The randomized measurement toolbox

A Elben, ST Flammia, HY Huang, R Kueng… - Nature Reviews …, 2023 - nature.com
Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …

Provably efficient machine learning for quantum many-body problems

HY Huang, R Kueng, G Torlai, VV Albert, J Preskill - Science, 2022 - science.org
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

Probing Rényi entanglement entropy via randomized measurements

T Brydges, A Elben, P Jurcevic, B Vermersch, C Maier… - Science, 2019 - science.org
Entanglement is a key feature of many-body quantum systems. Measuring the entropy of
different partitions of a quantum system provides a way to probe its entanglement structure …

Topological order from measurements and feed-forward on a trapped ion quantum computer

M Iqbal, N Tantivasadakarn, TM Gatterman… - Communications …, 2024 - nature.com
Quantum systems evolve in time in one of two ways: through the Schrödinger equation or
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …

Mixed-state entanglement from local randomized measurements

A Elben, R Kueng, HY Huang, R van Bijnen, C Kokail… - Physical Review Letters, 2020 - APS
We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …

Symmetry-resolved entanglement detection using partial transpose moments

A Neven, J Carrasco, V Vitale, C Kokail… - npj Quantum …, 2021 - nature.com
We propose an ordered set of experimentally accessible conditions for detecting
entanglement in mixed states. The k-th condition involves comparing moments of the …

Quantum computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory

N Mueller, JA Carolan, A Connelly, Z Davoudi… - PRX Quantum, 2023 - APS
Strongly coupled gauge theories far from equilibrium may exhibit unique features that could
illuminate the physics of the early universe and of hadron and ion colliders. Studying real …

Rényi entropies from random quenches in atomic Hubbard and spin models

A Elben, B Vermersch, M Dalmonte, JI Cirac, P Zoller - Physical review letters, 2018 - APS
We present a scheme for measuring Rényi entropies in generic atomic Hubbard and spin
models using single copies of a quantum state and for partitions in arbitrary spatial …

Probing many-body quantum chaos with quantum simulators

LK Joshi, A Elben, A Vikram, B Vermersch, V Galitski… - Physical Review X, 2022 - APS
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

Symmetry-resolved dynamical purification in synthetic quantum matter

V Vitale, A Elben, R Kueng, A Neven, J Carrasco… - SciPost Physics, 2022 - scipost.org
When a quantum system initialized in a product state is subjected to either coherent or
incoherent dynamics, the entropy of any of its connected partitions generically increases as …