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 …

Predicting many properties of a quantum system from very few measurements

HY Huang, R Kueng, J Preskill - Nature Physics, 2020 - nature.com
Predicting the properties of complex, large-scale quantum systems is essential for
develo** quantum technologies. We present an efficient method for constructing an …

[HTML][HTML] Gate set tomography

E Nielsen, JK Gamble, K Rudinger, T Scholten… - Quantum, 2021 - quantum-journal.org
Gate set tomography (GST) is a protocol for detailed, predictive characterization of logic
operations (gates) on quantum computing processors. Early versions of GST emerged …

Exponential separations between learning with and without quantum memory

S Chen, J Cotler, HY Huang, J Li - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
We study the power of quantum memory for learning properties of quantum systems and
dynamics, which is of great importance in physics and chemistry. Many state-of-the-art …

Reconstructing quantum states with generative models

J Carrasquilla, G Torlai, RG Melko… - Nature Machine …, 2019 - nature.com
A major bottleneck in the development of scalable many-body quantum technologies is the
difficulty in benchmarking state preparations, which suffer from an exponential 'curse of …

Quantum machine learning for chemistry and physics

M Sajjan, J Li, R Selvarajan, SH Sureshbabu… - Chemical Society …, 2022 - pubs.rsc.org
Machine learning (ML) has emerged as a formidable force for identifying hidden but
pertinent patterns within a given data set with the objective of subsequent generation of …

Learning quantum states and unitaries of bounded gate complexity

H Zhao, L Lewis, I Kannan, Y Quek, HY Huang… - PRX Quantum, 2024 - APS
While quantum state tomography is notoriously hard, most states hold little interest to
practically minded tomographers. Given that states and unitaries appearing in nature are of …

Efficient quantum tomography

R O'Donnell, J Wright - Proceedings of the forty-eighth annual ACM …, 2016 - dl.acm.org
In the quantum state tomography problem, one wishes to estimate an unknown d-
dimensional mixed quantum state ρ, given few copies. We show that O (d/ε) copies suffice to …

Machine learning-based classification of vector vortex beams

T Giordani, A Suprano, E Polino, F Acanfora… - Physical review …, 2020 - APS
Structured light is attracting significant attention for its diverse applications in both classical
and quantum optics. The so-called vector vortex beams display peculiar properties in both …