Quantum entanglement in neural network states

DL Deng, X Li, S Das Sarma - Physical Review X, 2017 - APS
Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …

Chaos and complexity by design

DA Roberts, B Yoshida - Journal of High Energy Physics, 2017 - Springer
A bstract We study the relationship between quantum chaos and pseudorandomness by
developing probes of unitary design. A natural probe of randomness is the “frame poten-tial,” …

Quantifying nonstabilizerness through entanglement spectrum flatness

E Tirrito, PS Tarabunga, G Lami, T Chanda, L Leone… - Physical Review A, 2024 - APS
Nonstabilizerness, also colloquially referred to as magic, is a resource for advantage in
quantum computing and lies in the access to non-Clifford operations. Developing a …

Quantum chaos is quantum

L Leone, SFE Oliviero, Y Zhou, A Hamma - Quantum, 2021 - quantum-journal.org
It is well known that a quantum circuit on $ N $ qubits composed of Clifford gates with the
addition of $ k $ non Clifford gates can be simulated on a classical computer by an algorithm …

Learning efficient decoders for quasichaotic quantum scramblers

L Leone, SFE Oliviero, S Lloyd, A Hamma - Physical Review A, 2024 - APS
Scrambling of quantum information is an important feature at the root of randomization and
benchmarking protocols, the onset of quantum chaos, and black-hole physics. Unscrambling …

Early breakdown of area-law entanglement at the many-body delocalization transition

T Devakul, RRP Singh - Physical review letters, 2015 - APS
We introduce the numerical linked cluster expansion as a controlled numerical tool for the
study of the many-body localization transition in a disordered system with continuous …

Thermalization of gauge theories from their entanglement spectrum

N Mueller, TV Zache, R Ott - Physical Review Letters, 2022 - APS
Using dual theories embedded into a larger unphysical Hilbert space along entanglement
cuts, we study the entanglement structure of Z 2 lattice gauge theory in (2+ 1) spacetime …

Nonuniversal entanglement level statistics in projection-driven quantum circuits

L Zhang, JA Reyes, S Kourtis, C Chamon, ER Mucciolo… - Physical Review B, 2020 - APS
We study the level-spacing statistics in the entanglement spectrum of output states of
random universal quantum circuits where qubits are subject to a finite probability of …

Stabilizer entropy dynamics after a quantum quench

D Rattacaso, L Leone, SFE Oliviero, A Hamma - Physical Review A, 2023 - APS
Stabilizer entropies (SE) measure deviations from stabilizer resources and as such are a
fundamental ingredient for quantum advantage. In particular, the interplay of SE and …

Phase transition in stabilizer entropy and efficient purity estimation

L Leone, SFE Oliviero, G Esposito, A Hamma - Physical Review A, 2024 - APS
Stabilizer entropy (SE) quantifies the spread of a state in the basis of Pauli operators. It is a
computationally tractable measure of nonstabilizerness and thus a useful resource for …