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 …

Developments in the tensor network—from statistical mechanics to quantum entanglement

K Okunishi, T Nishino, H Ueda - Journal of the Physical Society of …, 2022 - journals.jps.jp
Tensor networks (TNs) have become one of the most essential building blocks for various
fields of theoretical physics such as condensed matter theory, statistical mechanics …

Measurement-induced entanglement phase transition on a superconducting quantum processor with mid-circuit readout

JM Koh, SN Sun, M Motta, AJ Minnich - Nature Physics, 2023 - nature.com
Quantum many-body systems subjected to unitary evolution with the addition of interspersed
measurements exhibit a variety of dynamical phases that do not occur under pure unitary …

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 …

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-induced entanglement and teleportation on a noisy quantum processor

Nature, 2023 - nature.com
Measurement has a special role in quantum theory: by collapsing the wavefunction, it can
enable phenomena such as teleportation and thereby alter the 'arrow of time'that constrains …

Long-range entanglement from measuring symmetry-protected topological phases

N Tantivasadakarn, R Thorngren, A Vishwanath… - Physical Review X, 2024 - APS
A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory

A Nahum, S Roy, B Skinner, J Ruhman - PRX Quantum, 2021 - APS
A quantum many-body system whose dynamics includes local measurements at a nonzero
rate can be in distinct dynamical phases, with differing entanglement properties. We …

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 …

Measurement-induced phase transitions in the dynamics of entanglement

B Skinner, J Ruhman, A Nahum - Physical Review X, 2019 - APS
We define dynamical universality classes for many-body systems whose unitary evolution is
punctuated by projective measurements. In cases where such measurements occur …