Random Quantum Circuits
arXiv:2207.14280 · doi:10.1146/annurev-conmatphys-031720-030658
Abstract
Quantum circuits -- built from local unitary gates and local measurements -- are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far-from-equilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as new dynamical phases in quantum systems that are monitored by an external observer. Quantum circuit dynamics is also topical in view of experimental progress in building digital quantum simulators that allow control of precisely these ingredients. Randomness in the circuit elements allows a high level of theoretical control, with a key theme being mappings between real-time quantum dynamics and effective classical lattice models or dynamical processes. Many of the universal phenomena that can be identified in this tractable setting apply to much wider classes of more structured many-body dynamics.
arXiv commentReview article for Annual Review of Condensed Matter Physics; comments welcome
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- Discrete time crystals detected by time-translation twist
- Deterministic quantum trajectory via imaginary time evolution
- Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
- Bridging Classical and Quantum Information Scrambling with the Operator Entanglement Spectrum
- Entanglement cost hierarchies in quantum fragmented mixed states
- Measurement-Induced Entanglement in Conformal Field Theory
- Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems
- Localization of information driven by stochastic resetting
- Coherence-induced deep thermalization transition in random permutation quantum dynamics
- Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
- Optimal quantum reservoir learning in proximity to universality
- Open-system dynamics in local Lindbladians with chaotic spectra
- Fractal structure of multipartite entanglement in monitored quantum circuits
- Entanglement transition in unitary system-bath dynamics
- Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
- Entanglement transition and suppression of critical phase of thermofield double state in monitored quantum circuit with unitary matrix gates
- Entanglement entropy scaling laws from fluctuations of non-conserved quantities
- Dynamical cluster-based strategy for improving tensor network algorithms in quantum circuit simulations
- Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
- Exact large deviations and emergent long-range correlations in sequential quantum East circuits
- Domain-wall melting in all-to-all QSSEP from random-matrix theory
- Rationally independent free fermions with local hopping
- Engineering entanglement geometry via spacetime-modulated measurements
- Information Bounds on phase transitions in disordered systems
- Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
- Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
- Measurement-induced entanglement in noisy 2D random circuits
- Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions
- Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
- Anticoncentration is (almost) all you need
- More global randomness from less-random local gates
- Entanglement transition in a cluster spin chain coupled with free spins
- Noisy Monitored Quantum Circuits
- Random quantum circuits, chaos and quantum thermalization
- 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-Equilibrium Quantum Many-Body Physics with Quantum Circuits
- Roughening Transition in Quantum Circuits
- General many-body entanglement swapping protocol: opportunities for distributed quantum computing
- Quantum entropy thermalization
- The universality class of the first levels in low-dimensional gravity
- Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
- Characterizing quantum dynamics using multipartite entanglement generation
- Disordered purification phase transition in hybrid random circuits
- Control-driven critical fluctuations across quantum trajectories
- Vanishing correlations in stochastic and bistochastic controlled circuits