Exact dynamics in dual-unitary quantum circuits with projective measurements

Abstract

Dual-unitary circuits have emerged as a minimal model for chaotic quantum many-body dynamics in which the dynamics of correlations and entanglement remains tractable. Simultaneously, there has been intense interest in the effect of measurements on the dynamics of quantum information in many-body systems. In this work we introduce a class of models combining dual-unitary circuits with particular projective measurements that allow the exact computation of dynamical correlations of local observables, entanglement growth, and steady-state entanglement. We identify a symmetry preventing a measurement-induced phase transition and present exact results for the intermediate critical purification phase.

arXiv comment6+6 pages

References in corpus (45)

• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Operator Spreading in Random Unitary Circuits
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Measurement-driven entanglement transition in hybrid quantum circuits
• Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
• Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
• Unitary-projective entanglement dynamics
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Dynamical purification phase transitions induced by quantum measurements
• Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
• Information Scrambling in Computationally Complex Quantum Circuits
• Solution of a minimal model for many-body quantum chaos
• Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
• Exact dynamics in dual-unitary quantum circuits
• Postselection-free entanglement dynamics via spacetime duality
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Unitary circuits of finite depth and infinite width from quantum channels
• Spectral statistics and many-body quantum chaos with conserved charge
• Operator scaling dimensions and multifractality at measurement-induced transitions
• Sub-ballistic growth of Rényi entropies due to diffusion
• Ergodic and non-ergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension
• Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
• Scrambling in Random Unitary Circuits: Exact Results
• Spacetime duality between localization transitions and measurement-induced transitions
• Exact emergent quantum state designs from quantum chaotic dynamics
• Maximum velocity quantum circuits
• Influence matrix approach to many-body Floquet dynamics
• Local pairing of Feynman histories in many-body Floquet models
• From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy
• Creating ensembles of dual unitary and maximally entangling quantum evolutions
• Temporal entanglement, quasiparticles and the role of interactions
• Random Matrix Spectral Form Factor of Dual-Unitary Quantum Circuits
• Computational power of one- and two-dimensional dual-unitary quantum circuits
• Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula
• Eigenstate thermalization in dual-unitary quantum circuits: Asymptotics of spectral functions
• Entanglement Barriers in Dual-Unitary Circuits
• Maximal entanglement velocity implies dual unitarity
• Chaos and Ergodicity in Extended Quantum Systems with Noisy Driving
• Construction and the ergodicity properties of dual unitary quantum circuits
• Exact local correlations in kicked chains at light cone edges
• Biunitary constructions in quantum information
• Many Body Quantum Chaos and Dual Unitarity Round-a-Face
• Tri-unitary quantum circuits

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• Growth of entanglement of generic states under dual-unitary dynamics
• From Dual Unitarity to Generic Quantum Operator Spreading
• Crystalline Quantum Circuits
• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• Quantum Many-Body Scars in Dual-Unitary Circuits
• Exponential shortcut to measurement-induced entanglement phase transitions
• Boundary transfer matrix spectrum of measurement-induced transitions
• From dual-unitary to biunitary: a 2-categorical model for exactly-solvable many-body quantum dynamics
• Exactly solvable many-body dynamics from space-time duality
• A Dyson Brownian motion model for weak measurements in chaotic quantum systems
• Solvable entanglement dynamics in quantum circuits with generalized space-time duality
• Exact Hidden Markovian Dynamics in Quantum Circuits
• Eigenstate Correlations in Dual-Unitary Quantum Circuits: Partial Spectral Form Factor
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Fundamental charges for dual-unitary circuits
• Dual unitaries as maximizers of the distance to local product gates
• Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics
• Quantum complexity phase transitions in monitored random circuits
• Critical Properties of Weak Measurement Induced Phase Transitions in Random Quantum Circuits
• Exact Correlation Functions for Dual-Unitary Quantum circuits with exceptional points
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Entangling power, gate typicality, and measurement-induced phase transitions
• Solvable Quantum Circuits in Tree+1 Dimensions
• Geometric constructions of generalized dual-unitary circuits from biunitarity
• Elusive phase transition in the replica limit of monitored systems
• Entanglement structure for finite system under dual-unitary dynamics