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 …

Many-body localization in the age of classical computing

P Sierant, M Lewenstein, A Scardicchio… - Reports on Progress …, 2025 - iopscience.iop.org
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Measurement-induced criticality in random quantum circuits

CM Jian, YZ You, R Vasseur, AWW Ludwig - Physical Review B, 2020 - APS
We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …

Measurement-driven entanglement transition in hybrid quantum circuits

Y Li, X Chen, MPA Fisher - Physical Review B, 2019 - APS
In this paper we continue to explore “hybrid” quantum circuit models in one-dimension with
both unitary and measurement gates, focusing on the entanglement properties of wave …

Scrambling is necessary but not sufficient for chaos

N Dowling, P Kos, K Modi - Physical Review Letters, 2023 - APS
We show that out-of-time-order correlators (OTOCs) constitute a probe for local-operator
entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful …

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 …

Measurement-induced criticality in -dimensional hybrid quantum circuits

X Turkeshi, R Fazio, M Dalmonte - Physical Review B, 2020 - APS
We investigate the dynamics of two-dimensional quantum spin systems under the combined
effect of random unitary gates and local projective measurements. When considering steady …

Exact emergent quantum state designs from quantum chaotic dynamics

WW Ho, S Choi - Physical Review Letters, 2022 - APS
We present exact results on a novel kind of emergent random matrix universality that
quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an …

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 …