Measurement-induced criticality in random quantum circuits

Abstract

We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation of the entanglement entropies in such circuits onto a two-dimensional statistical mechanics model. In this language, the area- to volume-law entanglement transition can be interpreted as an ordering transition in the statistical mechanics model. We derive the general scaling properties of the entanglement entropies and mutual information near the transition using conformal invariance. We analyze in detail the limit of infinite on-site Hilbert space dimension in which the statistical mechanics model maps onto percolation. In particular, we compute the exact value of the universal coefficient of the logarithm of subsystem size in the $n$th Rényi entropies for $n\ge 1$ in this limit using relatively recent results for conformal field theory describing the critical theory of 2D percolation, and we discuss how to access the generic transition at finite on-site Hilbert space dimension from this limit, which is in a universality class different from 2D percolation. We also comment on the relation to the entanglement transition in Random Tensor Networks, studied previously in Ref. 1.

12 pages, 2 figures

References in corpus (52)

• Chaos and Quantum Thermalization
• Many body localization and thermalization in quantum statistical mechanics
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Many-body localization, thermalization, and entanglement
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• The many-body localization phase transition
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Quantum thermalization through entanglement in an isolated many-body system
• Many-body localization edge in the random-field Heisenberg chain
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Local conservation laws and the structure of the many-body localized states
• Operator Spreading in Random Unitary Circuits
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Many-body localization in a disordered quantum Ising chain
• Measurement-driven entanglement transition in hybrid quantum circuits
• Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Area laws in a many-body localized state and its implications for topological order
• Theory of the phase transition in random unitary circuits with measurements
• Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
• Holographic duality from random tensor networks
• Unitary-projective entanglement dynamics
• Theory of the many-body localization transition in one dimensional systems
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• Critical Percolation in Finite Geometries
• A Universal Operator Growth Hypothesis
• Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
• Universal properties of many-body delocalization transitions
• Solution of a minimal model for many-body quantum chaos
• Entanglement transition from variable-strength weak measurements
• Emergent statistical mechanics of entanglement in random unitary circuits
• A criterion for many-body localization-delocalization phase transition
• Quantum Trajectories and Quantum Measurement Theory
• Spectral statistics in spatially extended chaotic quantum many-body systems
• Entanglement Transitions from Holographic Random Tensor Networks
• Critical Properties of the Many-Body Localization Transition
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Many-body delocalization as a quantum avalanche
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Spectral statistics and many-body quantum chaos with conserved charge
• Analytically solvable renormalization group for the many-body localization transition
• Kosterlitz-Thouless scaling at many-body localization phase transitions
• Scaling Theory of Entanglement at the Many-Body Localization Transition
• Entanglement dynamics in quantum many-body systems
• Many-body localization phase transition: A simplified strong-randomness approximate renormalization group
• Holographic coherent states from random tensor networks
• Bulk and boundary critical behaviour of thin and thick domain walls in the two-dimensional Potts model

Cited by in corpus (365)

• Theory of the phase transition in random unitary circuits with measurements
• Random Quantum Circuits
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Dynamical purification phase transitions induced by quantum measurements
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Scalable probes of measurement-induced criticality
• Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Entanglement phase transitions in measurement-only dynamics
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits
• Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions
• Statistical mechanics of quantum error correcting codes
• Measurement Protected Quantum Phases
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Postselection-free entanglement dynamics via spacetime duality
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Measurement-induced quantum criticality under continuous monitoring
• Self-Organized Error Correction in Random Unitary Circuits with Measurement
• Measurement-induced criticality in (2+1)-d hybrid quantum circuits
• Measurement-induced entanglement and teleportation on a noisy quantum processor
• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
• Entanglement and purification transitions in non-Hermitian quantum mechanics
• Conformal invariance and quantum non-locality in critical hybrid circuits
• SYK meets non-Hermiticity II: measurement-induced phase transition
• Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
• Efficient classical simulation of random shallow 2D quantum circuits
• Entanglement Transition in the Projective Transverse Field Ising Model
• Operator scaling dimensions and multifractality at measurement-induced transitions
• Computational advantage of quantum random sampling
• Fate of measurement-induced phase transition in long-range interactions
• The entanglement membrane in chaotic many-body systems
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
• Emergent conformal symmetry in non-unitary random dynamics of free fermions
• Universality of entanglement transitions from stroboscopic to continuous measurements
• Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
• Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
• Scrambling in Random Unitary Circuits: Exact Results
• Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• Measurement-induced entanglement transitions in many-body localized systems
• Topological order and criticality in (2+1)D monitored random quantum circuits
• Spacetime duality between localization transitions and measurement-induced transitions
• Measurement-induced dynamics of many-body systems at quantum criticality
• Spreading of correlations in Markovian open quantum systems
• Long-range entanglement from measuring symmetry-protected topological phases
• Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements
• Theory of free fermions under random projective measurements
• Emergent quantum state designs from individual many-body wavefunctions
• Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
• Efficient classical simulation of noisy random quantum circuits in one dimension
• Entanglement Negativity at Measurement-Induced Criticality
• Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Topological transitions with continuously monitored free fermions
• Measurement-induced steering of quantum systems
• Measurement-induced phase transitions in quantum automaton circuits
• Classical Shadow Tomography with Locally Scrambled Quantum Dynamics
• Coherent and dissipative dynamics at quantum phase transitions
• Nonuniversal Entanglement Level Statistics in Projection-driven Quantum Circuits
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit
• Random quantum circuits anti-concentrate in log depth
• Measurements conspire nonlocally to restructure critical quantum states
• Dynamical purification and the emergence of quantum state designs from the projected ensemble
• Cross Entropy Benchmark for Measurement-Induced Phase Transitions
• Mean-field entanglement transitions in random tree tensor networks
• Nonlinear sigma models for monitored dynamics of free fermions
• Quantum criticality in the nonunitary dynamics of $(2+1)$-dimensional free fermions
• Entanglement dynamics in hybrid quantum circuits
• Entanglement entropy scaling transition under competing monitoring protocols
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Measurement-induced phase transition for free fermions above one dimension
• Entanglement Domain Walls in Monitored Quantum Circuits and the Directed Polymer in a Random Environment
• Controlling entanglement at absorbing state phase transitions in random circuits
• Phase transition in magic with random quantum circuits
• Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula
• Transitions in the learnability of global charges from local measurements
• Quantum coding with low-depth random circuits
• Universality in driven open quantum matter
• Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States
• Disordered monitored free fermions
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
• Enhanced entanglement negativity in boundary driven monitored fermionic chains
• Measurement-induced criticality as a data-structure transition
• Bath-induced Zeno localization in driven many-body quantum systems
• Dynamical Magic Transitions in Monitored Clifford+T Circuits
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
• Scrambling Transition in a Radiative Random Unitary Circuit
• Entanglement phase transitions in random stabilizer tensor networks
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Measurement-induced purification in large-N hybrid Brownian circuits
• Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
• Entanglement in one-dimensional critical state after measurements
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Probing post-measurement entanglement without post-selection
• Purification Timescales in Monitored Fermions
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Dynamics of measured many-body quantum chaotic systems
• Critical phase and spin sharpening in SU(2)-symmetric monitored quantum circuits
• Charge fluctuation and charge-resolved entanglement in a monitored quantum circuit with $U(1)$ symmetry
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Simulating a measurement-induced phase transition for trapped ion circuits
• Dissipative quasi-particle picture for quadratic Markovian open quantum systems
• Measurement-altered Ising quantum criticality
• Topological order and entanglement dynamics in the measurement-only XZZX quantum code
• Triviality of quantum trajectories close to a directed percolation transition
• Integrable nonunitary open quantum circuits
• Localization properties in disordered quantum many-body dynamics under continuous measurement
• Probing sign structure using measurement-induced entanglement
• Yang-Lee edge singularity triggered entanglement transition
• Many-body quantum chaos and emergence of Ginibre ensemble
• Channeling quantum criticality
• Entanglement and Absorbing-State Transitions in Interactive Quantum Dynamics
• Nonlocality and entanglement in measured critical quantum Ising chains
• Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage
• Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Full Counting Statistics of Charge in Chaotic Many-body Quantum Systems
• Markovian Entanglement Dynamics under Locally Scrambled Quantum Evolution
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
• Measurement-Driven Phase Transition within a Volume-Law Entangled Phase
• Neural-Network Decoders for Measurement Induced Phase Transitions
• Measurement-induced phase transitions on dynamical quantum trees
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Non-Hermitian topology in monitored quantum circuits
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Universal KPZ scaling in noisy hybrid quantum circuits
• Measurement-induced phases of matter require feedback
• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Finite-time teleportation phase transition in random quantum circuits
• Measurement-induced transitions beyond Gaussianity: a single particle description
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• Many-Body Quantum Chaos and Space-time Translational Invariance
• An entanglement asymmetry study of black hole radiation
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Keldysh Nonlinear Sigma Model for a Free-Fermion Gas under Continuous Measurements
• Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
• Measurement induced entanglement transition in two dimensional shallow circuit
• Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits
• Measurement-induced transitions for interacting fermions
• Decodable hybrid dynamics of open quantum systems with Z_2 symmetry
• Entanglement phase transitions in non-Hermitian quasicrystals
• Hydrodynamics as the effective field theory of strong-to-weak spontaneous symmetry breaking
• Monitored fermions with conserved $\mathrm{U}(1)$ charge
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Infinite-randomness criticality in monitored quantum dynamics with static disorder
• Measurement-induced phase transitions in sparse nonlocal scramblers
• Noise-induced phase transitions in hybrid quantum circuits
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Quantum Mpemba Effects from Symmetry Perspectives
• Measurement-induced criticality in ${\mathbb{Z}}_2$-symmetric quantum automaton circuits
• Interactions and integrability in weakly monitored Hamiltonian systems
• Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows
• Unitary long-time evolution with quantum renormalization groups and artificial neural networks
• Surface codes, quantum circuits, and entanglement phases
• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• Entanglement dynamics with string measurement operators
• Multifractality in non-unitary random dynamics
• Evolution of many-body systems under ancilla quantum measurements
• Measurement induced transitions in non-Markovian free fermion ladders
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• Observing quantum measurement collapse as a learnability phase transition
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Entanglement Dynamics of Noisy Random Circuits
• Absence of measurement-induced entanglement transition due to feedback-induced skin effect
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection
• Robust teleportation of a surface code and cascade of topological quantum phase transitions
• Exponential shortcut to measurement-induced entanglement phase transitions
• Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings
• System-environment entanglement phase transitions
• Bridging the gap between classical and quantum many-body information dynamics
• Stirring by Staring: Measurement Induced Chirality
• Measurement-induced phase transitions in the toric code
• Boundary transfer matrix spectrum of measurement-induced transitions
• Designing open quantum systems with known steady states: Davies generators and beyond
• Ultrafast Entanglement Dynamics in Monitored Quantum Circuits
• Efficient sampling of noisy shallow circuits via monitored unraveling
• Experimental demonstration of scalable cross-entropy benchmarking to detect measurement-induced phase transitions on a superconducting quantum processor
• Three-fold way of entanglement dynamics in monitored quantum circuits
• Robustness of quantum chaos and anomalous relaxation in open quantum circuits
• Emergent Symmetry in Brownian SYK Models and Charge Dependent Scrambling
• Computing exact moments of local random quantum circuits via tensor networks
• Real-time correlators in chaotic quantum many-body systems
• Chaos and magic in the dissipative quantum kicked top
• Entanglement Features of Random Neural Network Quantum States
• Higher-form Symmetries under Weak Measurement
• Renormalization group for measurement and entanglement phase transitions
• Field theory of monitored, interacting fermion dynamics with charge conservation
• Measurement induced criticality in quasiperiodic modulated random hybrid circuits
• Entanglement Transitions in Unitary Circuit Games
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• Classifying One-Dimensional Quantum States Prepared by a Single Round of Measurements
• The impact of different unravelings in a monitored system of free fermions
• Localization, fractality, and ergodicity in a monitored qubit
• Conformal Field Theories generated by Chern Insulators under Quantum Decoherence
• Universal structure of measurement-induced information in many-body ground states
• Charge and Entanglement Criticality in a U(1)-Symmetric Hybrid Circuit of Qubits
• Statistical Mechanics of Monitored Dissipative Random Circuits
• Entanglement and absorbing state transitions in $(d+1)$-dimensional stabilizer circuits
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Coarse-grained Entanglement and Operator Growth in Anomalous Dynamics
• Production of lattice gauge-Higgs topological states in measurement-only quantum circuit
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Entanglement phase transition with spin glass criticality
• A Dyson Brownian motion model for weak measurements in chaotic quantum systems
• Purification and scrambling in a chaotic Hamiltonian dynamics with measurements
• Nonstabilizerness of a Boundary Time Crystal
• Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
• Quantum simulation using noisy unitary circuits and measurements
• Multi-Region Entanglement in Locally Scrambled Quantum Dynamics
• Measurement-induced entanglement phase transitions in variational quantum circuits
• Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
• Noisy monitored quantum dynamics of ergodic multi-qubit systems
• Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
• Measurement-induced multipartite-entanglement regimes in collective spin systems
• Universal Properties of the Spectral Form Factor in Open Quantum Systems
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• Bulk-Measurement-Induced Boundary Phase Transition in Toric Code and Gauge-Higgs Model
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Bath induced phase transition in a Luttinger liquid
• Decoding the Projective Transverse Field Ising Model
• Feedback cooled Bose-Einstein condensation: near and far from equilibrium
• Fisher zeros and persistent temporal oscillations in non-unitary quantum circuits
• Entanglement swapping in critical quantum spin chains
• Optimized trajectory unraveling for classical simulation of noisy quantum dynamics
• Perturbative stability and error correction thresholds of quantum codes
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• Steering-induced phase transition in measurement-only quantum circuits
• Optimality of Lindblad unfolding in measurement phase transitions
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Exactly solvable non-unitary time evolution in quantum critical systems I: Effect of complex spacetime metrics
• Strong-to-weak Symmetry Breaking and Entanglement Transitions
• Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Spacetime picture for entanglement generation in noisy fermion chains
• Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuit
• A Solvable Model of Quantum Darwinism-Encoding Transitions
• Sign problem in tensor network contraction
• Random insights into the complexity of two-dimensional tensor network calculations
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Entanglement dynamics in U(1) symmetric hybrid quantum automaton circuits
• Protect Measurement-Induced Phase Transition from Noise
• Entanglement transitions induced by quantum-data collection
• Entanglement structure in the volume-law phase of hybrid quantum automaton circuits
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Decoherence through Ancilla Anyon Reservoirs
• Local and nonlocal stochastic control of quantum chaos: Measurement- and control-induced criticality
• Non-Abelian entanglement asymmetry in random states
• Complex entanglement entropy for complex conformal field theory
• Measurement-induced phase transition in free bosons
• Self-dual quasiperiodic percolation
• Quantum complexity phase transitions in monitored random circuits
• Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
• Feedback-induced interactive dynamics: unitary but dissipative evolution
• Phase transition in von Neumann entanglement entropy from replica symmetry breaking
• Decoding the Entanglement Structure of Monitored Quantum Circuits
• Designs from magic-augmented Clifford circuits
• Onset of scrambling as a dynamical transition in tunable-range quantum circuits
• The Measurement-induced Transition in Long-range Interacting Quantum Circuits
• Boundary transitions from a single round of measurements on gapless quantum states
• Critical Properties of Weak Measurement Induced Phase Transitions in Random Quantum Circuits
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits
• Triggering Boundary Phase Transitions through Bulk Measurements in 2D Cluster States
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Entanglement phase transitions in non-Hermitian Kitaev chains
• Charge and Spin Sharpening Transitions on Dynamical Quantum Trees
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Topological Modes in Monitored Quantum Dynamics
• Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
• Petz map recovery for long-range entangled quantum many-body states
• Bulk and boundary entanglement transitions in the projective gauge-Higgs model
• Measurement Induced Chirality II: Diffusion and Disorder
• Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
• Field theory for monitored Brownian SYK clusters
• Localization induced by spatially uncorrelated subohmic baths in one dimension
• Subsystem symmetry, spin glass order, and criticality from random measurements in a two-dimensional Bacon-Shor circuit
• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Measurement-only dynamical phase transition of topological and boundary order in toric code and gauge-Higgs models
• Multifractality in monitored single-particle dynamics
• Topology and Spectrum in Measurement-Induced Phase Transitions
• Multipartite entanglement structure of monitored quantum circuits
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics
• Entanglement transitions from restricted Boltzmann machines
• Variational post-selection for ground states and thermal states simulation
• Measurement-Driven Transitions between Area Law Phases
• Rise and fall of nonstabilizerness via random measurements
• Exact spectral gaps of random one-dimensional quantum circuits
• Probing Defects with Quantum Simulator Snapshots
• Quench dynamics of entanglement entropy under projective charge measurements: the free fermion case
• Random Quantum Circuits with Time-Reversal Symmetry
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits
• Purification Dynamics in a Continuous-time Hybrid Quantum Circuit Model
• Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian
• Coherent Information Phase Transition in a Noisy Quantum Circuit
• Hierarchy of emergent cluster states by measurement from symmetry-protected-topological states with large symmetry to subsystem cat state
• Origin and Limit of the Recovery of Damaged Information by Time Reversal
• Solvable Quantum Circuits in Tree+1 Dimensions
• Monitored Fluctuating Hydrodynamics
• Spectral Statistics of Non-Hermitian Matrices and Dissipative Quantum Chaos
• Uncovering measurement-induced entanglement via directional adaptive dynamics and incomplete information
• Quantum Entanglement Phase Transitions and Computational Complexity: Insights from Ising Models
• Entanglement behavior and localization properties in monitored fermion systems
• Noise resilience in adaptive and symmetric monitored quantum circuits
• Dynamically generated concatenated codes and their phase diagrams
• Quantum-limited generalized measurement for tunnel-coupled condensates
• Exact, Average, and Broken Symmetries in a Simple Adaptive Monitored Circuit
• Relaxation Critical Dynamics in Measurement-induced Phase Transitions
• Quantum Darwinism-encoding transitions on expanding trees
• $\nu$-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Universality classes for purification in nonunitary quantum processes
• Long-range multipartite entanglement near measurement-induced transitions
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Elusive phase transition in the replica limit of monitored systems
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Error Mitigation Thresholds in Noisy Random Quantum Circuits
• Identifying Entanglement Phases with Bipartite Projected Ensembles
• Multipartite Greenberger-Horne-Zeilinger Entanglement in Monitored Random Clifford Circuits
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Multipartite entanglement structures in quantum stabilizer states
• Symmetry and Topology of Monitored Quantum Dynamics
• Field theory of charge sharpening in symmetric monitored quantum circuits
• Exact solution to a Bhatnagar-Gross-Krook-type equation for quantum lattice gases with dephasing noise
• Symmetric tensor scars with tunable entanglement from volume to area law
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Neural network enhanced cross entropy benchmark for monitored circuits
• Attention to Quantum Complexity
• Sampling and the complexity of nature
• Plaquette Models, Cellular Automata, and Measurement-induced Criticality
• Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
• Measurement-Induced Entanglement in Conformal Field Theory
• Fractal structure of multipartite entanglement in monitored quantum circuits
• Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
• Competing automorphisms and disordered Floquet codes
• Measurement-induced criticality in extended and long-range unitary circuits
• Frustration-Free Control and Absorbing-State Transport in Entangled State Preparation
• Entanglement Phase Transition in Chaotic non-Hermitian Systems
• Finite-size scalings in measurement-induced dynamical phase transition
• Moments of Quantum Channel Ensembles
• Noisy Monitored Quantum Circuits
• Measurement-and Feedback-Driven Non-Equilibrium Phase Transitions on a Quantum Processor
• Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
• Non-commutative Index of Measurement-only Entanglement Phase Transition
• Roughening Transition in Quantum Circuits
• Phase Transition of Topological Index driven by Dephasing
• Robustness of a state with Ising topological order against local projective measurements
• Inverse Superconductor-Insulator Transition in Weakly Monitored Josephson Junction Arrays
• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
• Engineering entanglement geometry via spacetime-modulated measurements
• Phase Transitions in the Classical Simulability of Open Quantum Systems
• Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
• Classical simulation of noisy quantum circuits via locally entanglement-optimal unravelings
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions