Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits

Abstract

The interplay between unitary dynamics and local quantum measurements results in unconventional non-unitary dynamical phases and transitions. In this paper we investigate the dynamics of $(d+1)$-dimensional hybrid stabilizer circuits, for $d=1,2,3$. We characterize the measurement-induced phases and their transitions using large-scale numerical simulations focusing on entanglement measures, purification dynamics, and wave-function structure. Our findings demonstrate the measurement-induced transition in $(d+1)$ spatiotemporal dimensions is conformal and close to the percolation transition in $(d+1)$ spatial dimensions.

19pp, 16 figs, comments welcome!

References in corpus (15)

• Quantum trajectories and open many-body quantum systems
• High-fidelity projective readout of a solid-state spin quantum register
• Critical properties of the measurement-induced transition in random quantum circuits
• Observation of quantum jumps in a superconducting artificial atom
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Ergodicity breaking in a model showing many-body localization
• Ground state entanglement and geometric entropy in the Kitaev's model
• Remarks on the entanglement entropy for disconnected regions
• Postselection-free entanglement dynamics via spacetime duality
• Entanglement Transition in the Projective Transverse Field Ising Model
• Participation spectroscopy and entanglement Hamiltonian of quantum spin models
• Transitions in the learnability of global charges from local measurements
• Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
• Functional RG approach to the Potts model
• Surface and bulk criticality in midpoint percolation

Cited by in corpus (72)

• Controlling entanglement at absorbing state phase transitions in random circuits
• Measuring nonstabilizerness via multifractal flatness
• Disordered monitored free fermions
• Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States
• Universality in driven open quantum matter
• Dynamical Magic Transitions in Monitored Clifford+T Circuits
• Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution
• Purification Timescales in Monitored Fermions
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Entanglement-magic separation in hybrid quantum circuits
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• 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
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• First detection probability in quantum resetting via random projective measurements
• Interactions and integrability in weakly monitored Hamiltonian systems
• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• Measurement induced transitions in non-Markovian free fermion ladders
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Hilbert space delocalization under random unitary circuits
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Boundary transfer matrix spectrum of measurement-induced transitions
• Efficient sampling of noisy shallow circuits via monitored unraveling
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain
• Chaos and magic in the dissipative quantum kicked top
• Entanglement Transitions in Unitary Circuit Games
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• The impact of different unravelings in a monitored system of free fermions
• Monitored long-range interacting systems: spin-wave theory for quantum trajectories
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Entanglement and absorbing state transitions in $(d+1)$-dimensional stabilizer circuits
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Nonstabilizerness of a Boundary Time Crystal
• Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Steering-induced phase transition in measurement-only quantum circuits
• Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
• Entanglement transitions induced by quantum-data collection
• Near-Term Spin-Qubit Architecture Design via Multipartite Maximally-Entangled States
• Protect Measurement-Induced Phase Transition from Noise
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits
• Bulk and boundary entanglement transitions in the projective gauge-Higgs model
• Entanglement phase transitions in non-Hermitian Kitaev chains
• Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks
• Measurement-induced phase transitions in systems with diffusive dynamics
• Multipartite entanglement structure of monitored quantum circuits
• Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics
• Subsystem symmetry, spin glass order, and criticality from random measurements in a two-dimensional Bacon-Shor circuit
• Telling different unravelings apart via nonlinear quantum-trajectory averages
• Relaxation Critical Dynamics in Measurement-induced Phase Transitions
• Elusive phase transition in the replica limit of monitored systems
• Entanglement behavior and localization properties in monitored fermion systems
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Multipartite Greenberger-Horne-Zeilinger Entanglement in Monitored Random Clifford Circuits
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
• Quantum conditional mutual information as a probe of measurement-induced entanglement phase transitions
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Fractal structure of multipartite entanglement in monitored quantum circuits
• Entanglement transition in unitary system-bath dynamics
• Multipartite entanglement structures in quantum stabilizer states
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
• Information Bounds on phase transitions in disordered systems
• Noisy Monitored Quantum Circuits
• Measurement-induced entanglement in noisy 2D random circuits
• Non-commutative Index of Measurement-only Entanglement Phase Transition