Fast Scramblers
arXiv:0808.2096 · doi:10.1088/1126-6708/2008/10/065
Abstract
We consider the problem of how fast a quantum system can scramble (thermalize) information, given that the interactions are between bounded clusters of degrees of freedom; pairwise interactions would be an example. Based on previous work, we conjecture: 1) The most rapid scramblers take a time logarithmic in the number of degrees of freedom. 2) Matrix quantum mechanics (systems whose degrees of freedom are n by n matrices) saturate the bound. 3) Black holes are the fastest scramblers in nature. The conjectures are based on two sources, one from quantum information theory, and the other from the study of black holes in String Theory.
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- Slow scrambling in sonic black holes
- Fast Scrambling of Mutual Information in Kerr-AdS
- UV And IR Effects On Hawking Radiation
- Operator Size Distribution in Large Quantum Mechanics of Majorana Fermions
- Exactly solvable many-body dynamics from space-time duality
- Spread complexity and quantum chaos for periodically driven spin chains
- Circular string in a Black p-brane leading to chaos
- Asymptotic freedom in a strongly interacting scalar quantum field theory in four Euclidean dimensions
- Purification and scrambling in a chaotic Hamiltonian dynamics with measurements
- Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
- Notes on Scrambling in Conformal Field Theory
- Weak chaos and mixed dynamics in the string S-matrix
- Out-of-Time-Order Correlators in One-Dimensional XY model
- The quantum cat map on the modular discretization of extremal black hole horizons
- Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
- Quantum Information Scrambling Through a High-Complexity Operator Mapping
- Phase diagram of QCD chaos in linear sigma models and holography
- Rescuing Complementarity With Little Drama
- Black hole evaporation and semiclassicality at large D
- Time dependence of entanglement entropy on the fuzzy sphere
- Dynamics of Holographic Entanglement Entropy Following a Local Quench
- Charge transport, information scrambling and quantum operator-coherence in a many-body system with U(1) symmetry
- Chaotic dynamics of string around the conformal black hole
- Charge Loss (or the Lack Thereof) for AdS Black Holes
- Interactions resolve state-dependence in a toy-model of AdS black holes
- Black hole collapse and democratic models
- Quantum and Classical Dynamics with Random Permutation Circuits
- Energy carries Information
- From the Black Hole Conundrum to the Structure of Quantum Gravity
- Designs from Local Random Quantum Circuits with SU(d) Symmetry
- Melnikov's method in String Theory
- Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
- Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator
- Scrambling in Yang-Mills
- Classical and quantum butterfly effect in nonlinear vector mechanics
- Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuit
- Chaos-induced depletion of a Bose-Einstein condensate
- Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version
- From Uneventful Horizon to Firewall in D-Dimensional Effective Theory
- Black holes as Andreev reflecting mirrors
- Interior Metric of Slowly Formed Black Holes in a Heat Bath
- Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
- Collisions of localized shocks and quantum circuits
- Bouncing inside the horizon and scrambling delays
- Complementarity + Back-reaction is enough
- Operational islands and black hole dissipation in JT gravity
- Relativeness in Quantum Gravity: Limitations and Frame Dependence of Semiclassical Descriptions
- Quantum chaos and thermalization in the two-mode Dicke model
- Scrambling in Two-Dimensional Conformal Field Theories with Light and Smeared Operators
- Many-body systems with random spatially local interactions
- Fast Scrambling of mutual information in Kerr-AdS
- On the universality of late-time correlators in semi-classical 2d CFTs
- Chaos and relative entropy
- Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
- Complexity is not Enough for Randomness
- Correlations vs connectivity in R-charge
- Black Holes and Marchenko-Pastur Distribution
- Quantum scrambling via accessible tripartite information
- Eternal inflation in light of Wheeler-DeWitt equation
- Quantum Complexity and Chaos in Young Black Holes
- Adversarial Robustness Guarantees for Quantum Classifiers
- Linear Cross Entropy Benchmarking with Clifford Circuits
- Extracting Hawking Radiation Near the Horizon of AdS Black Holes
- Reparameterization Dependence is Useful for Holographic Complexity
- Quantum Chaos and Circuit Parameter Optimization
- Realizing the Hayden-Preskill Protocol with Coupled Dicke Models
- Quantum chaos in the Dicke model and its variants
- A Solvable Model of Quantum Darwinism-Encoding Transitions
- Perturbing a quantum black hole
- The Limits of Quantum Information Scrambling
- TCC bounds on the static patch of de Sitter space
- Information spreading and scrambling in disorder-free multiple-spin interacting models
- Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
- Mixed-state Entanglement for AdS Born-Infeld Theory
- Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
- Membrane Paradigm, Gravitational -Term and Gauge/Gravity Duality
- Hall Scrambling on Black Hole Horizons
- Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
- Floquet engineered inhomogeneous quantum chaos in critical systems
- Fast Scramblers And Ultrametric Black Hole Horizons
- Slow scrambling and hidden integrability in a random rotor model
- Universal Spreading of Conditional Mutual Information in Noisy Random Circuits
- UV Dispersive Effects on Hawking Radiation
- Upper bound about cross-sections inside black holes and complexity growth rate
- Operator Spreading in the Memory Matrix Formalism
- Hayden-Preskill protocol and decoding Hawking radiation at finite temperature
- Echoes from corpuscular black holes
- What can we learn about islands and state paradox from quantum information theory?
- Parisi's hypercube, Fock-space frustration and near-AdS/near-CFT holography
- Holographic Naturalness
- Operator size growth in Lindbladian SYK
- Matrix Thermalization
- A holographic model for black hole complementarity
- Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
- Projective toric designs, quantum state designs, and mutually unbiased bases
- Complexity growth for topological black holes by holographic method
- Wormholes and the Thermodynamic Arrow of Time
- Chaos in Yang-Mills Chern-Simons Matrix Model
- Quantum Back Flow Across a Black Hole Horizon in a Toy Model Approach
- Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
- Hayden-Preskill Recovery in Hamiltonian Systems
- Onset of scrambling as a dynamical transition in tunable-range quantum circuits
- Quantum theory of three-dimensional de Sitter space
- Temporal fluctuations of correlators in integrable and chaotic quantum systems
- Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
- Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
- Information Scrambling in Free Fermion Systems with a Sole Interaction
- Black hole holography and mean field evolution
- Quantum chaos in the presence of non-conformality
- Stochastic Sampling of Operator Growth Dynamics
- 3D supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator
- Designs from magic-augmented Clifford circuits
- Decelerating cosmologies are de-scramblers
- Maximally Chaotic Dynamical Systems and Fundamental Interactions
- Codification Volume of an operator algebra and its irreversible growth through thermal processes
- An operational definition of quantum information scrambling
- Effects of the acceleration on holographic complexity
- Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
- The black hole information problem beyond quantum theory
- Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
- Parisi's hypercube, Fock-space fluxes, and the microscopics of near-AdS/near-CFT duality
- Scrambling in charged hairy black holes and the Kasner interior
- Universal distributions of overlaps from generic dynamics in quantum many-body systems
- Dynamical phase transitions of information flow in random quantum circuits
- Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
- Comments on the Entanglement Spectrum of de Sitter Space
- D-Flation
- Simulating Floquet scrambling circuits on trapped-ion quantum computers
- Quantum reservoir probing: an inverse paradigm of quantum reservoir computing for exploring quantum many-body physics
- Tunable Geometries in Sparse Clifford Circuits
- Chaos from Equivariant Fields on Fuzzy
- Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
- Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior
- Correlation functions for open strings and chaos
- Lightcone Bounds for Quantum Circuit Mapping via Uncomplexity
- Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
- A "Helium Atom" of Space: Dynamical Instability of the Isochoric Pentahedron
- Scrambling in the Quantum Lifshitz Model
- A Stringy Effect on Hawking Radiation
- Classicalization and unitarization of wee partons in QCD and Gravity: The CGC-Black Hole correspondence
- Fast pseudorandom quantum state generators via inflationary quantum gates
- Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
- Linear responses of D0-branes via gauge/gravity correspondence
- Nonlocal fermions and the entropy volume law
- Thermal states of random quantum many-body systems
- A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
- Generic Entanglement Entropy for Quantum States with Symmetry
- Stationary Solution to Charged Hairy Black Hole in AdS4: Kasner Interior, Rotating Shock Waves, and Fast Scrambling
- Physical Effects of the Gravitational -Parameter
- Non-Clifford Cost of Random Unitaries
- Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
- Out-of-time-ordered correlator in the one-dimensional Kuramoto-Sivashinsky and Kardar-Parisi-Zhang equations
- Key Observable for Linear Thermalization
- Black Hole and Fuzzy Objects in BFSS Matrix Model
- Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
- Can the Horowitz-Maldacena proposal be an alternative to the firewall?
- Relaxation exponents of OTOCs and overlap with local Hamiltonians
- Random pure Gaussian states and Hawking radiation
- Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
- Tracking locality in time evolution of disordered systems
- Beyond quantum chaos in emergent dual holography
- Cycle-expansion method for the Lyapunov exponent, susceptibility, and higher moments
- Size Winding Mechanism beyond Maximal Chaos
- Entanglement dynamics and Page curves in random permutation circuits
- Emergent random matrix universality in quantum operator dynamics
- The Temperature/Entropy Connection for Horizons, Massless Particle Scattering, and the Origin of Locality
- Probing scrambling and operator size distributions using random mixed states and local measurements
- Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
- SYK models with dynamical bosons and fermions
- Scrambling Transition in Free Fermion Systems Induced by a Single Impurity
- How Not to Extract Information From Black Holes: Cosmic Censorship as a Guiding Principle
- Fidelity decay and error accumulation in random quantum circuits
- Brown-Teitelboim Instantons and the First Law of Thermodynamics of (Anti) de Sitter Space
- A Theory of Direct Randomized Benchmarking
- Architectures and random properties of symplectic quantum circuits
- Anomalous Quantum Information Scrambling for Parafermion Chains
- Random Circuits in the Black Hole Interior
- Complexity as a holographic probe of strong cosmic censorship
- Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum
- Decoding general error correcting codes and the role of complementarity
- Coherent Information Phase Transition in a Noisy Quantum Circuit
- Chaos from Massive Deformations of Yang-Mills Matrix Models
- Cosmological constant, inflation and no-cloning theorem
- Machine learning, quantum chaos, and pseudorandom evolution
- Quantum Annealing with chaotic driver Hamiltonians
- Chaotic Dynamics of the Mass Deformed ABJM Model
- Black hole production, eternal inflation, and information in quasi-de Sitter space
- Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
- Quantum Darwinism-encoding transitions on expanding trees
- Recovery of damaged information via scrambling in indefinite casual order
- Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
- Wehrl Entropy and Entanglement Complexity of Quantum Spin Systems
- Late time behavior of -point spectral form factors in Airy and JT gravities
- Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity
- Fast Pre-scramblers
- Generalized volume-complexity for Lovelock black holes
- Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
- Measurement-invisible quantum correlations in scrambling dynamics
- On Computational Complexity of Unitary and State Design Properties
- The Nonabelian Plasma is Chaotic
- Entanglement dynamics of multi-parametric random states: a single parametric formulation
- At World's End: Where Complementarity and Irreversibility meet in the Black Hole
- Uncertainty Relations in Pre- and Post-Selected Systems
- SYK model based regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
- Emergent geometry from stochastic dynamics, or Hawking evaporation in M(atrix) theory
- Directional scrambling of quantum information in helical multiferroics
- Hidden Non-Locality and Self-Superrenormalization of Quantum Gravity
- Black Hole Interiors via Spin Models
- Holographic Map for Cosmological Horizons
- Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
- Scrambling in Ising spin systems with periodic transverse magnetic fields
- From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
- Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
- Signatures of quantum chaos and complexity in the Ising model on random graphs
- Coherence-induced deep thermalization transition in random permutation quantum dynamics
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- Quantum Chaos of Unitary Fermi Gases in Strong Pairing Fluctuation Region
- Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators
- Information phases of partial projected ensembles generated from random quantum states and scrambling dynamics
- Classical Unattainability of Extremality in non-BPS D-brane Systems
- Threefold Way for Typical Entanglement
- Grothendieck's point of view and complexity in the black hole paradox
- The butterfly effect in a Sachdev-Ye-Kitaev quantum dot system
- Validity of black hole complementarity in an accelerating Schwarzschild black hole
- Effective field theory description of horizon-fluid determines the scrambling time
- Information scrambling and butterfly velocity in quantum spin glass chains
- Detecting few-body quantum chaos: out-of-time ordered correlators at saturation
- Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
- Deviation from maximal entanglement for mid-spectrum eigenstates of local Hamiltonians
- Field theory of charge sharpening in symmetric monitored quantum circuits
- Experimental Masking of Real Quantum States
- Cascade of instabilities in the classical limit of the BMN matrix model
- Learning out-of-time-ordered correlators with classical kernel methods
- Entropy augmentation through subadditive excess: information theory in irreversible processes
- Chaos in balanced and unbalanced holographic s+p superconductors
- Chaos and anomalous transport in a semiclassical Bose-Hubbard chain
- Out-of-time-ordered commutators in Dirac--Weyl systems
- Detecting quantum chaos via pseudo-entropy
- Markov Gap and Bound Entanglement in Haar Random State
- Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
- Hot wormholes and chaos dynamics in a two-coupled SYK model
- Flat-space Quantum Gravity in AdS/CFT
- Arnol'd cat map lattices
- Qubits on programmable geometries with a trapped-ion quantum processor
- Replicas, averaging and factorization in the IIB matrix model
- Scrambling dynamics across a thermalization-localization quantum phase transition
- Post AdS/CFT
- Towards Hamiltonian Formalism for String Field Theory and Nonlocality
- Efficient detection of localization transitions using predictability
- Turbulent aspects of BMN membrane dynamics
- Attraction Induced by Mutual Quantum Measurements of Velocity
- UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
- M-theory as a dynamical system generator
- Krylov Winding and Emergent Coherence in Operator Growth Dynamics
- Exponential mixing of all orders for Arnol'd cat map lattices
- Smooth horizons and quantum ripples
- The holographic space-time model of inflation and its predictions for the CMB primordial spectra
- On a Matrix Ensemble for Arbitrary Complex Quantum Systems
- Searching for emergent spacetime in spin glasses
- Adaptively secure unitary designs with constant non-Clifford cost
- Exact Quench Dynamics from Thermal Pure Quantum States
- Scrambling time for analogue black holes embedded in AdS space
- Quantum Chaos and Unitary Black Hole Evaporation
- Subsystem Thermalization Hypothesis in Quantum Spin Chains with Conserved Charges
- From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
- Realizing Unitary -designs with a Single Quench
- Analytically Continuing the Randomized Measurement Toolbox
- Fast Scrambling in Classically Simulable Quantum Circuits
- Moments of Quantum Channel Ensembles
- Black Hole Cannibalism
- Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures
- Black Hole Mergers as the Fastest Photon Ring Scramblers
- Local Geometric Bounds on Generalized Entropy Evolution along Null Horizons
- Chaos in Matrix Gauge Theories with Massive Deformations
- Higher-spin localized shocks
- Fixed lines in four fermion models in two dimensions
- Black hole mining in the RST model
- Rationally independent free fermions with local hopping