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 …

Fracton phases of matter

M Pretko, X Chen, Y You - International Journal of Modern Physics …, 2020 - World Scientific
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

[HTML][HTML] Time-evolution methods for matrix-product states

S Paeckel, T Köhler, A Swoboda, SR Manmana… - Annals of Physics, 2019 - Elsevier
Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

Theory of the phase transition in random unitary circuits with measurements

Y Bao, S Choi, E Altman - Physical Review B, 2020 - APS
We present a theory of the entanglement transition tuned by measurement strength in qudit
chains evolved by random unitary circuits and subject to either weak or random projective …

Information scrambling in quantum circuits

X Mi, P Roushan, C Quintana, S Mandra, J Marshall… - Science, 2021 - science.org
Interactions in quantum systems can spread initially localized quantum information into the
exponentially many degrees of freedom of the entire system. Understanding this process …

Finite-temperature transport in one-dimensional quantum lattice models

B Bertini, F Heidrich-Meisner, C Karrasch, T Prosen… - Reviews of Modern …, 2021 - APS
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians

P Sala, T Rakovszky, R Verresen, M Knap, F Pollmann - Physical Review X, 2020 - APS
We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

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 …

Entanglement phase transitions in measurement-only dynamics

M Ippoliti, MJ Gullans, S Gopalakrishnan, DA Huse… - Physical Review X, 2021 - APS
Unitary circuits subject to repeated projective measurements can undergo an entanglement
phase transition (EPT) as a function of the measurement rate. This transition is generally …

Critical properties of the measurement-induced transition in random quantum circuits

A Zabalo, MJ Gullans, JH Wilson, S Gopalakrishnan… - Physical Review B, 2020 - APS
We numerically study the measurement-driven quantum phase transition of Haar-random
quantum circuits in 1+ 1 dimensions. By analyzing the tripartite mutual information we are …