Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
arXiv:2405.05076 · doi:10.22331/q-2025-06-24-1783
Abstract
In this study, we explore the information capacity of open quantum systems, focusing on the effective channels formed by the subsystem of random quantum circuits and quantum Hamiltonian evolution. By analyzing the subsystem information capacity, which is closely linked to quantum coherent information of these effective quantum channels, we uncover a diverse range of dynamical and steady behaviors depending on the types of evolution. Therefore, the subsystem information capacity serves as a valuable tool for studying the intrinsic nature of various dynamical phases, such as integrable, localized, thermalized, and topological systems. We also reveal the impact of different initial information encoding schemes on information dynamics including one-to-one, one-to-many, and many-to-many. To support our findings, we provide representative examples for numerical simulations, including random quantum circuits with or without mid-circuit measurements, random Clifford Floquet circuits, free and interacting Aubry-André models, and Su-Schrieffer-Heeger models. These numerical results are further quantitatively explained using the effective statistical model mapping and the quasiparticle picture in the cases of random circuits and non-interacting Hamiltonian dynamics, respectively.
arXiv comment36 pages, 31 figures, accepted version by Quantum
References in corpus (138)
- Topological insulators and superconductors
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Variational Quantum Algorithms
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- A bound on chaos
- Barren plateaus in quantum neural network training landscapes
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Localization of interacting fermions at high temperature
- Comments on the Sachdev-Ye-Kitaev model
- Many-body localization, thermalization, and entanglement
- Noisy intermediate-scale quantum (NISQ) algorithms
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Improved Simulation of Stabilizer Circuits
- The many-body localization phase transition
- Black holes as mirrors: quantum information in random subsystems
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Ultimate physical limits to computation
- Fast Scramblers
- Unbounded growth of entanglement in models of many-body localization
- Many-body localization in a quantum simulator with programmable random disorder
- Complexity Equals Action
- The capacity of the noisy quantum channel
- Operator Spreading in Random Unitary Circuits
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Chaos in quantum channels
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quantum data processing and error correction
- Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
- Universal slow growth of entanglement in interacting strongly disordered systems
- Probing entanglement entropy via randomized measurements
- 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
- Universal dynamics and renormalization in many body localized systems
- Localization from Hilbert space shattering: from theory to physical realizations
- Theory of the phase transition in random unitary circuits with measurements
- Measurement-induced criticality in random quantum circuits
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Random Quantum Circuits
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Unitary-projective entanglement dynamics
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Many-Body Localization in a Quasiperiodic System
- Towards the fast scrambling conjecture
- Information transmission through a noisy quantum channel
- Dynamical purification phase transitions induced by quantum measurements
- Entanglement Tsunami: Universal Scaling in Holographic Thermalization
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- A Survey on Quantum Channel Capacities
- Scalable probes of measurement-induced criticality
- Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
- Information Scrambling in Computationally Complex Quantum Circuits
- Quantum Channel Capacity of Very Noisy Channels
- Out-of-Time-Order Correlation for Many-Body Localization
- Entanglement transition from variable-strength weak measurements
- Emergent statistical mechanics of entanglement in random unitary circuits
- Stark many-body localization
- Two universality classes for the many-body localization transition
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
- Does scrambling equal chaos?
- Statistical mechanics of quantum error correcting codes
- Hilbert-Space Fragmentation from Strict Confinement
- Postselection-free entanglement dynamics via spacetime duality
- On entanglement spreading in chaotic systems
- Self-Organized Error Correction in Random Unitary Circuits with Measurement
- Measurement-induced criticality in (2+1)-d hybrid quantum circuits
- Colloquium: Quantum and Classical Discrete Time Crystals
- Quantum circuit architecture search for variational quantum algorithms
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Out-of-time-order correlations in many-body localized and thermal phases
- Differentiable Quantum Architecture Search
- Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
- The power of random measurements: measuring Tr(ρ^n) on single copies of ρ
- Sub-ballistic growth of Rényi entropies due to diffusion
- The entanglement membrane in chaotic many-body systems
- TensorCircuit: a Quantum Software Framework for the NISQ Era
- Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
- Dynamics of entanglement and transport in 1D systems with quenched randomness
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Classical data compression with quantum side information
- Spacetime duality between localization transitions and measurement-induced transitions
- Dynamics of quantum information
- Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
- Entanglement dynamics in quantum many-body systems
- Measurement-induced phase transitions in -dimensional stabilizer circuits
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Symmetry restoration and quantum Mpemba effect in symmetric random circuits
- Universal properties of many-body localization transitions in quasiperiodic systems
- Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit
- Entanglement spreading in non-equilibrium integrable systems
- Entanglement Domain Walls in Monitored Quantum Circuits and the Directed Polymer in a Random Environment
- Scrambling is Necessary but Not Sufficient for Chaos
- Information Scrambling in Quantum Neural Networks
- Stark many-body localization: Evidence for Hilbert-space shattering
- Localization with random time-periodic quantum circuits
- Holographic entanglement negativity and replica symmetry breaking
- Entanglement growth in diffusive systems
- Scrambling Transition in a Radiative Random Unitary Circuit
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
- Experimental characterization of quantum many-body localization transition
- Capacities of Quantum Channels and How to Find Them
- Discrete time crystal enabled by Stark many-body localization
- Imaginary components of out-of-time correlators and information scrambling for navigating the learning landscape of a quantum machine learning model
- Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
- Quantum Information Scrambling in Quantum Many-body Scarred Systems
- Universal KPZ scaling in noisy hybrid quantum circuits
- Scrambling Ability of Quantum Neural Networks Architectures
- Probing many-body localization by excited-state VQE
- Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
- Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
- Noise-induced phase transitions in hybrid quantum circuits
- Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
- Entanglement dynamics in the many-body Hatano-Nelson model
- Training variational quantum algorithms with random gate activation
- Entanglement Growth and Minimal Membranes in Random Unitary Circuits
- Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
- Scrambling and Many-Body Localization in the XXZ-Chain
- Accurate optimal quantum error correction thresholds from coherent information
- Quantifying scrambling in quantum neural networks
- Negative tripartite mutual information after quantum quenches in integrable systems
- Quantum information spreading in random spin chains with topological order
- Mixing and localisation in random time-periodic quantum circuits of Clifford unitaries
- Absence of localization in two-dimensional Clifford circuits
- Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
- Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
- Dynamical phase transitions of information flow in random quantum circuits
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- Symmetry restoration and quantum Mpemba effect in many-body localization systems
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- Coherent information as a mixed-state topological order parameter of fermions
- Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
- Relaxation Critical Dynamics in Measurement-induced Phase Transitions
- Diagnosing chaos with projected ensembles of process tensors
- Noisy Monitored Quantum Circuits
- Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport