Infinite-randomness criticality in monitored quantum dynamics with static disorder

Abstract

We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random quantum circuits with spatially varying measurement rates. These circuits undergo a measurement-induced phase transition (MIPT) in their entanglement structure, but the nature of the critical point differs drastically from the case with constant measurement rate. In particular, at the critical measurement rate, we find that the entanglement of a subsystem of size $\ell$ scales as $S\sim \sqrt{\ell }$; moreover, the dynamical critical exponent $z=\infty$. The MIPT is flanked by Griffiths phases with continuously varying dynamical exponents. We argue for this infinite-randomness scenario on general grounds and present numerical evidence that it captures some features of the universal critical properties of MIPT using large-scale simulations of Clifford circuits. These findings demonstrate that the relevance and irrelevance of perturbations to the MIPT can naturally be interpreted using a powerful heuristic known as the Harris criterion.

arXiv comment(7 + 7) pages, (3 + 5) figures, (0 + 1) tables

References in corpus (59)

• Topological quantum memory
• Improved Simulation of Stabilizer Circuits
• Suppressing quantum errors by scaling a surface code logical qubit
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
• Measurement-driven entanglement transition in hybrid quantum circuits
• Quantum Simulators: Architectures and Opportunities
• Theory of the phase transition in random unitary circuits with measurements
• Measurement-induced criticality in random quantum circuits
• Instantaneous non-local computation of low T-depth quantum circuits
• The Heisenberg Representation of Quantum Computers
• Random Quantum Circuits
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Development of Quantum InterConnects for Next-Generation Information Technologies
• Dynamical purification phase transitions induced by quantum measurements
• Critical properties of the measurement-induced transition in random quantum circuits
• Strong disorder RG approach of random systems
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Entanglement in a fermion chain under continuous monitoring
• Scalable probes of measurement-induced criticality
• Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
• Entanglement transition from variable-strength weak measurements
• Emergent statistical mechanics of entanglement in random unitary circuits
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Quantum Computer Systems for Scientific Discovery
• Entanglement phase transitions in measurement-only dynamics
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits
• Entanglement Transitions from Holographic Random Tensor Networks
• Measurement Protected Quantum Phases
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Measurement-induced quantum criticality under continuous monitoring
• Measurement-induced criticality in (2+1)-d hybrid quantum circuits
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Conformal invariance and quantum non-locality in critical hybrid circuits
• Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
• Entanglement Transition in the Projective Transverse Field Ising Model
• Operator scaling dimensions and multifractality at measurement-induced transitions
• Symmetry enriched phases of quantum circuits
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Universality of entanglement transitions from stroboscopic to continuous measurements
• Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
• Dynamics of entanglement and transport in 1D systems with quenched randomness
• Measurement-induced entanglement transitions in many-body localized systems
• Topological order and criticality in (2+1)D monitored random quantum circuits
• A Quantum to Classical Phase Transition in Noisy Quantum Computers
• Measurement-induced dynamics of many-body systems at quantum criticality
• Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
• Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
• Measurement-induced phase transitions in quantum automaton circuits
• Entanglement on mixed stabiliser states--I: Normal Forms and Reduction Procedures
• Nonuniversal Entanglement Level Statistics in Projection-driven Quantum Circuits
• Critical Properties of Random Quantum Potts and Clock Models
• Entanglement entropy scaling transition under competing monitoring protocols
• Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains
• Strong disorder renormalization group primer and the superfluid-insulator transition
• Phases and dynamics of ultracold bosons in a tilted optical lattice
• Measurement-induced criticality in ${\mathbb{Z}}_2$-symmetric quantum automaton circuits
• Percolation in random environment

Cited by in corpus (19)

• Coherence requirements for quantum communication from hybrid circuit dynamics
• Purification Timescales in Monitored Fermions
• Measurement-induced transitions for interacting fermions
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Measurement induced criticality in quasiperiodic modulated random hybrid circuits
• Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Critical Properties of Weak Measurement Induced Phase Transitions in Random Quantum Circuits
• Measurement-induced phase transitions in systems with diffusive dynamics
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Random Quantum Circuits with Time-Reversal Symmetry
• Concomitant Entanglement and Control Criticality Driven by Collective Measurements
• Monitored Fluctuating Hydrodynamics
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Information Bounds on phase transitions in disordered systems
• Engineering entanglement geometry via spacetime-modulated measurements
• Noisy Monitored Quantum Circuits
• Disordered purification phase transition in hybrid random circuits