Notes on Some Entanglement Properties of Quantum Field Theory

Abstract

These are notes on some entanglement properties of quantum field theory, aiming to make accessible a variety of ideas that are known in the literature. The main goal is to explain how to deal with entanglement when -- as in quantum field theory -- it is a property of the algebra of observables and not just of the states.

78 pp, minor corrections in this version

References in corpus (6)

• Entanglement entropy: holography and renormalization group
• Relative entropy and the Bekenstein bound
• On the Reeh-Schlieder Property in Curved Spacetime
• Comment on the Bekenstein bound
• Quantum information measures for restricted sets of observables
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Cited by in corpus (344)

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• Large N algebras and generalized entropy
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Quantum Simulating Nature's Fundamental Fields
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• A Mini-Introduction To Information Theory
• Entanglement in indistinguishable particle systems
• Bridging entanglement dynamics and chaos in semiclassical systems
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Generalized entropy for general subregions in quantum gravity
• Entanglement entropy and superselection sectors I. Global symmetries
• A modular toolkit for bulk reconstruction
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Notes on the type classification of von Neumann algebras
• Entanglement Hamiltonians: from field theory, to lattice models and experiments
• Dynamical Entanglement
• Entropic order parameters for the phases of QFT
• From time-reversal symmetry to quantum Bayes' rules
• The holographic entropy arrangement
• Relativistic causality in particle detector models: Faster-than-light signalling and "Impossible measurements"
• Extended actions, dynamics of edge modes, and entanglement entropy
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Constraining Quantum Fields using Modular Theory
• Holographic Order from Modular Chaos
• Bulk locality and cooperative flows
• Reflected entropy, symmetries and free fermions
• Entropy distribution of localised states
• Crossed product algebras and generalized entropy for subregions
• Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories
• Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
• Diffeomorphism invariance and the black hole information paradox
• Modular Hamiltonians for the massless Dirac field in the presence of a boundary
• Some Information Theoretic Aspects of De-Sitter Holography
• Modular Flow of Excited States
• Entanglement guided search for parent Hamiltonians
• Entanglement Hamiltonian of quantum critical chains and conformal field theories
• On operator growth and emergent Poincaré symmetries
• Gravitational waves affect vacuum entanglement
• Ignorance is Cheap: From Black Hole Entropy To Energy-Minimizing States In QFT
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Generalized Black Hole Entropy is von Neumann Entropy
• Holographic Entropy Relations Repackaged
• Distinguishing Random and Black Hole Microstates
• Quantum imprints of gravitational shockwaves
• Reflected entropy for free scalars
• The information in a wave
• Entanglement entropy from entanglement contour: higher dimensions
• Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains
• Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands
• Gravity Dual of Connes Cocycle Flow
• From entanglement generated dynamics to the gravitational anomaly and chiral central charge
• Thermodynamics from relative entropy
• Constructible reality condition of pseudo entropy via pseudo-Hermiticity
• Gravity from entropy
• Comments on black hole interiors and modular inclusions
• Von Neumann Entropy in QFT
• Harvesting entanglement from the gravitational vacuum
• Testing ER=EPR
• Generalizing the entanglement entropy of singular regions in conformal field theories
• Towards Spacetime Entanglement Entropy for Interacting Theories
• On the interior geometry of a typical black hole microstate
• Information loss, mixing and emergent type III${}_1$ factors
• Fully Relativistic Entanglement Harvesting
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Entanglement Spheres and a UV-IR connection in Effective Field Theories
• Modular Commutators in Conformal Field Theory
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
• Measuring von Neumann entanglement entropies without wave functions
• Inversion of statistics and thermalization in the Unruh effect
• Lensing of Vacuum Entanglement near Schwarzschild Black Holes
• Covariant homogeneous nets of standard subspaces
• Generalizing event shapes: In search of lost collider time
• Entanglement Entropy and Subregion Complexity in Thermal Perturbations around Pure-AdS Spacetime
• Quantum Null Geometry and Gravity
• Bulk Locality in AdS/CFT Correspondence
• Stringy ER=EPR
• Does inflation squeeze cosmological perturbations?
• Quantum entanglement in cosmology
• Second law of thermodynamics for relativistic fluids formulated with relative entropy
• The holographic entropy cone from marginal independence
• Modular Hamiltonian for (holographic) excited states
• Real-space RG, error correction and Petz map
• Entanglement of magnon excitations in spin chains
• Constraining braneworlds with entanglement entropy
• Entanglement structure of quantum fields through local probes
• The holographic map as a conditional expectation
• Comments on Defining Entanglement Entropy
• Lectures on entanglement entropy in field theory and holography
• Entanglement branes, modular flow, and extended topological quantum field theory
• Target Space Entanglement Entropy
• Chiral entanglement in massive quantum field theories in 1+1 dimensions
• Holographic Relative Entropy in Infinite-dimensional Hilbert Spaces
• Entanglement Wedge Reconstruction of Infinite-dimensional von Neumann Algebras using Tensor Networks
• Maximal violation of the Bell-Clauser-Horne-Shimony-Holt inequality via bumpified Haar wavelets
• Black Hole Scattering and Partition Functions
• Weyl operators, Tomita-Takesaki theory, and Bell-Clauser-Horne-Shimony-Holt inequality violations
• An intuitive construction of modular flow
• Holography of Information in AdS/CFT
• Comments on a state-operator correspondence for the torus
• Quantum State Reduction: Generalized Bipartitions from Algebras of Observables
• Symmetry-resolved modular correlation functions in free fermionic theories
• Bulk reconstruction using timelike entanglement in (A)dS
• News vs Information
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
• Quantum BMS transformations in conformally flat space-times and holography
• Generalized Unruh effect: A potential resolution to the black hole information paradox
• Entanglement Hamiltonian in the non-Hermitian SSH model
• How measuring a quantum field affects entanglement harvesting
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
• Time development of conformal field theories associated with $L_1$ and $L_{-1}$ operators
• Massless Lifshitz Field Theory for Arbitrary $z$
• Seeing the Entanglement Wedge
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Local Poincaré Algebra from Quantum Chaos
• Shape dependence of renormalized holographic entanglement entropy
• A Renyi Quantum Null Energy Condition: Proof for Free Field Theories
• Matrix Product States: Entanglement, symmetries, and state transformations
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Entwinement as a possible alternative to complexity
• Positivity and causal localizability in higher spin quantum field theories
• Geometric information flows and G. Perelman entropy for relativistic classical and quantum mechanical systems
• Beyond islands: A free probabilistic approach
• Resolving modular flow: a toolkit for free fermions
• Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions
• Semifinite von Neumann algebras in gauge theory and gravity
• Entanglement Hamiltonians and the quasiparticle picture
• Entropy for spherically symmetric, dynamical black holes from the relative entropy between coherent states of a scalar quantum field
• Noninvertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra
• Entanglement of Purification and Projective Measurement in CFT
• Entanglement Entropy, Relative Entropy and Duality
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• Entanglement and confinement in lattice gauge theory tensor networks
• Global aspects of conformal symmetry and the ANEC in dS and AdS
• Corner symmetry and quantum geometry
• Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory
• Entanglement Entropy in Scalar Quantum Electrodynamics
• Duality transformations and the entanglement entropy of gauge theories
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Scattering strings off quantum extremal surfaces
• Gravitational entropy is observer-dependent
• Aspects of N-partite information in conformal field theories
• Triggering the QCD phase transition through the Unruh effect: chiral symmetry restoration for uniformly accelerated observers
• Revisiting the Okubo-Marshak argument
• Monotonic multi-state quantum $f$-divergences
• Achronal averaged null energy condition for extremal horizons and (A)dS
• Entanglement Structures in Quantum Field Theories II: Distortions of Vacuum Correlations Through the Lens of Local Observers
• Modular Hamiltonian for de Sitter diamonds
• Non-abelian symmetry-resolved entanglement entropy
• Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter Space
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• Large-$d$ phase transitions in holographic mutual information
• Multivariate Trace Inequalities, p-Fidelity, and Universal Recovery Beyond Tracial Settings
• Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
• Relative entropic uncertainty relation for scalar quantum fields
• Classical and quantum geometric information flows and entanglement of relativistic mechanical systems
• Particle detector models from path integrals of localized quantum fields
• The holographic dual of Rényi relative entropy
• Exactly solvable non-unitary time evolution in quantum critical systems I: Effect of complex spacetime metrics
• Holographic Entanglement Entropy, Subregion Complexity and Fisher Information metric of `black' Non-SUSY D3 Brane
• Universal logarithmic correction to Rényi (Shannon) entropy in generic systems of critical quadratic fermions
• Finite temperature negativity Hamiltonians of the massless Dirac fermion
• Snowmass White Paper: The Quest to Define QFT
• Entanglement in interacting quenched two-body coupled oscillator system
• Modular Hamiltonians and large diffeomorphisms in $Ad{S}_3$
• Numerical investigations of the extensive entanglement Hamiltonian in quantum spin ladders
• Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains
• Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy
• Generalised second law beyond the semiclassical regime
• Quantum hypothesis testing in many-body systems
• The Reflected Entanglement Spectrum for Free Fermions
• Operational Quantum Mereology and Minimal Scrambling
• Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Pseudo entropy and pseudo-Hermiticity in quantum field theories
• Entanglement harvesting: state dependence and covariance
• Entanglement in interacting Majorana chains and transitions of von Neumann algebras
• Black holes and quantum entanglement
• Relative Entropy in de Sitter is a Noether Charge
• Are quantum corrections on horizon scale physically motivated?
• Bayesian inversion and the Tomita-Takesaki modular group
• Quantum entropy couples matter with geometry
• The Bisognano-Wichmann property for asymptotically complete massless QFT
• Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
• Banks-Zaks Cosmology, Inflation, and the Big Bang Singularity
• A functorial characterization of von Neumann entropy
• Some Results On Relative Entropy in Quantum Field Theory
• Holographic Complexity for disentangled states
• Renyi divergences from Euclidean quenches
• Entropy-area law and temperature of de Sitter horizons from modular theory
• Additivity, Haag duality, and non-invertible symmetries
• What can we learn about islands and state paradox from quantum information theory?
• Entanglement and non-locality in quantum protocols with identical particles
• Emergent entropy of exotic oscillators and squeezing in three-wave mixing process
• Relative entropy of an interval for a massless boson at finite temperature
• Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory
• Asymptotic states and $S$-matrix operator in de Sitter ambient space formalism
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Can boundary configuration be tuned to optimize directional quantum steering harvesting?
• Single-shot holographic compression from the area law
• Nonperturbative gravity corrections to bulk reconstruction
• Wick rotation of the time variables for two-point functions on analytic backgrounds
• A Modular Operator Approach to Entanglement of Causally Closed Regions
• Modular conjugation for multicomponent regions
• Rényi mutual information in quantum field theory, tensor networks, and gravity
• Entanglement entropy and non-local duality: quantum channels and quantum algebras
• Proof of Renyi QNEC for free fermions
• Von Neumann algebra description of inflationary cosmology
• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• Generalized Entanglement, Charges and Intertwiners
• Berry Curvature and Riemann Curvature in Kinematic Space with Spherical Entangling Surface
• The quantum relative entropy of the Schwarzschild black-hole and the area law
• Harvesting Fermionic Field Entanglement in Schwarzschild Spacetime
• Modular zero modes and sewing the states of QFT
• Spectrum of Modular Hamiltonian in the Vacuum and Excited States
• The Unruh-DeWitt model and its joint interacting Hilbert space
• Brane dynamics from the first law of entanglement
• One-loop partition function of gravity with leaky boundary conditions
• Recovering information in an asymptotically flat spacetime in quantum gravity
• From Quantum Relative Entropy to the Semiclassical Einstein Equations
• Large and Small Corrections to the JLMS Formula from Replica Wormholes
• Revisiting quantum field theory in Rindler spacetime with superselection rules
• Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
• A new operator extension of strong subadditivity of quantum entropy
• Quantum Solitons in any Dimension: Derrick's Theorem v. AQFT
• Comment on "Spin correlations in elastic $e^{+}{e}^{-}$ scattering in QED"
• Evolution of strictly localized states in non-interacting quantum field theories with background fields
• Test of Transitivity in Quantum Field theory using Rindler spacetime
• Defining entanglement without tensor factoring: a Euclidean hourglass prescription
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
• Operational symmetries of entangled states
• The area operator and fixed area states in conformal field theories
• Entanglement harvesting and curvature of entanglement: A modular operator approach
• Correlation function of modular Hamiltonians
• Entanglement for Quantum Hall states and a Generalized Chern-Simons Form
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• Tomita-Takesaki theory and quantum concurrence
• Using Weyl operators to study Mermin's inequalities in Quantum Field Theory
• On the Nonequilibrium Dynamics of Gravitational Algebras
• Modular Operators and Entanglement in Supersymmetric Quantum Mechanics
• Exact mapping from the $(3+1)$-dimensional Skyrme model to the $(1+1)$-dimensional sine-Gordon theory and some applications
• On separable states in relativistic quantum field theory
• Entanglement entropy of a Rarita-Schwinger field in a sphere
• Modular Hamiltonian for fermions of small mass
• Localization in Quantum Field Theory
• Partial-transpose-guided entanglement classes and minimum noise filtering in many-body Gaussian quantum systems
• Relational bulk reconstruction from modular flow
• Light-ray moments as endpoint contributions to modular Hamiltonians
• Quantum Chaos, Randomness and Universal Scaling of Entanglement in Various Krylov Spaces
• The full electroweak interaction: an autonomous account
• Entanglement Entropy in Closed String Theory
• Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators
• Localized thermal states and negative energy
• A time-frequency approach to relativistic correlations in quantum field theory
• Entanglement and correlations between local observables in de Sitter spacetime
• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• On Relative Entropy and Global Index
• Notions of Fermionic Entropies of a Causal Fermion System
• HEE and HSC for flavors: perturbative structure in open string geometries
• Petz-Rényi relative entropy in QFT from modular theory
• A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory
• The Ryu-Takayanagi Formula from Quantum Error Correction: An Algebraic Treatment of the Boundary CFT
• Detecting spacelike vacuum entanglement at all distances and promoting negativity to a necessary and sufficient entanglement measure in many-body regimes
• Entanglement entropy evolution during gravitational collapse
• Revisiting the equality conditions of the data processing inequality for the sandwiched Rényi divergence
• Tensor Field Theories: Renormalization and Random Geometry
• Holographic Rényi relative divergence in JT gravity
• Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT${}_2$
• A monogamy paradox in empty flat space
• Shrinking of Operators in Quantum Error Correction and AdS/CFT
• Inflation from entropy
• Entanglement Entropy and Thermodynamics of Dynamical Black Holes
• Shannon entropy in quasiparticle states of quantum chains
• Elliptic mirror of the quantum Hall effect
• Real-time observables in de Sitter thermodynamics
• Perturbative expansions of Rényi relative divergences and holography
• Extractable entanglement from a Euclidean hourglass
• Relative Entropy and Mutual Information in Gaussian Statistical Field Theory
• Black hole information and Reeh-Schlieder theorem
• Entanglement Entropy from TFD Entropy Operator
• Realize Emergent Gravity to Generic Situations
• Memory Effects and Entanglement Dynamics of Finite time Acceleration
• Reduced density matrix of nonlocal identical particles
• Gravitational algebras and applications to nonequilibrium physics
• Using thermodynamics to learn gravitational wave physics
• Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Selective Thermalization, Chiral Excitations, and a Case of Quantum Hair in the Presence of Event Horizons
• Linearization (in)stabilities and crossed products
• Total and Symmetry resolved Entanglement spectra in some Fermionic CFTs from the BCFT approach
• Revisiting holographic codes with fractal-like boundary erasures
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian
• Localizing quantum fields with time-dependent potentials
• Causal shadow and non-local modular flow: from degeneracy to perturbative genesis by correlation
• Quantum entanglement between partons in a strongly coupled quantum field theory
• On Entropy for general quantum systems
• Entanglement content of kink excitations
• Quantum Entanglement and Spectral Form Factor
• Beyond holography: the entropic quantum gravity foundations of image processing
• Unification of Stochastic and Quantum Thermodynamics in Scalar Field Theory via a Model with Brownian Thermostat
• Emerging entanglement on network histories
• A study of the spin 1 Unruh-De Witt detectors
• On Infinite Tensor Networks, Complementary Recovery and Type II Factors
• The fermionic massless modular Hamiltonian
• Entanglement Entropy across the Lattice-Continuum Correspondence
• Harvesting stabilizer entropy and non-locality from a quantum field
• Curved Corner Contribution to the Entanglement Entropy in an Anisotropic Spacetime
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Relevant perturbation of entanglement entropy of singular surfaces
• An Epistemic Analysis of Time Phenomenon
• Spectral Projections for Density Matrices in Quantum Field Theories
• Entanglement harvesting: detector gap and field mass optimization
• Bell-CHSH inequality and unitary transformations in Quantum Field Theory
• Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
• Localization in Quantum Field Theory for inertial and accelerated observers
• Finite Gaussian assistance protocols and a conic metric for extremizing spacelike vacuum entanglement
• On temperature of a diamond
• Quantum Resource Theories of Anyonic Entanglement
• Fiducial observers and the thermal atmosphere in the black hole quantum throat
• Representations of two-qubit and ququart states via discrete Wigner functions
• A Fluctuation Theory of Topological Susceptibility
• A note on the kinematic space associated with a subregion
• Quantum fields on projective geometries
• Investigating the Araki-Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory
• Correlations in geometric states
• Uniqueness of purifications is equivalent to Haag duality
• A source fragmentation approach to interacting quantum field theory
• Searching for emergent spacetime in spin glasses
• Entanglement Spectrum Resolved by Loop Symmetries
• Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study
• Space-Time-Matter: Some Notes on the Localization Problem in Relativistic Quantum Theory
• Volume-law entanglement fragmentation of quasiparticles
• On Entanglement Entropy of Maxwell fields in 3+1 dimensions
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Modular theory and affine representations on the Rindler horizon
• Lubkin-Page typicality bounds for Type~II von~Neumann factors
• Spin exchange of two spin-1/2 atoms
• Relative entropy of single-mode squeezed states in Quantum Field Theory
• Quantum Information Approaches to Quantum Gravity
• Superselection Rules, Bosonization Duality in 1+1 Dimensions and Momentum-Space Entanglement
• Entanglement Entropy of Free Fermions with a Random Matrix as a One-Body Hamiltonian