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 …

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 review of barren plateaus in variational quantum computing

M Larocca, S Thanasilp, S Wang, K Sharma… - arxiv preprint arxiv …, 2024 - arxiv.org
Variational quantum computing offers a flexible computational paradigm with applications in
diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) …

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 …

How can quantum computing be applied in clinical trial design and optimization?

H Doga, A Bose, ME Sahin, J Bettencourt-Silva… - Trends in …, 2024 - cell.com
Clinical trials are necessary for assessing the safety and efficacy of treatments. However,
trial timelines are severely delayed with minimal success due to a multitude of factors …

Trainability barriers and opportunities in quantum generative modeling

MS Rudolph, S Lerch, S Thanasilp, O Kiss… - npj Quantum …, 2024 - nature.com
Quantum generative models provide inherently efficient sampling strategies and thus show
promise for achieving an advantage using quantum hardware. In this work, we investigate …

Quantum convolutional neural networks are (effectively) classically simulable

P Bermejo, P Braccia, MS Rudolph, Z Holmes… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum Convolutional Neural Networks (QCNNs) are widely regarded as a promising
model for Quantum Machine Learning (QML). In this work we tie their heuristic success to …

Provably trainable rotationally equivariant quantum machine learning

MT West, J Heredge, M Sevior, M Usman - PRX Quantum, 2024 - APS
Exploiting the power of quantum computation to realize superior machine learning
algorithms has been a major research focus of recent years, but the prospects of quantum …

Problem-dependent power of quantum neural networks on multiclass classification

Y Du, Y Yang, D Tao, MH Hsieh - Physical Review Letters, 2023 - APS
Quantum neural networks (QNNs) have become an important tool for understanding the
physical world, but their advantages and limitations are not fully understood. Some QNNs …

Quantum feature maps for graph machine learning on a neutral atom quantum processor

B Albrecht, C Dalyac, L Leclerc, L Ortiz-Gutiérrez… - Physical Review A, 2023 - APS
Using a quantum processor to embed and process classical data enables the generation of
correlations between variables that are inefficient to represent through classical …