Dynamical phase transitions of information flow in random quantum circuits
arXiv:2304.01256 · doi:10.1103/PhysRevResearch.5.L042043
Abstract
We study how the information flows in many-body dynamics governed by random quantum circuits and discover a rich set of dynamical phase transitions in this information flow. The phase transition points and their critical exponents are established across Clifford and Haar random circuits through finite-size scaling. The flow of both classical and quantum information, measured respectively by Holevo and coherent information, shows similar dynamical phase transition behaviors. We investigate how the phase transitions depend on the initial location of the information and the final probe region, and find ubiquitous behaviors in these transitions, revealing interesting properties about the information propagation and scrambling in this quantum many-body model. Our work underscores rich behaviors of the information flow in large systems with numerous phase transitions, thereby sheds new light on the understanding of quantum many-body dynamics.
arXiv comment11 pages, 12 figures
References in corpus (35)
- Many-body localization, thermalization, and entanglement
- Black holes and the butterfly effect
- Improved Simulation of Stabilizer Circuits
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- Quantum many-body scars
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Operator Spreading in Random Unitary Circuits
- Dynamical quantum phase transitions: a review
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quantum data processing and error correction
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Instantaneous non-local computation of low T-depth quantum circuits
- The Heisenberg Representation of Quantum Computers
- Jerusalem Lectures on Black Holes and Quantum Information
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Information transmission through a noisy quantum channel
- Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
- Thermodynamics of Quantum Jump Trajectories
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Quantum channels and their entropic characteristics
- Multiqubit Clifford groups are unitary 3-designs
- Dynamical phases and intermittency of the dissipative quantum Ising model
- Dynamics of quantum information
- The private capacity of quantum channels is not additive
- Dephrasure channel and superadditivity of coherent information
- A semi-classical limit for the many-body localization transition
- Dynamical phase transitions in sampling complexity
- Quantum Information Scrambling in Quantum Many-body Scarred Systems
- Evolution of entanglement spectra under generic quantum dynamics
- Signatures of information scrambling in the dynamics of the entanglement spectrum
- Information-Theoretic Memory Scaling in the Many-Body Localization Transition
- Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system