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 …

Group-invariant quantum machine learning

M Larocca, F Sauvage, FM Sbahi, G Verdon, PJ Coles… - PRX Quantum, 2022 - APS
Quantum machine learning (QML) models are aimed at learning from data encoded in
quantum states. Recently, it has been shown that models with little to no inductive biases (ie …

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 …

[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 …

Reflected entropy and computable cross-norm negativity: Free theories and symmetry resolution

C Berthiere, G Parez - Physical Review D, 2023 - APS
We investigate a separability criterion based on the computable cross-norm (CCNR), and a
related quantity called the CCNR negativity. We introduce a reflected version of the CCNR …

Collective randomized measurements in quantum information processing

S Imai, G Tóth, O Gühne - Physical Review Letters, 2024 - APS
The concept of randomized measurements on individual particles has proven to be useful
for analyzing quantum systems and is central for methods like shadow tomography of …

Universal entanglement and correlation measure in two-dimensional conformal field theories

C Yin, Z Liu - Physical Review Letters, 2023 - APS
We calculate the amount of entanglement shared by two intervals in the ground state of a
(1+ 1)-dimensional conformal field theory (CFT), quantified by an entanglement measure E …

A hybrid framework for estimating nonlinear functions of quantum states

Y Zhou, Z Liu - npj Quantum Information, 2024 - nature.com
Estimating nonlinear functions of quantum states, such as the moment tr (ρ m), is of
fundamental and practical interest in quantum science and technology. Here we show a …

Enhanced estimation of quantum properties with common randomized measurements

B Vermersch, A Rath, B Sundar, C Branciard, J Preskill… - PRX Quantum, 2024 - APS
We present a technique for enhancing the estimation of quantum state properties by
incorporating approximate prior knowledge about the quantum state. This consists in …

Predicting arbitrary state properties from single hamiltonian quench dynamics

Z Liu, Z Hao, HY Hu - Physical Review Research, 2024 - APS
Analog quantum simulation is an essential routine for quantum computing and plays a
crucial role in studying quantum many-body physics. Typically, the quantum evolution of an …