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 …

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 …

Nonlinear sigma models for monitored dynamics of free fermions

M Fava, L Piroli, T Swann, D Bernard, A Nahum - Physical Review X, 2023 - APS
We derive field theory descriptions for measurement-induced phase transitions in free
fermion systems. We focus on a multiflavor Majorana chain, undergoing Hamiltonian …

Theory of free fermions under random projective measurements

I Poboiko, P Pöpperl, IV Gornyi, AD Mirlin - Physical Review X, 2023 - APS
We develop an analytical approach to the study of one-dimensional free fermions subject to
random projective measurements of local site occupation numbers, based on the Keldysh …

Entanglement and charge-sharpening transitions in U (1) symmetric monitored quantum circuits

U Agrawal, A Zabalo, K Chen, JH Wilson, AC Potter… - Physical Review X, 2022 - APS
Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of
measurements, stemming from the competition between scrambling unitary dynamics and …

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 …

Measurement-induced entanglement transitions in the quantum Ising chain: From infinite to zero clicks

X Turkeshi, A Biella, R Fazio, M Dalmonte, M Schiró - Physical Review B, 2021 - APS
We investigate measurement-induced phase transitions in the quantum Ising chain coupled
to a monitoring environment. We compare two different limits of the measurement problem …

Measurement-induced criticality in extended and long-range unitary circuits

S Sharma, X Turkeshi, R Fazio, M Dalmonte - SciPost Physics Core, 2022 - scipost.org
We explore the dynamical phases of unitary Clifford circuits with variable-range interactions,
coupled to a monitoring environment. We investigate two classes of models, distinguished …

Quantum entanglement in the Sachdev—Ye—Kitaev model and its generalizations

P Zhang - Frontiers of Physics, 2022 - Springer
Entanglement is one of the most important concepts in quantum physics. We review recent
progress in understanding the quantum entanglement in many-body systems using large-N …

Majorana loop models for measurement-only quantum circuits

K Klocke, M Buchhold - Physical Review X, 2023 - APS
Projective measurements in random quantum circuits lead to a rich breadth of entanglement
phases and extend the realm of nonunitary quantum dynamics. Here, we explore the …