Complexity and Shock Wave Geometries

Abstract

In this paper we refine a conjecture relating the time-dependent size of an Einstein-Rosen bridge to the computational complexity of the of the dual quantum state. Our refinement states that the complexity is proportional to the spatial volume of the ERB. More precisely, up to an ambiguous numerical coefficient, we propose that the complexity is the regularized volume of the largest codimension one surface crossing the bridge, divided by $G_N{l}_{AdS}$. We test this conjecture against a wide variety of spherically symmetric shock wave geometries in different dimensions. We find detailed agreement.

25 pages, 10 figures

References in corpus (24)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Black holes and the butterfly effect
• Black holes as mirrors: quantum information in random subsystems
• Cool horizons for entangled black holes
• Entanglement Renormalization and Holography
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Multiple Shocks
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• The Black Hole Singularity in AdS/CFT
• Inside the Horizon with AdS/CFT
• Quantum Computation vs. Firewalls
• Entanglement growth during thermalization in holographic systems
• On geodesic propagators and black hole holography
• Bulk and Transhorizon Measurements in AdS/CFT
• Approximation by Quantum Circuits
• Rindler Quantum Gravity
• Disrupting Entanglement of Black Holes
• Evaporating Firewalls
• Butterflies on the Stretched Horizon
• New Concepts for Old Black Holes
• From Geometry to Quantum Computation
• Black hole singularity in AdS/CFT

Cited by in corpus (523)

• Complexity Equals Action
• Black hole chemistry: thermodynamics with Lambda
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Chaos in quantum channels
• Localized shocks
• Complexity, action, and black holes
• Jerusalem Lectures on Black Holes and Quantum Information
• Two-dimensional conformal field theory and the butterfly effect
• Chaos and complexity by design
• Circuit complexity in quantum field theory
• Towards Complexity for Quantum Field Theory States
• Gravitational action with null boundaries
• Quantum Simulation for High Energy Physics
• The Second Law of Quantum Complexity
• Comments on Holographic Complexity
• Holographic Complexity
• Quantum chaos and the complexity of spread of states
• Noether charge, black hole volume, and complexity
• Complexity of Formation in Holography
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• Circuit Complexity in Fermionic Field Theory
• Complexity and entanglement for thermofield double states
• Quantum Computation as Gravity
• Complexity Growth for AdS Black Holes
• Operator complexity: a journey to the edge of Krylov space
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• Gravity Dual of Quantum Information Metric
• Islands in Schwarzschild black holes
• Circuit complexity in interacting QFTs and RG flows
• Quantum Complexity and Negative Curvature
• Linear growth of quantum circuit complexity
• Many-body quantum magic
• Holographic Complexity in Vaidya Spacetimes II
• Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK
• Krylov Localization and suppression of complexity
• Holographic Pseudo Entropy
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• The bulk Hilbert space of double scaled SYK
• Does Complexity Equal Anything?
• Circuit Complexity for Coherent States
• Black Hole Microstate Cosmology
• Path-Integral Complexity for Perturbed CFTs
• Subsystem Complexity and Holography
• Time Evolution of Complexity: A Critique of Three Methods
• Models of quantum complexity growth
• Switchbacks and the Bridge to Nowhere
• Universal chaotic dynamics from Krylov space
• Black holes, complexity and quantum chaos
• Holographic Complexity in Vaidya Spacetimes I
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Divergences in Holographic Complexity
• Quantum Dynamics in Krylov Space: Methods and Applications
• Complexity growth of operators in the SYK model and in JT gravity
• Holographic tensor network models and quantum error correction: A topical review
• The Typical-State Paradox: Diagnosing Horizons with Complexity
• Complexity of Mixed States in QFT and Holography
• Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
• Holographic complexity is nonlocal
• Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
• Complexity and the bulk volume, a new York time story
• Quantum complexity and topological phases of matter
• Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT
• Holographic Complexity Equals Which Action?
• The Complexity Geometry of a Single Qubit
• The First Law of Complexity
• Canonical Energy is Quantum Fisher Information
• On Complexity for Higher Derivative Gravities
• Symmetries Near the Horizon
• Quantum Information in Holographic Duality
• Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game -
• The effect of Dilaton on the holographic complexity growth
• Random Matrix Theory for Complexity Growth and Black Hole Interiors
• Holographic Complexity And Cosmological Singularities
• Holographic Entanglement of Purification from Conformal Field Theories
• Nuts and Bolts for Creating Space
• A Complexity for Quantum Field Theory States and Application in Thermofield Double States
• Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum
• Complexity for Conformal Field Theories in General Dimensions
• Complexity Equals Anything II
• Geometry of Complexity in Conformal Field Theory
• Copenhagen vs Everett, Teleportation, and ER=EPR
• Renormalized Circuit Complexity
• Riemannian and Lorentzian flow-cut theorems
• Chaotic strings in AdS/CFT
• Complexity in de Sitter Space
• Complexity measures from geometric actions on Virasoro and Kac-Moody orbits
• Complexity Growth Rate in Lovelock Gravity
• Krylov complexity and chaos in quantum mechanics
• Cosmological Complexity
• The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
• Holographic subregion complexity under a thermal quench
• Restrictions on realizable unitary operations imposed by symmetry and locality
• Action growth of charged black holes with a single horizon
• Teleportation Through the Wormhole
• Hamiltonian variational ansatz without barren plateaus
• Holographic Complexity for Defects Distinguishes Action from Volume
• Product Spectrum Ansatz and the Simplicity of Thermal States
• Principles and symmetries of complexity in quantum field theory
• Subregion Action and Complexity
• Complexity Growth in Integrable and Chaotic Models
• Spread Complexity and Topological Transitions in the Kitaev Chain
• Holographic complexity and non-commutative gauge theory
• Complexity growth rates for AdS black holes in massive gravity and $f(R)$ gravity
• Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
• Complexity change under conformal transformations in AdS${}_3$/CFT${}_2$
• Surface Counterterms and Regularized Holographic Complexity
• Complexity of the AdS Soliton
• The Information Theoretic Interpretation of the Length of a Curve
• Entangling power and quantum circuit complexity
• Holographic Complexity and Volume
• Krylov complexity of density matrix operators
• Holographic Complexity in Gauge/String Superconductors
• Holographic Complexity and de Sitter Space
• Circuit Complexity across a Topological Phase Transition
• Holographic flows from CFT to the Kasner universe
• Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
• Aspects of The First Law of Complexity
• Holographic complexity and action growth in massive gravities
• A universal approach to Krylov State and Operator complexities
• Holographic Complexity and Two Identities of Action Growth
• Action growth rate for a higher curvature gravitational theory
• Conformal field theory complexity from Euler-Arnold equations
• Divergences in the rate of complexification
• The Rise of Cosmological Complexity: Saturation of Growth and Chaos
• Quantum vs. classical information: operator negativity as a probe of scrambling
• Testing Holographic Conjectures of Complexity with Born-Infeld Black Holes
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Complexity of Holographic Superconductors
• Circuit Complexity From Cosmological Islands
• Fidelity Susceptibility as Holographic PV-Criticality
• Non-local Entanglement and Fast Scrambling in De-Sitter Holography
• Wormholes & Holography: An Introduction
• Microcanonical Path Integrals and the Holography of small Black Hole Interiors
• Holographic local quench and effective complexity
• Lorentzian threads as 'gatelines' and holographic complexity
• Finding Pythons in Unexpected Places
• WdW-patches in AdS${}_3$ and complexity change under conformal transformations II
• Entanglement Entropy and the Colored Jones Polynomial
• Holographic Complexity in dS${}_{d+1}$
• Double Local Quenches in 2D CFTs and Gravitational Force
• Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim Gravity
• Circuit Complexity for Fermionic Thermofield Double states
• Spread complexity in saddle-dominated scrambling
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Complexity and action for warped AdS black holes
• Fine-Grained Chaos in $Ad{S}_2$ Gravity
• Gravitational path integral from the $T^2$ deformation
• Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos
• Quantum complexity in gravity, quantum field theory, and quantum information science
• State Dependence of Krylov Complexity in $2d$ CFTs
• Circuit Complexity and 2D Bosonisation
• Spread complexity as classical dilaton solutions
• Holographic Complexity of Quantum Black Holes
• Holographic complexity of anisotropic black branes
• Signature of quantum chaos in operator entanglement in 2d CFTs
• Entanglement Island and Page Curve in Wedge Holography
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• Time evolution of the complexity in chaotic systems: concrete examples
• Holographic measurement and bulk teleportation
• Uncomplexity and Black Hole Geometry
• AdS/BCFT and Island for curvature-squared gravity
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• Wormholes from heavy operator statistics in AdS/CFT
• Holographic Complexity and Thermodynamic Volume
• Trans-IR Flows to Black Hole Singularities
• Circuit complexity for generalised coherent states in thermal field dynamics
• Binding Complexity and Multiparty Entanglement
• Holographic Subregion Complexity for Singular Surfaces
• A relation between Krylov and Nielsen complexity
• Holographic Complexity Growth Rate in Horndeski Theory
• Quantum State Complexity in Computationally Tractable Quantum Circuits
• Circuit Complexity as a novel probe of Quantum Entanglement: A study with Black Hole Gas in arbitrary dimensions
• Thoughts on Holographic Complexity and its Basis-dependence
• Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
• Interior Structure and Complexity Growth Rate of Holographic Superconductor from M-Theory
• Complexity of mixed Gaussian states from Fisher information geometry
• Mixed s-sourcery: Building many-body states using bubbles of Nothing
• Holographic Complexity for Time-Dependent Backgrounds
• Exact Gravity Duals for Simple Quantum Circuits
• Wheeler-DeWitt states of the AdS-Schwarzschild interior
• Surface/State correspondence and $T\overline{T}$ deformation
• General Bounds on Holographic Complexity
• On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
• Cutoff Dependence and Complexity of the CFT${}_2$ Ground State
• Complexity=Anything: Singularity Probes
• Holographic Quantum Error Correction and the Projected Black Hole Interior
• Complexity of AdS_5 black holes with a rotating string
• The Speed of Quantum Information Spreading in Chaotic Systems
• Learning quantum states and unitaries of bounded gate complexity
• Complexity growth rate during phase transitions
• Circuit complexity for free Fermion with a mass quench
• Nonanalyticity of circuit complexity across topological phase transitions
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• Complexity and Momentum
• On Complexity Growth in Minimal Massive 3D Gravity
• Complexity and phase transitions in a holographic QCD model
• Inside Anisotropic Black Hole with Vector Hair
• Momentum/Complexity Duality and the Black Hole Interior
• Geometric Interpretation of Timelike Entanglement Entropy
• Chaos and Complexity for Inverted Harmonic Oscillators
• Einstein-AdS action, renormalized volume/area and holographic Renyi entropies
• The Cosmological Switchback Effect
• Complexity and Boost Symmetry
• Bounds on quantum evolution complexity via lattice cryptography
• Action Growth in $f\left(R\right)$ Gravity
• Comparison of holographic and field theoretic complexities by time dependent thermofield double states
• Charged Complexity and the Thermofield Double State
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Black Hole Chemistry: the first 15 years
• Resource theory of quantum uncomplexity
• Lovelock action with nonsmooth boundaries
• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Complexity/Action duality of shock wave geometry in a massive gravity theory
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• Complexity growth of rotating black holes with a probe string
• Krylov spread complexity as holographic complexity beyond JT gravity
• Holographic complexity and thermodynamics of AdS black holes
• Investigating two counting methods of the holographic complexity
• A Quantum Complexity Lowerbound from Differential Geometry
• Holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg superconductor
• Approximate Bacon-Shor Code and Holography
• Canonical Purification of Evaporating Black Holes
• Modified "complexity equals action" conjecture
• Subsystem complexity after a global quantum quench
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Spacetime as a quantum circuit
• On the Role of Counterterms in Holographic Complexity
• Holographic complexity in charged Vaidya black hole
• A Generalized Momentum/Complexity Correspondence
• Proof of a Momentum/Complexity Correspondence
• Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS
• A Bound on Holographic Entanglement Entropy from Inverse Mean Curvature Flow
• Dear Qubitzers, GR=QM
• Comments on Microcausality, Chaos, and Gravitational Observables
• Evolutions of entanglement and complexity after a thermal quench in massive gravity theory
• Topological terms, AdS_2n gravity and renormalized Entanglement Entropy of holographic CFTs
• Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
• Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang-Mills theory
• On the time dependence of holographic complexity for charged AdS black holes with scalar hair
• Complexity of warped conformal field theory
• Action growth for black holes in modified gravity
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Unitary Networks from the Exact Renormalization of Wave Functionals
• Building Tensor Networks for Holographic States
• A Survey of Black Hole Thermodynamics
• Chaos and Complexity from Quantum Neural Network: A study with Diffusion Metric in Machine Learning
• Holographic complexity of local quench at finite temperature
• More on Complexity in Finite Cut Off Geometry
• Kasner interiors from analytic hairy black holes
• Computing spacetime
• Volume complexity of dS bubbles
• Holographic complexity growth in a FLRW universe
• Regularizations of Action-Complexity for a Pure BTZ Black Hole Microstate
• Holographic subregion complexity under thermal quench in Einstein-Maxwell-Axions theory with momentum relaxation
• Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS
• Inflationary Krylov complexity
• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Action complexity in the presence of defects and boundaries
• Circuit Complexity in Topological Quantum Field Theory
• Renormalization of Entanglement Entropy from topological terms
• Path Integral Complexity and Kasner singularities
• Complexity Geometry and Schwarzian Dynamics
• Evolution of Holographic Complexity Near Critical Point
• Complexity and Floquet dynamics: non-equilibrium Ising phase transitions
• Complexity of operators generated by quantum mechanical Hamiltonians
• Complexity-action of subregions with corners
• Time dependence of complexity for Lovelock black holes
• Saturation of Thermal Complexity of Purification
• Revisit on holographic complexity in two-dimensional gravity
• Diagnosing collisions in the interior of a wormhole
• Holographic complexity of charged Taub-NUT-AdS black holes
• Complexity of Hyperscaling Violating Theories at Finite Cutoff
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Complexity Growth in Flat Spacetimes
• Revisiting the black hole entropy and the information paradox
• Holographic complexity for black branes with momentum relaxation
• Chemistry and Complexity for Solitons in AdS${}_5$
• Holographic subregion complexity of boosted black brane and Fisher information
• Anisotropic Flows into Black Holes
• Revisiting noninteracting string partition functions in Rindler space
• Complexity of Pure and Mixed Qubit Geodesic Paths on Curved Manifolds
• Entanglement Island versus Massless Gravity
• Krylov Complexity of Open Quantum Systems: From Hard Spheres to Black Holes
• Computational pseudorandomness, the wormhole growth paradox, and constraints on the AdS/CFT duality
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Size and momentum of an infalling particle in the black hole interior
• Holographic complexity for Lifshitz system
• Entwinement as a possible alternative to complexity
• AdS Black Holes with a Bouncing Interior
• Scrambling in quantum cellular automata
• Krylov complexity of deformed conformal field theories
• Generalized Volume-Complexity for RN-AdS Black Hole
• Unambiguous Phase Spaces for Subregions
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Interior Volume of Banados-Teitelboim-Zanelli Black Hole
• Q-curvature and Path Integral Complexity
• Non-perturbative Overlaps in JT Gravity: From Spectral Form Factor to Generating Functions of Complexity
• Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
• Shock waves, black hole interiors and holographic RG flows
• Complexity = Anything Can Grow Forever in de Sitter
• Universality in long-distance geometry and quantum complexity
• Bulk reconstruction of metrics inside black holes by complexity
• Holographic complexity of the electromagnetic black hole
• Equilibration in low-dimensional quantum matrix models
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Operator Size Distribution in Large $N$ Quantum Mechanics of Majorana Fermions
• Complexity of non-trivial sound speed in inflation
• Chaos and multifold complexity for an inverted harmonic oscillator
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Primordial Gravitational Wave Circuit Complexity
• Circuit complexity near critical points
• Black Holes and Complexity Classes
• Collision in the interior of wormhole
• Holographic complexity of Born-Infeld black holes
• Connections between reflected entropies and hyperbolic string vertices
• Maximal volume behind horizons without curvature singularity
• Complexity and Multi-boundary Wormholes
• Circuit Complexity in an interacting quenched Quantum Field Theory
• Subregion complexity in holographic thermalization with dS boundary
• Circuit Complexity in ${\mathcal{Z}}_2$ $\mathcal{EEF}\mathcal{T}$
• Holographic complexity: braneworld gravity versus the Lloyd bound
• The first law of differential entropy and holographic complexity
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
• The quantum cat map on the modular discretization of extremal black hole horizons
• Holographic complexity in general quadratic curvature theory of gravity
• Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe
• Entanglement dynamics of thermofield double states in integrable models
• Complexity Growth Following Multiple Shocks
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Bosonic and fermionic Gaussian states from Kähler structures
• Gravitational Corner Conditions in Holography
• On the entanglement contour of excited states in the holographic CFT
• How deep learning works --The geometry of deep learning
• Effects of quintessence dark energy on the action growth and butterfly velocity
• Energy functionals from Conformal Gravity
• Non-Conformality, Subregion Complexity and Meson Binding
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Holographic entanglement entropy for charged accelerating AdS black holes
• Entanglement in interacting quenched two-body coupled oscillator system
• Complexity via Replica Trick
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• The Cosmological Switchback Effect II
• The Interior Volume of Kerr-AdS Black Holes
• On Volume Subregion Complexity in Non-Conformal Theories
• To be unitary-invariant or not?: a simple but non-trivial proposal for the complexity between states in quantum mechanics/field theory
• Holography, quantum complexity and quantum chaos in different models
• Complexity growth of massive black hole with a probe string
• Complexity-constrained quantum thermodynamics
• Subsystem complexity after a local quantum quench
• Towards the Web of Quantum Chaos Diagnostics
• Complexity measures in QFT and constrained geometric actions
• Sectional curvatures distribution of complexity geometry
• Subregion complexity and confinement-deconfinement transition in a holographic QCD model
• Holographic Entanglement Entropy, Subregion Complexity and Fisher Information metric of `black' Non-SUSY D3 Brane
• Collisions of localized shocks and quantum circuits
• Complexity, scaling, and a phase transition
• Holographic complexity of rotating black holes with conical deficits
• Circuit complexity in proca theory
• Action complexity of charged black holes with higher derivative interactions
• Diving inside holographic metals
• Complexity and uncomplexity during energy injection
• Quantum information metric of conical defect
• Action Complexity for Semi-Classical Black Holes
• Quantum Complexity and Chaos in Young Black Holes
• Delicate windows into evaporating black holes
• Complexity Growth, Butterfly Velocity and Black hole Thermodynamics
• Quantum Spread Complexity in Neutrino Oscillations
• Holographic Complexity and Phase Transition for AdS Black Holes
• Krylov Complexity of Fermionic and Bosonic Gaussian States
• Cosmological complexity of the modified dispersion relation
• Time-independent wormholes
• Complexity and Time
• Upper bound about cross-sections inside black holes and complexity growth rate
• Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition
• Action Growth of Dyonic Black Holes and Electromagnetic Duality
• Holographic Complexity in a Charged Supersymmetric Black Holes
• Negative Complexity of Formation: the Compact Dimensions Strike Back
• Toward Krylov-based holography in double-scaled SYK
• Polynomial Equivalence of Complexity Geometries
• Saturation and recurrence of quantum complexity in random local quantum dynamics
• Complexity and scaling in quantum quench in $1+1$ dimensional fermionic field theories
• On the saturation of late-time growth of complexity in supersymmetric JT gravity
• Holographic Complexity for disentangled states
• Fidelity susceptibility for Lifshitz geometries via Lifshitz Holography
• Petz map and Python's lunch
• Properties of Modular Hamiltonians on Entanglement Plateaux
• Holographic complexity of hyperbolic black holes
• A Holographic Bound for D3-Brane
• Complexity and typical microstates
• Operator Size for Holographic Field Theories
• Horizons Protect Church-Turing
• Electric fields and quantum wormholes
• Complexity growth for topological black holes by holographic method
• Quantum complexity phase transitions in monitored random circuits
• Properties of the (Un)Complexity of Subsystems
• Holographic complexity under a global quantum quench
• Holographic Entanglement Entropy and Complexity for D-Wave Superconductors
• Complexity in algebraic QFT
• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• Geometric Quantum Discord Signals Non-Factorization
• Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
• Duality of Ryu-Takayanagi surfaces inside and outside the horizon
• Renormalized Holographic Subregion Complexity under Relevant Perturbations
• Interior structure of the holographic s + p superconductor and chaotic-stable transition near the black hole singularity
• Complexity for link complement States in Chern Simons Theory
• Holographic Complexity of Subregions in the Hyperscaling Violating Theories
• A falling magnetic monopole as a holographic local quench
• Toward the nonequilibrium thermodynamic analog of complexity and the Jarzynski identity
• Circuit Complexity in $U(1)$ Gauge Theory
• Complexity from Spinning Primaries
• Remarks on Black Hole Complexity Puzzle
• Note on stability and holographic subregion complexity
• Weighting gates in circuit complexity and holography
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States
• Real space circuit complexity as a probe of phase diagrams
• Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
• Complexity growth of BTZ black hole in massive gravity with a null string
• New Topological Gauss-Bonnet Black Holes in Five Dimensions
• Is volume the holographic dual of fidelity susceptibility?
• Holographic Cavalieri Principle as a Universal relation between Holographic Complexity and Holographic Entanglement Entropy
• Generalized holographic complexity of rotating black holes
• Universal Early-Time Growth in Quantum Circuit Complexity
• Thermodynamic and Holographic Information Dual to Volume
• Properties of Krylov state complexity in qubit dynamics
• Holographic information theoretic quantities for Lifshitz black hole
• Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
• Holographic complexity growth for a charged AdS-dilaton black holes with fixed and dynamical boundary respectively
• Towards complexity of primary-deformed Virasoro circuits
• Holographic complexity for nonlinearly charged Lifshitz black holes
• Causality Constraint on Circuit Complexity from $COSMOEFT$
• Holographic entanglement entropy and complexity for the cosmological braneworld model
• The Complexity of Being Entangled
• Complexity for superconformal primaries from BCH techniques
• Position dependence of Nielsen complexity for the Thermofield double state
• More on Holographic Volumes, Entanglement, and Complexity
• Information theoretic measures for Lifshitz system
• Complexity Conjecture of Regular Electric Black Holes
• Complexity growth rate, grand potential and partition function
• Holographic entanglement entropy and complexity of microstate geometries
• Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd's bound as a possible renormalization condition
• Complexity of Scalar Collapse in Anti-de Sitter Spacetime
• Complexity Near Horizons
• Upper bounds of holographic entanglement entropy growth rate for thermofield double states
• Wasserstein Complexity of Quantum Circuits
• Non-analyticity in Holographic Complexity near Critical points
• Operator growth and black hole formation
• Holographic Entanglement Entropy, Complexity, Fidelity Susceptibility and Hierarchical UV/IR Mixing Problem in $AdS_2/\mbox{open strings}$
• Holographic complexity of black non-susy D3-brane and the high temperature limit
• Random Circuits in the Black Hole Interior
• Field theory aspects of $\eta$-deformed superstring background
• The landscape of complexity measures in 2D gravity
• Late-Time Saturation of Black Hole Complexity
• Black hole interiors of homogeneous holographic solids under shear strain
• Holographic pressure and volume for black holes
• Hamilton-Jacobi formulation of holographic Entanglement Entropy
• On Complexity of Holographic Flavors
• Complexity in One- and Two-Qubit Systems
• Holographic mutual information and distinguishability of Wilson loop and defect operators
• Krylov Spread Complexity of Quantum-Walks
• HEE and HSC for flavors: perturbative structure in open string geometries
• Generalized volume-complexity for Lovelock black holes
• Krylov complexity of purification
• Subsystem Complexity and Measurements in Holography
• What's inside a hairy black hole in massive gravity?
• What kind of "complexity" is dual to holographic complexity?
• Boundary and bulk notions of transport in the AdS${}_3$/CFT${}_2$ correspondence
• Cosmological Complexity in K-essence
• Resource and stability near a critical point from the quantum information perspective
• Complexity Growth of Dyonic Black holes with Quartic Field Strength Corrections
• Quantum Cellular Automata, Black Hole Thermodynamics, and the Laws of Quantum Complexity
• A note on size-momentum correspondence and chaos
• Gravity dualities of quantum distances
• Holographic complexity of Born-Infeld gravity
• Universal Time Evolution of Holographic and Quantum Complexity
• Quantum circuit complexity and unsupervised machine learning of topological order
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Complexity for deep neural networks and other characteristics of deep feature representations
• Holographic complexity of rotating black holes
• Entanglement entropy and complexity of singular subregions in deformed CFT
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• Geometry of quantum complexity
• Holographic and QFT Complexity with angular momentum
• Switchback effect of holographic complexity in multiple-horizon black holes
• Purification Complexity without Purifications
• Arnol'd cat map lattices
• Computational Complexity in Analogue Gravity
• Finite complexity of the de Sitter vacuum
• Geometry of Entanglement
• Holographic Complexity in Charged Accelerating Black Holes
• Holographic Fisher Information Metric in Schrödinger Spacetime
• Complexity, chaos and the moving D3-brane
• Complexity of Magnetization and Magnetic Simplification
• Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ($0+1$)d
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Holographic complexity of the Klebanov-Strassler background
• Toward a physically motivated notion of Gaussian complexity geometry
• Extremal jumps of circuit complexity of unitary evolutions generated by random Hamiltonians
• Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
• Quantum chaos measures for Floquet dynamics
• Complexity of the Einstein-Born-Infeld-Massive Black holes
• Probe strings on AdS accelerating black holes
• A simple analysis of the mixed-state information metric in AdS${}_3$/CFT${}_2$
• Schwinger-Keldysh path integral formalism for a Quenched Quantum Inverted Oscillator
• Cost of holographic path integrals
• Holographic Interpretation of Relative State Complexity
• Circuit Complexity for Coherent-Thermal States in Bosonic String Theory
• Channel induced dynamics of quantum information in mixed state free QFTs
• Quantum Information Approaches to Quantum Gravity
• Black Hole Singularities from Holographic Complexity
• Holographic timelike entanglement and subregion complexity with scalar hair
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography
• Is monogamy of entanglement geometrical?
• Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
• Quantum Circuit Complexity as a Measure of Particle Creation in Bouncing Cosmologies
• Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry
• Time dependent Interface in AdS Black Hole Spacetime
• Developments in non-relativistic field theory and complexity
• Geometric measure of quantum complexity in cosmological systems