Jerusalem Lectures on Black Holes and Quantum Information

Abstract

In these lectures I give an introduction to the quantum physics of black holes, including recent developments based on quantum information theory such as the firewall paradox and its various cousins. I also give an introduction to holography and the AdS/CFT correspondence, focusing on those aspects which are relevant for the black hole information problem.

v1: a lot of pages and figures. v2: still a lot of pages and figures, now with typos corrected. v3: version accepted to reviews of modern physics. more typo corrections, and a rewrite of section 4.6 for clarity. v4: Dedication to Jacob Bekenstein added, as well as a few references v5: more detailed explanation of Hawking's evaporation rate, minor corrections

References in corpus (31)

• Black holes as mirrors: quantum information in random subsystems
• Bulk Locality and Quantum Error Correction in AdS/CFT
• Complexity and Shock Wave Geometries
• Holography from Conformal Field Theory
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• A holographic proof of the strong subadditivity of entanglement entropy
• Entanglement Entropy at Large Central Charge
• Relative entropy and the Bekenstein bound
• Constructing local bulk observables in interacting AdS/CFT
• Black hole information, unitarity, and nonlocality
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• NP-complete Problems and Physical Reality
• Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
• Switchbacks and the Bridge to Nowhere
• Proof of a Quantum Bousso Bound
• Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
• Gravitational effects in ultrahigh-energy string scattering
• Possible observational windows for quantum effects from black holes
• Towards an S-matrix Description of Gravitational Collapse
• CFT representation of interacting bulk gauge fields in AdS
• Evaporation of large black holes in AdS: coupling to the evaporon
• A proof of the generalized second law for rapidly-evolving Rindler horizons
• Entangled black holes as ciphers of hidden information
• Violations of the Born rule in cool state-dependent horizons
• Insightful D-branes
• Holographic Space-Time Does Not Predict Firewalls
• String-theoretic breakdown of effective field theory near black hole horizons
• Backdraft: String Creation in an Old Schwarzschild Black Hole
• Longitudinal nonlocality in the string S-matrix
• Complementarity, not Firewalls
• Geometry of the Infalling Causal Patch

Cited by in corpus (308)

• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Bulk Locality and Quantum Error Correction in AdS/CFT
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Echoes from the Abyss: Tentative evidence for Planck-scale structure at black hole horizons
• Quantum Entanglement in Neural Network States
• The Ryu-Takayanagi Formula from Quantum Error Correction
• Black Hole Remnants and the Information Loss Paradox
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• Entanglement entropy: holography and renormalization group
• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• Entanglement entropy of electromagnetic edge modes
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• An introductory review of the resource theory approach to thermodynamics
• Entanglement entropy in Galilean conformal field theories and flat holography
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• The Black Hole information problem: past, present, and future
• Black holes and the multiverse
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• Spacetime structure near generic horizons and soft hair
• Black Hole Entropy and Soft Hair
• Gravity/Ensemble Duality
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Key Science Goals for the Next-Generation Event Horizon Telescope
• Black Hole Collapse in the 1/c Expansion
• Observational evidence for cosmological coupling of black holes and its implications for an astrophysical source of dark energy
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Simple holographic models of black hole evaporation
• Observations of Hawking radiation: the Page curve and baby universes
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Islands and Page curves of Reissner-Nordström black holes
• Global symmetry, Euclidean gravity, and the black hole information problem
• Continuous symmetries and approximate quantum error correction
• Quantum Information in Holographic Duality
• Unitarity From a Smooth Horizon?
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Reasonable fermionic quantum information theories require relativity
• Event Horizon Telescope Observations as Probes for Quantum Structure of Astrophysical Black Holes
• Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity
• Echoes from the Abyss: A highly spinning black hole remnant for the binary neutron star merger GW170817
• The Page Curve for Fermionic Gaussian States
• Typical entanglement entropy in the presence of a center: Page curve and its variance
• A purification postulate for quantum mechanics with indefinite causal order
• Extreme Decoherence and Quantum Chaos
• Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
• Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains
• Universal black hole stability in four dimensions
• Holographic Complexity and de Sitter Space
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Islands in Flat-Space Cosmology
• Islands in Kaluza-Klein black holes
• Black Holes: Eliminating Information or Illuminating New Physics?
• Calderbank-Steane-Shor Holographic Quantum Error Correcting Codes
• No second law of entanglement manipulation after all
• Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
• Quasinormal modes-shadow correspondence for rotating regular black holes
• The Persistence of the Large Volumes in Black Holes
• A Holographic Proof of Rényi Entropic Inequalities
• Non-local Entanglement and Fast Scrambling in De-Sitter Holography
• Scalar Perturbations and Stability of a Loop Quantum Corrected Kruskal Black Hole
• Microcanonical Path Integrals and the Holography of small Black Hole Interiors
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Modular crossings, OPE coefficients and black holes
• Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts
• Regular evaporating black holes with stable cores
• Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim Gravity
• On the Universality of Hawking Radiation
• Entanglement Wedge Reconstruction and the Information Paradox
• Diffeomorphism invariance and the black hole information paradox
• Chaos in Matrix Models and Black Hole Evaporation
• Role of evaporation in gravitational collapse
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
• Island and Page curve for one-sided asymptotically flat black hole
• Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity
• Observing dynamical phases of BCS superconductors in a cavity QED simulator
• Bulk metric reconstruction from boundary entanglement
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Branches of the Black Hole Wave Function Need Not Contain Firewalls
• The Page curve and baby universes
• The Cheshire Cap
• TASI Lectures on the Emergence of the Bulk in AdS/CFT
• Soft mode and interior operator in Hayden-Preskill thought experiment
• Firewalls vs. Scrambling
• Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
• Tensor-network codes
• Phase Transitions in 4D Gauss-Bonnet-de Sitter Black Holes
• Black holes from CFT: Universality of correlators at large c
• On Coherent Delocalization in the Light-Matter Interaction
• Entanglement in macroscopic systems
• Information loss in effective field theory: entanglement and thermal entropies
• Behind the geon horizon
• Regular black holes and the first law of black hole mechanics
• Long-distance entanglement of purification and reflected entropy in conformal field theory
• Quantum hair of black holes out of equilibrium
• Euclidean and Hamiltonian thermodynamics for regular black holes
• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
• Anatomy of a thermal black hole mimicker
• Stringy ER=EPR
• Hunting Quantum Gravity with Analogs: the case of graphene
• Geometric phases distinguish entangled states in wormhole quantum mechanics
• The Effective Theory of Gravity and Dynamical Vacuum Energy
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Calculating Renyi Entropies with Neural Autoregressive Quantum States
• Back-reaction in canonical analogue black holes
• Bekenstein bound from the Pauli principle
• Toward physical realizations of thermodynamic resource theories
• Self-consistent description of a spherically-symmetric gravitational collapse
• Page curves and Entanglement Islands for the Step-Function Vaidya Model of Evaporating Black Holes
• A Survey of Black Hole Thermodynamics
• Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
• Hologram of a pure state black hole
• Page Curves for General Interacting Systems
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Grover search and the no-signaling principle
• Failure of Perturbation Theory Near Horizons: the Rindler Example
• Observer-dependent black hole interior from operator collision
• Decoding Holographic Codes with an Integer Optimisation Decoder
• Particle creation in nonstationary large N quantum mechanics
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Thermal and nonthermal scaling of the Casimir-Polder interaction in a black hole spacetime
• The Scales of Black Holes with nAdS${}_2$ Geometry
• Universal properties of the near-horizon geometry
• Pandora's box lid: geometry near the apparent horizon
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Gaussian quantum steering under the influence of a dilaton black hole
• Dynamics for holographic codes
• Entanglement Entropy in a Non-Conformal Background
• How General Is Holography?
• Kerr-Vaidya black holes
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• Quantum Causal Influence
• Gravity and On-Shell Probe Actions
• Analogies between the Black Hole Interior and the Type II Weyl Semimetals
• Black holes as spherically-symmetric horizon-bound objects
• Paradoxes before the paradox: surface gravity and the information loss problem
• Quantum space-time marginal problem: global causal structure from local causal information
• Unambiguous Phase Spaces for Subregions
• Hidden Messenger from Quantum Geometry: Towards Information Conservation in Quantum Gravity
• The information recovery problem
• Late time Wilson lines
• Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime
• Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
• Complexity = Anything Can Grow Forever in de Sitter
• The black hole interior and the type II Weyl fermions
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Duality transformations and the entanglement entropy of gauge theories
• Unitarity and Page curve for evaporation of 2D AdS black holes
• An order-unity correction to Hawking radiation
• Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory
• Broadband complex two-mode quadratures for quantum optics
• Observational strong gravity and quantum black hole structure
• Kinematic and energy properties of dynamical regular black holes
• Why Firewalls Need Not Exist
• Interactions resolve state-dependence in a toy-model of AdS black holes
• Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity
• Gluon Shadowing and Nuclear Entanglement
• Infrared Effects in the Late Stages of Black Hole Evaporation
• Complexity Classification of Conjugated Clifford Circuits
• Landauer's principle in Qubit-Cavity quantum field theory Interaction in Vacuum and Thermal States
• The Quantum Computer Puzzle (Expanded Version)
• Do black holes create polyamory?
• From Entanglement Witness to Generalized Catalan Numbers
• Mermin's inequalities in Quantum Field Theory
• New Kind of Echo from Quantum Black Holes
• Gauge dependence and self-force from Galilean to Einsteinian free fall, compact stars falling into black holes, Hawking radiation and the Pisa tower at the general relativity centennial
• Smooth and sharp creation of a pointlike source for a $(3+1)$-dimensional quantum field
• Understanding holographic error correction via unique algebras and atomic examples
• The D4/D8 model and holographic QCD
• Reparameterization Dependence is Useful for Holographic Complexity
• Quantum information in Hawking radiation
• Channels, measurements and post-selection in quantum thermodynamics
• $SL(2,R)$ lattices as information processors
• Quantum fluctuating geometries and the information paradox
• Long-Range Nonlocality in Six-Point String Scattering: simulation of black hole infallers
• Are quantum corrections on horizon scale physically motivated?
• Remarks on the light ring images and the optical appearance of hairy black holes in Einstein-Maxwell-dilaton gravity
• Tensor Network Models of Unitary Black Hole Evaporation
• Black Holes in Lorentz-Violating Gravity: Thermodynamics, Geometry, and Particle Dynamics
• The Devil in the (Implicit) Details. On the AMPS Paradox and its Resolution
• Hayden-Preskill protocol and decoding Hawking radiation at finite temperature
• On the Stringy Hartle-Hawking State
• Unitary toy qubit transport model for black hole evaporation
• Entanglement in Fock space of random QFT states
• Holographic networks for (1+1)-dimensional de Sitter spacetime
• How to Recover a Qubit That Has Fallen Into a Black Hole
• What can we learn about islands and state paradox from quantum information theory?
• Lectures on Bulk Reconstruction
• Wormholes and the Thermodynamic Arrow of Time
• Subregions, Minimal Surfaces, and Entropy in Semiclassical Gravity
• Recovering Infalling Information via String Spreading
• Emission Channels from Perturbed Quantum Black Holes
• Two arguments for more fundamental building blocks
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Total spectral distributions from Hawking radiation
• Wigner distributions in Rindler spacetime and nonvacuum Minkowski states
• Black Hole Remnants from Dynamical Dimensional Reduction?
• On Firewalls in quantum-corrected General Relativity
• Black bounces and remnants in dilaton gravity
• Pacman geometries and the Hayward term in JT gravity
• The Hawking temperature of dynamical black holes via conformal transformations
• Quantization of Jackiw-Teitelboim gravity with a massless scalar
• Hawking radiation and black hole gravitational back reaction - A quantum geometrodynamical simplified model
• New Perspective On The Unruh Effect
• On black holes as macroscopic quantum objects
• Fractional Klein-Gordon Equation on AdS${}_{2+1}$
• Comments on the Bell-Clauser-Horne-Shimony-Holt inequality
• Anomalous anomalies from virtual black holes
• Dynamical phase transitions of information flow in random quantum circuits
• Asymmetric interiors for small black holes
• Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior
• Holography without holography: How to turn inter-representational into intra-theoretical relations in AdS/CFT
• Universal entanglement timescale for Rényi entropies
• Lightcone Bounds for Quantum Circuit Mapping via Uncomplexity
• Entanglement entropy of Primordial Black Holes after inflation
• Saturating The Bekenstein-Hawking Entropy Bound With Initial Data Sets For Gravitational Collapse
• Lost Horizon? -- Modeling Black Holes in String Theory
• Information paradox and corrected thermodynamics for black holes
• The information loss problem and Hawking radiation as tunneling
• Causal unitary qubit model of black hole evaporation
• Information scrambling and entanglement in quantum approximate optimization algorithm circuits
• Thermodynamics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
• Higher-Curvature Gravity, Black Holes and Holography
• Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds
• Test of Transitivity in Quantum Field theory using Rindler spacetime
• Topological Origin of Horizon Temperature via the Chern-Gauss-Bonnet Theorem
• Path integral derivation of the thermofield double state in causal diamonds
• Random pure Gaussian states and Hawking radiation
• Semiclassical S-matrix and black hole entropy in dilaton gravity
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• Quantum thermalization must occur in translation-invariant systems at high temperature
• An effective framework for strange metallic transport
• Semiclassical solution of black hole information paradox
• Testing the Existence of Event Horizons against Rotating Reflecting Surfaces
• Entanglement in conformal field theory and holography
• Entropy production and correlation spreading in the interaction between particle detector and thermal baths
• Island mirages
• How Not to Extract Information From Black Holes: Cosmic Censorship as a Guiding Principle
• Thermality of the Unruh effect with intermediate statistics
• Fermionic model of unitary transport of qubits from a black hole
• Humeanism in Light of Quantum Gravity
• Future Boundaries and the Black Hole Information Paradox
• Unitarity and the information problem in an explicit model of black hole evaporation
• Quantum many-body physics from a gravitational lens
• Entanglement Entropy with a Time-dependent Hamiltonian
• Puzzles and pitfalls involving Haar-typicality in holography
• On Complexity of Holographic Flavors
• Quantum Black Holes
• Density matrix of radiation of black hole with fluctuating horizon
• Black Hole Horizons and Bose-Einstein Condensation
• Small Spins of Primordial Black Holes from Random Geometries: Bekenstein-Hawking Entropy and Gravitational Wave Observations
• Everything is a "matter" of perspective: the Unruh effect
• Spacing Statistics of Energy Spectra: Random Matrices, Black Hole Thermalization, and Echoes
• Black hole information recovery from gravitational waves
• Quantum black holes as solvents
• QCD, with Strings Attached
• Black hole information and Reeh-Schlieder theorem
• On the Unruh effect and the thermofield double state
• A divergent volume for black holes calls for no "firewall"
• Threefold Way for Typical Entanglement
• Memory Effects and Entanglement Dynamics of Finite time Acceleration
• Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
• Low-Energy Neutrinos from Primordial Black Holes: A New Possibility for Observing Hawking Radiation
• Modave Lectures on Quantum Information: An Introduction to Channels and Applications to Black Holes and AdS/CFT
• Black hole information paradox without Hawking radiation
• Real-Time Holography and Hybrid WKB for BTZ Wormholes
• Quantum harmonic oscillator, entanglement in the vacuum and its geometric interpretation
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• Gravitational correlation, black hole entropy and information conservation
• Effect of Wigner rotation on estimating unitary-shift parameter of relativistic spin-1/2 particle
• Inverse Hamiltonian Reconstruction from Gravitational Energy Density in Curved Spacetime
• Editorial: New Frontiers in Holographic Duality -- From quantum complexity and black holes to hydrodynamics and neutron stars
• Holography and the Page curve of an evaporating black hole
• Reveal the lost entanglement for accelerated atoms in the high-dimensional spacetime
• Minimal Proper-time in Quantum Field Theory
• Generalized conformal quantum mechanics as an ideal observer in two-dimensional gravity
• Hawking Radiation: A Comparison of Pure-state and Thermal Descriptions
• The curious case of operators with spectral density increasing as $\Omega (E)\sim e^{Const.E^2}$
• Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble
• Black Holes in String Theory
• Quantum Information Approaches to Quantum Gravity
• Numerical Relativity, Holography and the Quantum Null Energy Condition
• Quantum Entanglement in Time
• Unitary evolution to a state with a fixed mean number of particles
• Efficient detection of localization transitions using predictability
• Imprints of Topological Thermodynamics on Black Hole Dynamics
• Emergent gravity from patterns in natural numbers
• Quantum origin of the Minkowski space
• Time-independence of gravitational Rényi entropies and unitarity in quantum gravity
• Classical limit for Dirac fermions with modified action in the presence of the black hole
• Hawking Radiation Is Pure
• Schwarzschild black hole states and entropies on a nice slice
• Entangled wavepackets in the vacuum
• Quantum Information for Particle Theorists
• Black Hole Cannibalism
• The non-orientable spacetime of the eternal black hole
• Quasiparticle picture from the Bekenstein bound
• Coherence revival under the Unruh effect and its metrological advantage
• Black holes and their horizons in semiclassical and modified theories of gravity
• AdS/CFT without holography: A hidden dimension on the CFT side and implications for black-hole entropy
• Hawking Radiation and Entropic Gravity
• Emergent diffeomorphism invariance in toy models
• Entanglement Spectrum Resolved by Loop Symmetries
• On Emergent Geometry from Entanglement Entropy in Matrix theory
• Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories
• Hawking modes and the optimal disperser : Holographic lessons from the observer's causal-patch unitarity
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Spontaneous parametric down conversion with a depleted pump as an analogue for black hole evaporation/particle production