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 …

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 …

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 …

Quantum criticality under decoherence or weak measurement

JY Lee, CM Jian, C Xu - PRX quantum, 2023 - APS
Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

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 …

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 …

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 …

Effective theory for the measurement-induced phase transition of Dirac fermions

M Buchhold, Y Minoguchi, A Altland, S Diehl - Physical Review X, 2021 - APS
A wave function subject to unitary time evolution and exposed to measurements undergoes
pure state dynamics, with deterministic unitary and probabilistic measurement-induced state …

Measurement-induced topological entanglement transitions in symmetric random quantum circuits

A Lavasani, Y Alavirad, M Barkeshli - Nature Physics, 2021 - nature.com
Random quantum circuits, in which an array of qubits is subjected to a series of randomly
chosen unitary operations, have provided key insights into the dynamics of many-body …