Challenges and opportunities in quantum machine learning

M Cerezo, G Verdon, HY Huang, L Cincio… - Nature Computational …, 2022 - nature.com
At the intersection of machine learning and quantum computing, quantum machine learning
has the potential of accelerating data analysis, especially for quantum data, with …

Representation theory for geometric quantum machine learning

M Ragone, P Braccia, QT Nguyen, L Schatzki… - arXiv preprint arXiv …, 2022 - arxiv.org
Recent advances in classical machine learning have shown that creating models with
inductive biases encoding the symmetries of a problem can greatly improve performance …

[HTML][HTML] Generalization in quantum machine learning from few training data

MC Caro, HY Huang, M Cerezo, K Sharma… - Nature …, 2022 - nature.com
Modern quantum machine learning (QML) methods involve variationally optimizing a
parameterized quantum circuit on a training data set, and subsequently making predictions …

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 …

Theory for equivariant quantum neural networks

QT Nguyen, L Schatzki, P Braccia, M Ragone, PJ Coles… - PRX Quantum, 2024 - APS
Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …

[HTML][HTML] Diagnosing barren plateaus with tools from quantum optimal control

M Larocca, P Czarnik, K Sharma, G Muraleedharan… - Quantum, 2022 - quantum-journal.org
Abstract Variational Quantum Algorithms (VQAs) have received considerable attention due
to their potential for achieving near-term quantum advantage. However, more work is …

[HTML][HTML] Theoretical guarantees for permutation-equivariant quantum neural networks

L Schatzki, M Larocca, QT Nguyen, F Sauvage… - npj Quantum …, 2024 - nature.com
Despite the great promise of quantum machine learning models, there are several
challenges one must overcome before unlocking their full potential. For instance, models …

A unified theory of barren plateaus for deep parametrized quantum circuits

M Ragone, BN Bakalov, F Sauvage, AF Kemper… - arXiv preprint arXiv …, 2023 - arxiv.org
Variational quantum computing schemes have received considerable attention due to their
high versatility and potential to make practical use of near-term quantum devices. At their …

Does provable absence of barren plateaus imply classical simulability? Or, why we need to rethink variational quantum computing

M Cerezo, M Larocca, D García-Martín, NL Diaz… - arXiv preprint arXiv …, 2023 - arxiv.org
A large amount of effort has recently been put into understanding the barren plateau
phenomenon. In this perspective article, we face the increasingly loud elephant in the room …

[HTML][HTML] Exponential concentration in quantum kernel methods

S Thanasilp, S Wang, M Cerezo, Z Holmes - Nature Communications, 2024 - nature.com
Abstract Kernel methods in Quantum Machine Learning (QML) have recently gained
significant attention as a potential candidate for achieving a quantum advantage in data …