witness of the Aharonov-Bohm effect in QFT
• Generalized mean field description of entanglement in dimerized spin systems
• Entanglement Entropy of Annulus in Holographic Thermalization
• Detection of Topology via Entanglement Oscillations
• Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
• New disordered anyon phase of doped graphene zigzag nanoribbon
• Operational interpretation of the Stabilizer Entropy
• Complex entanglement entropy for complex conformal field theory
• Musings on SVD and pseudo entanglement entropies
• Universal Characterization of Quantum Many-Body States through Local Information
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Non-Hermitian entanglement dip from scaling-induced exceptional criticality
• 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
• Eigenstate entanglement entropy in the integrable spin-$\frac{1}{2}$ XYZ model
• 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
• Fusion rules and shrinking rules of topological orders in five dimensions
• Onset of scrambling as a dynamical transition in tunable-range quantum circuits
• Classification and emergence of quantum spin liquids in chiral Rydberg models
• Quantum phase transitions in the $K$-layer Ising toric code
• Quantum Rényi entropy by optimal thermodynamic integration paths
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Deterministic quantum one-time pad via Fibonacci anyons
• 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
• Holographic Naturalness and Topological Phase Transitions
• Thermal state entanglement entropy on a quantum graph
• Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
• A topological phase buried in a chalcogenide superlattice monitored by a helicity dependent Kerr measurement
• On phase transitions in the Rényi entropies of 2+1-d large-N interacting vector models
• An entropic invariant for 2D gapped quantum phases
• Correspondence between bulk entanglement and boundary excitation spectra in 2d gapped topological phases
• Li doping kagome spin liquid compounds
• Entanglement in 3D Kitaev Spin Liquids
• Entanglement, space-time and the Mayer-Vietoris theorem
• Entropic relations for indistinguishable quantum particles
• Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
• Entanglement Entropy and Duality
• Negativity in the Generalized Valence Bond Solid State
• Bulk Entanglement Spectrum in Gapped Spin Ladders
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect
• Can multipartite entanglement be characterized by two-point connected correlation functions ?
• Learning quantum phases via single-qubit disentanglement
• Inverted c-functions in thermal states
• Entanglement Entropy of Topological Orders with Boundaries
• Universal edge information from wave-function deformation
• Entanglement renormalization of thermofield double states
• Edge mode locality in perturbed symmetry protected topological order
• Holographic entanglement entropy for massive flavours in dS_4
• Multi-boundary entanglement in Chern-Simons theory with finite gauge groups
• Circuit lower bounds for low-energy states of quantum code Hamiltonians
• Direct Calculation of Mutual Information of Distant Regions
• Fractional Quantum Hall Effect Based on Weyl Orbits
• Petz map recovery for long-range entangled quantum many-body states
• String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems
• Exact results for the entanglement in 1D Hubbard models with spatial constraints
• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Experimental Preparation of Topologically Ordered States via Adiabatic Evolution
• Many-body systems with spurious modular commutators
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits
• Extracting Universal Corner Entanglement Entropy during the Quantum Monte Carlo Simulation
• Robust Topological Degeneracy of Classical Theories
• Controlling measurement-induced phase transitions with tunable detector coupling
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Entanglement signatures of phase transition in higher-derivative quantum field theories
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Analytic Expression for the Entanglement Entropy of a 2D Topological Superconductor
• A new signature of quantum phase transitions from the numerical range
• Bulk and boundary entanglement transitions in the projective gauge-Higgs model
• An operational definition of quantum information scrambling
• Finite size effects in the Z_2 spin liquid on the kagome lattice
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Disorder induced topological phase transition in a driven Majorana chain
• Unveiling UV/IR Mixing via Symmetry Defects: A View from Topological Entanglement Entropy
• Susceptibility indicator for chiral topological orders emergent from correlated fermions
• Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
• Anyon Quantum Dimensions from an Arbitrary Ground State Wave Function
• Chiral spin liquid in a ${\mathbb{Z}}_3$ Kitaev model
• Symmetry classification of typical quantum entanglement
• Variational Tensor Network Operator
• Foliated order parameter in a fracton phase transition
• Playing nonlocal games with phases of quantum matter
• Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
• Topological Insulating Phases of Non-Abelian Anyonic Chains
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• Topological entanglement and hyperbolic volume
• Entanglement of Free Fermions and Bosons at Finite Temperature
• Hagedorn transition and topological entanglement entropy
• A note on electromagnetic edge modes
• Topological quantum phase transitions in a Majorana chain with spatial modulation
• An efficient perturbation theory of density matrix renormalization group
• Sine-Gordon Theory : Entanglement entropy and holography
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• Topological self-organization of strongly interacting particles
• Volume and Topological Invariants of Quantum Many-body Systems
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• On the particle entanglement spectrum of the Laughlin states
• Direct Detection of Axion-Like Particles in Bismuth-Based Topological Insulators
• 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
• Entanglement entropy for the valence bond solid phases of two-dimensional dimerized Heisenberg antiferromagnets
• Higher-form symmetries and $d-wave$ superconductors from doped Mott insulators
• Holographic information theoretic quantities for Lifshitz black hole
• General interaction quenches in a Luttinger liquid
• The Future of the Correlated Electron Problem
• Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
• Boundary topological entanglement entropy in two and three dimensions
• Detecting transition between Abelian and non-Abelian topological orders through symmetric tensor networks
• Intersublattice entanglement entropy as an extensive property in antiferromagnets
• Novel quantum phases on graphs using abelian gauge theory
• Genuine tripartite entanglement as a probe of quantum phase transitions in a spin-1 Heisenberg chain with single-ion anisotropy
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• Block Spin Density Matrix of the Inhomogeneous AKLT Model
• Kolmogorov complexity as intrinsic entropy of a pure state: Perspective from entanglement in free fermion systems
• Entanglement entropy of XX spin $1/2$ chain with random partitioning at arbitrary temperature
• Detecting topological order from modular transformations of ground states on the torus
• The entanglement entropy of the quantum Hall edge and its geometric contribution
• Correlations in Quantum Spin Systems from the Boundary Effect
• Information scrambling and entanglement in quantum approximate optimization algorithm circuits
• Composite Quantum Phases in Non-Hermitian Systems
• Finite-Entanglement Scaling of 2D Metals
• Tip of the Quantum Entropy Cone
• Bicolor loop models and their long range entanglement
• Position dependence of Nielsen complexity for the Thermofield double state
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
• Entanglement Fractalization
• Universal Renyi mutual information in classical systems: the case of kagome ice
• Measurement-only dynamical phase transition of topological and boundary order in toric code and gauge-Higgs models
• Chiral Virasoro algebra from a single wavefunction
• Conformal geometry from entanglement
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Learning topological states from randomized measurements using variational tensor network tomography
• Scattering Entanglement Entropy and Its Implications for Electroweak Phase Transitions
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
• Classical and quantum spin liquids
• Characterization of helical states in semiconductor quantum wells using quantum information quantities
• Spin-wave study of entanglement and Rényi entropy for coplanar and collinear magnetic orders in two-dimensional quantum Heisenberg antiferromagnets
• Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids
• Entanglement entropy from SU(2) Chern-Simons theory and symmetric webs
• Chern-Simons theory, exactly solvable models and free fermions at finite temperature
• Renormalized Entanglement Entropy on Cylinder
• Non-Abelian $\nu =1/2$ quantum Hall state in ${\Gamma }_8$ Valence Band Hole Liquid
• Topological Order in Densely Packed Anisotropic Colloids
• Fidelity, Rosen-Zener Dynamics, Entropy and Decoherence in one dimensional hard-core bosonic systems
• On the topological and crosscap entropies in non-oriented RCFTs
• Characterizing Topological Order in Superconducting Systems
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• Duality and topology
• Aspects of quantum gravity
• String amplitudes and mutual information in confining backgrounds: the partonic behavior
• $Z_3$ topological order in the quantum dimer-pentamer model
• Properties of Laughlin states on fractal lattices
• Entanglement Entropy, Chemical Potential, Current Source, and Wilson Loop
• Robustness of Topological Order in Semiconductor-Superconductor Nanowires in the Coulomb Blockade Regime
• Exact diagonalization using hierarchical wave functions and calculation of topological entanglement entropy
• Measurement-Driven Transitions between Area Law Phases
• Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices
• Modular extension of topological orders from congruence representations
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D
• Entanglement entropy between virtual and real excitations in quantum electrodynamics
• Detecting many-body entanglements in noninteracting ultracold atomic fermi gases
• Thermoelectric Hall conductivity of the fractional quantum Hall systems on a disk
• Towards unambiguous calculation of the topological entropy for mixed states
• Convexity of the entanglement energy of SU($2N$)-symmetric fermions with attractive interactions
• Quantum Quench dynamics in XY spin chain with ferromagnetic and antiferromagnetic interactions
• Fractional-quantum-Hall-effect (FQHE) in 1D Hubbard models
• Learning of error statistics for the detection of quantum phases
• Generalized Modulated Symmetries in ${\mathbb{Z}}_2$ Topological Ordered Phases
• Independent e- and m-anyon confinement in the parallel field toric code on non-square lattices
• Rényi entanglement entropy after a quantum quench starting from insulating states in a free boson system
• Entanglement, subsystem particle numbers and topology in free fermion systems
• A New Framework for Quantum Phases in Open Systems: Steady State of Imaginary-Time Lindbladian Evolution
• Self-organization in many-body systems with short-range interactions: clustering, correlations and topology
• Evolution of entanglement entropy in strongly correlated bosons in an optical lattice
• Measuring multipartite quantum correlations by thermodynamic work extraction
• Properties of gapped systems in AdS/BCFT
• Geometric entanglement in integer quantum Hall states with boundaries
• Multipartite maximally entangled states in symmetric scenarios
• Chiral Spin Liquid and Quantum Phase Transition in the Triangular Lattice Hofstadter-Hubbard Model
• Entanglement and area law with a fractal boundary in a topologically ordered phase
• Finite-temperature properties of string-net models
• Geometric entanglement in the Laughlin wave function
• Time dependent Entanglement Entropy in dissipative conformal theories: TFD approach
• Crystalline invariants of fractional Chern insulators
• Entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension
• Entanglement entropy of higher rank topological phases
• Relaxation of the entanglement spectrum in quench dynamics of topological systems
• Topological Entropy and Renormalization Group flow in 3-dimensional spherical spaces
• Spin-Energy Entanglement of a Time-Focused Neutron
• Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
• Halperin $(m^{\prime },m,n)$ fractional quantum Hall effect in topological flat bands
• Topologically protected negative entanglement
• Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
• Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
• Kosterlitz-Thouless phase and $Z_d$ topological quantum phase
• Partial fillings of the bosonic $E_8$ quantum Hall state
• Simulation of the Ring-exchange Models with Projected Entangled Pair States
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Single-shot quantum measurements sketch quantum many-body states
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Extractable entanglement from a Euclidean hourglass
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality
• Bounded light cone and robust topological order out of equilibrium
• Real-space entanglement spectra of projected fractional quantum Hall states using Monte Carlo methods
• Loop models for CFTs
• Remote detectability from entanglement bootstrap I: Kirby's torus trick
• Partially topological phase in a quantum loop gas model with tension and pressure
• Topological Network Entanglement as Order Parameter for the Emergence of Geometry
• Topological correlation: anyonic states cannot be determined by local operations and classical communication
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Unconventional quantum Hall effect in Floquet topological insulators
• Dynamics and Geometry of Entanglement in Many-Body Quantum Systems
• The length scale measurements of the Fractional quantum Hall state on cylinder
• Quantifying High-Order Interdependencies in Entangled Quantum States
• Essential difference between 2D and 3D from the perspective of real-space renormalization group
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies
• Subfactors and quantum information theory
• Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
• Geometric properties of loop condensed phases on the square lattice
• Inverse Hamiltonian design of highly-entangled quantum systems
• Holographic duality and applications
• Universal properties of the FQH state from the topological entanglement entropy and disorder effects
• Entanglement spectra of superconductivity ground states on the honeycomb lattice
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• Topological Rényi and Entanglement Entropy for a 2d q-deformed $U(N)$ Yang-Mills theory and its Chern-Simons dual
• 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
• Separable ellipsoids around multipartite states
• 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
• On symmetry-resolved generalized entropies
• De Sitter Horizon Edge Partition Functions
• Multipartite Entanglement Structure of Fibered Link States
• Entanglement in Typical States of Chern-Simons Theory
• Topological order in symmetric blockade structures
• Quantum circuit complexity and unsupervised machine learning of topological order
• Notes on Entanglement Entropy in String Theory
• Projective approach to the entanglement entropy of 1-$d$ fermions
• A Practical Introduction to Tensor Network Renormalization with TNRKit.jl
• Topological and Error-Correcting Properties for Symmetry-Protected Topological Order
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Shape dependence of mutual information in the OPE limit: linear responses
• Parity-dependent phase diagrams in spin-cluster two-leg ladders
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Interaction-driven plateau transition between integer and fractional Chern Insulators
• Numerical identification and gapped boundaries of abelian fermionic topological order
• Topological Phase Transitions Induced by Varying Topology and Boundaries in the Toric Code
• Entanglement Entropy from TFD Entropy Operator
• Quantum Adiabatic Evolution for Global Optimization in Big Data
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Renormalisation of Quantum Cellular Automata
• 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
• Pseudoentanglement from tensor networks
• Bell's Inequality, Generalized Concurrence and Entanglement in Qubits
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Topological Order in Neural Wavefunctions
• Lattice QCD study of color correlations between quarks in static multiquark systems
• Rényi entropies for one-dimensional quantum systems with mixed boundary conditions
• Aspects of Entanglement Entropy in Algebraic Quantum Field Theory
• Markov Gap and Bound Entanglement in Haar Random State
• Spectral signatures of nonstabilizerness and criticality in infinite matrix product states
• Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
• Chiral Bosonic Topological Insulator on the Honeycomb Lattice with Anisotropic Interactions
• Topological Entanglement Entropy, Ground State Degeneracy and Holography
• ${\mathbb{Z}}_N$ generalizations of three-dimensional stabilizer codes
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• Instantons and topological order in two-leg electron ladders: A universality class
• Inspecting non-perturbative contributions to the Entanglement Entropy via wavefunctions
• Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
• Entanglement entropy in lattices with non-abelian gauge groups
• Sequential Generation of Two-dimensional Super-area-law States with Local Parent Hamiltonian
• Deviation from maximal entanglement for mid-spectrum eigenstates of local Hamiltonians
• Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states
• Worldline deconfinement and emergent long-range interaction in the entanglement Hamiltonian and in the entanglement spectrum
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
• Superactivation of Bell nonlocality in pure anyonic states
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS
• Entanglement Entropy and Quantum Phase Transition in the $O(N)$ $\sigma$-model
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench
• Hall-on-Toric: Descendant Laughlin state in the chiral ${\mathbb{Z}}_p$ toric code
• Immersed figure-8 annuli and anyons
• Build your own tensor network library: DMRjulia I. Basic library for the density matrix renormalization group
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• Snapshot spectra in the world-line quantum Monte Carlo for one-dimensional quantum spin systems
• Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian
• Measurement-Induced Entanglement in Conformal Field Theory
• Entropy scaling law and the quantum marginal problem: simplification and generalization
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
• Magnetic Susceptibility of Dirac Fermions, Bi-Sb Alloys, Interacting Bloch Fermions, Dilute Nonmagnetic Alloys, and Kondo Alloys
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• Fractional quantum Hall interface induced by geometric singularity
• Geometrical picture of the electron-electron correlation at the large-D limit
• Linking infinite bond-dimension matrix product states with frustration-free Hamiltonians
• Dirac plasmon polaritons and magnetic modes in topological-insulator nanoparticles
• Information Theoretic Inequalities as Bounds in Superconformal Field Theory
• Higher Hall conductivity from a single wave function: Obstructions to symmetry-preserving gapped edge of (2+1)D topological order
• Fractal decompositions and tensor network representations of Bethe wavefunctions
• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Entanglement studies of resonating valence bonds on the frustrated square lattice
• Observable-enriched entanglement
• Unsupervised Learning of Symmetry Protected Topological Phase Transitions
• Loschmidt echo and Momentum Distribution in a Kitaev Spin Chain
• Disentangling quantum neural networks for unified estimation of quantum entropies and distance measures
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
• Entanglement of Spatial Regions vs. Entanglement of Particles
• Probing nonlocal correlations in magnetic rare-earth clusters
• Simulating Topological Order on Quantum Processors
• Topologically ordered states in infinite quantum spin systems
• Extended string-net models with all anyons at finite temperature
• Non-relativistic entanglement entropy from Horava gravity
• Absence of gapless Majorana edge modes in few-leg bosonic flux ladders
• (2+1)D topological phases with RT symmetry: many-body invariant, classification, and higher order edge modes
• Entanglement and private information in many-body thermal states
• Towards Entanglement Entropy of Random Large-N Theories
• Effects of Non-Conformal Boundary on Entanglement Entropy
• The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems
• Topological order on the Bloch sphere
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Exact Mappings in Condensed Matter Physics
• 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
• Disorder-protected topological entropy after a quantum quench
• Entanglement Entropy in Many-Fermion System
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
• On the origin of Phase Transitions in the absence of Symmetry-Breaking
• Higher-curvature Corrections to Holographic Entanglement with Momentum Dissipation
• Braiding properties of worldline configurations in hardcore lattice bosons
• Engineering entanglement geometry via spacetime-modulated measurements
• Confinement and Flux Attachment
• Probing the randomness of ergodic states: extreme-value statistics in the ergodic and many-body-localized phases
• Homological Stabilizer Codes
• Quantum entanglement in the t-J chain: From charge-spin separation to recombination
• Entanglement signatures of a percolating quantum system
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
• Robustness of a state with Ising topological order against local projective measurements
• Topological entanglement entropy in bilayer quantum Hall systems
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• On Entanglement Entropy of Maxwell fields in 3+1 dimensions
• Rényi entropy of the permutationally invariant part of the ground state across a quantum phase transition
• Quantum entropy thermalization
• Knots and entanglement
• Universal entanglement correction induced by relevant deformations at the quantum critical point
• Active Quantum Distillation
• Tensor network states for the description of quantum many-body systems
• Network topology transition at criticality
• Topological Entanglement Entropy and Braids in Chern-Simons Theory
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Localization and entanglement characterization of edge states in HgTe quantum wells in a finite strip geometry
• Geometric additivity of modular commutator for multipartite entanglement
• Classification of qubit cellular automata on hypercubic lattices
• Topological entanglement entropy of the BTZ black hole
• Cooperation and dependencies in multipartite systems
• Entanglement scaling and criticality of infinite-size quantum many-body systems in continuous space addressed by a tensor network approach
• Entanglement and Excitations in Gauge/Gravity Duality
• Measuring the Unique Identifiers of Topological Order Based on Boundary-Bulk Duality and Anyon Condensation
• Topological entanglement and number theory
• Superselection Rules, Bosonization Duality in 1+1 Dimensions and Momentum-Space Entanglement
• LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime
• Measuring entanglement without local addressing in quantum many-body simulators via spiral quantum state tomography
• Rényi entropy of single-character CFTs on the torus
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities
• Topological entanglement entropy meets holographic entropy inequalities
• Probing non-Gaussian correlations through entanglement generation in a many-body quantum system
• A graph-based approach to entanglement entropy of quantum error correcting codes
• Ground state many-body quantum entanglement of frustrated transverse field models on square lattice
• Detection of 2D SPT Order with Partial Symmetries
• The topological order of the space
• Entanglement Entropy Evolution under Double-trace Deformation
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
• Optimal bound on long-range distillable entanglement
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Partons from stabilizer codes
• Bell sampling in Quantum Monte Carlo simulations
• Fibonacci sequence and its generalizations in doped quantum spin ladders
• Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions
• Quantum Resource Theories of Anyonic Entanglement
• Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• 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
• 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
• 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
• SU(m) non-Abelian anyons in the Jain hierarchy of quantum Hall states
• Analytically Continuing the Randomized Measurement Toolbox
• Holographic duality between bulk topological order and boundary mixed-state order
• Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models
• Energetical self-organization of a few strongly interacting particles
• Optimizing the dynamical preparation of quantum spin lakes on the ruby lattice
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model
• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
• The toric code under antiferromagnetic isotropic Heisenberg interactions
• New insights on mutual information in the island approach to the Page curve
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Entanglement Entropy of Compactified Branes and Phase Transition
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Multipartite Entanglement in Crossing the Quantum Critical Point
• Mutual information in interacting spin systems
• Ghost Particles, Entanglement of Historical Epochs and Time Machine
• SU(N)1 Chern-Simons theory, the Clifford group, and Entropy Cone
• Counting paths with Schur transitions
• Power-law holographic dark energy and cosmology
• Unveiling topological order through multipartite entanglement
• QFT Entanglement Entropy, 2D Fermion and Gauge Fields
• Topological Properties and Characterizations
• Phase Space Entanglement Spectrum