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 …

Learning quantum systems

V Gebhart, R Santagati, AA Gentile, EM Gauger… - Nature Reviews …, 2023 - nature.com
The future development of quantum technologies relies on creating and manipulating
quantum systems of increasing complexity, with key applications in computation, simulation …

Introduction to Haar measure tools in quantum information: A beginner's tutorial

AA Mele - Quantum, 2024 - quantum-journal.org
The Haar measure plays a vital role in quantum information, but its study often requires a
deep understanding of representation theory, posing a challenge for beginners. This tutorial …

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 …

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 …

Benchmarking highly entangled states on a 60-atom analogue quantum simulator

AL Shaw, Z Chen, J Choi, DK Mark, P Scholl… - Nature, 2024 - nature.com
Quantum systems have entered a competitive regime in which classical computers must
make approximations to represent highly entangled quantum states,. However, in this …

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 …

Information-theoretic bounds on quantum advantage in machine learning

HY Huang, R Kueng, J Preskill - Physical Review Letters, 2021 - APS
We study the performance of classical and quantum machine learning (ML) models in
predicting outcomes of physical experiments. The experiments depend on an input …

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 …

Efficient estimation of Pauli observables by derandomization

HY Huang, R Kueng, J Preskill - Physical review letters, 2021 - APS
We consider the problem of jointly estimating expectation values of many Pauli observables,
a crucial subroutine in variational quantum algorithms. Starting with randomized …