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 …

Observing the quantum Mpemba effect in quantum simulations

LK Joshi, J Franke, A Rath, F Ares, S Murciano… - Physical Review Letters, 2024 - APS
The nonequilibrium physics of many-body quantum systems harbors various unconventional
phenomena. In this Letter, we experimentally investigate one of the most puzzling of these …

Entanglement Hamiltonians: from field theory to lattice models and experiments

M Dalmonte, V Eisler, M Falconi… - Annalen der …, 2022 - Wiley Online Library
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in
field theory and statistical mechanics models, and recent applications in the context of …

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 …

Stabilizer rényi entropy

L Leone, SFE Oliviero, A Hamma - Physical Review Letters, 2022 - APS
We introduce a novel measure for the quantum property of “nonstabilizerness”—commonly
known as “magic”—by considering the Rényi entropy of the probability distribution …

Postselection-free entanglement dynamics via spacetime duality

M Ippoliti, V Khemani - Physical Review Letters, 2021 - APS
The dynamics of entanglement in “hybrid” nonunitary circuits (for example, involving both
unitary gates and quantum measurements) has recently become an object of intense study …

Entanglement barrier and its symmetry resolution: Theory and experimental observation

A Rath, V Vitale, S Murciano, M Votto, J Dubail… - PRX Quantum, 2023 - APS
The operator entanglement (OE) is a key quantifier of the complexity of a reduced density
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …

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 …

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) …