Random quantum circuits

MPA Fisher, V Khemani, A Nahum… - Annual Review of …, 2023 - annualreviews.org
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 …

Dynamical purification phase transition induced by quantum measurements

MJ Gullans, DA Huse - Physical Review X, 2020 - APS
Continuously monitoring the environment of a quantum many-body system reduces the
entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of …

Postselection-free entanglement dynamics via spacetime duality

M Ippoliti, V Khemani - Physical Review Letters, 2021 - APS
The dynamics of entanglement in “hybrid” nonunitary circuits (for example, involving both
unitary gates and quantum measurements) has recently become an object of intense study …

Fractal, logarithmic, and volume-law entangled nonthermal steady states via spacetime duality

M Ippoliti, T Rakovszky, V Khemani - Physical Review X, 2022 - APS
The extension of many-body quantum dynamics to the nonunitary domain has led to a series
of exciting developments, including new out-of-equilibrium entanglement phases and phase …

Spacetime duality between localization transitions and measurement-induced transitions

TC Lu, T Grover - PRX Quantum, 2021 - APS
Time evolution of quantum many-body systems typically leads to a state with maximal
entanglement allowed by symmetries. Two distinct routes to impede entanglement growth …

Dynamical purification and the emergence of quantum state designs from the projected ensemble

M Ippoliti, WW Ho - PRX Quantum, 2023 - APS
Quantum thermalization in a many-body system is defined by the approach of local
subsystems toward a universal form, describable as an ensemble of quantum states wherein …

[PDF][PDF] Nonequilibrium Dynamics of Charged Dual-Unitary Circuits

A Foligno, P Calabrese, B Bertini - PRX Quantum, 2025 - APS
The interplay between symmetries and entanglement in out-of-equilibrium quantum systems
is currently at the center of an intense multidisciplinary research effort. Here we introduce a …

Ergodic and nonergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension

PW Claeys, A Lamacraft - Physical Review Letters, 2021 - APS
Dual-unitary quantum circuits can be used to construct 1+ 1 dimensional lattice models for
which dynamical correlations of local observables can be explicitly calculated. We show …

Influence matrix approach to many-body Floquet dynamics

A Lerose, M Sonner, DA Abanin - Physical Review X, 2021 - APS
Recent experimental and theoretical works have made much progress toward
understanding nonequilibrium phenomena in thermalizing systems, which act as thermal …

Quantum information spreading in generalized dual-unitary circuits

A Foligno, P Kos, B Bertini - Physical Review Letters, 2024 - APS
We study the spreading of quantum information in a recently introduced family of brickwork
quantum circuits that generalizes the dual-unitary class. These circuits are unitary in time …