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 …

[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 …

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 …

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) …

Measuring magic on a quantum processor

SFE Oliviero, L Leone, A Hamma, S Lloyd - npj Quantum Information, 2022‏ - nature.com
Magic states are the resource that allows quantum computers to attain an advantage over
classical computers. This resource consists in the deviation from a property called …

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 …

Optimal entanglement certification from moments of the partial transpose

XD Yu, S Imai, O Gühne - Physical Review Letters, 2021‏ - APS
For the certification and benchmarking of medium-size quantum devices, efficient methods
to characterize entanglement are needed. In this context, it has been shown that locally …

Characterizing entanglement dimensionality from randomized measurements

S Liu, Q He, M Huber, O Gühne, G Vitagliano - PRX Quantum, 2023‏ - APS
We consider the problem of detecting the dimensionality of entanglement with the use of
correlations between measurements in randomized directions. First, exploiting the recently …

Quantum scrambling with classical shadows

RJ Garcia, Y Zhou, A Jaffe - Physical Review Research, 2021‏ - APS
Quantum dynamics is of fundamental interest and has implications in quantum information
processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to …

Work fluctuations and entanglement in quantum batteries

S Imai, O Gühne, S Nimmrichter - Physical Review A, 2023‏ - APS
We consider quantum batteries given by composite interacting quantum systems in terms of
the thermodynamic work cost of local random unitary processes. We characterize quantum …