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 …

Avoiding barren plateaus using classical shadows

SH Sack, RA Medina, AA Michailidis, R Kueng… - PRX Quantum, 2022 - APS
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …

Shallow shadows: Expectation estimation using low-depth random Clifford circuits

C Bertoni, J Haferkamp, M Hinsche, M Ioannou… - Physical Review Letters, 2024 - APS
We provide practical and powerful schemes for learning properties of a quantum state using
a small number of measurements. Specifically, we present a randomized measurement …

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 …

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 …

[HTML][HTML] Analysing quantum systems with randomised measurements

P Cieśliński, S Imai, J Dziewior, O Gühne, L Knips… - Physics Reports, 2024 - Elsevier
Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

Nonequilibrium full counting statistics and symmetry-resolved entanglement from space-time duality

B Bertini, P Calabrese, M Collura, K Klobas… - Physical Review Letters, 2023 - APS
Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …

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) …

Experimental single-setting quantum state tomography

R Stricker, M Meth, L Postler, C Edmunds, C Ferrie… - PRX Quantum, 2022 - APS
Quantum computers solve ever more complex tasks using steadily growing system sizes.
Characterizing these quantum systems is vital, yet becoming increasingly challenging. The …