Characterizing barren plateaus in quantum ansätze with the adjoint representation

E Fontana, D Herman, S Chakrabarti, N Kumar… - Nature …, 2024 - nature.com
Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize
parameterized quantum circuits which naturally express Lie groups. It has been postulated …

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 …

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 …

[PDF][PDF] Quantum vision transformers

EA Cherrat, I Kerenidis, N Mathur, J Landman… - Quantum, 2024 - quantum-journal.org
Jonas Landman: jonas. landman@ qcware. com we trained on these small-scale datasets
require fewer parameters compared to standard classical benchmarks. While this …

Quantum optimization: Potential, challenges, and the path forward

A Abbas, A Ambainis, B Augustino, A Bärtschi… - arxiv preprint arxiv …, 2023 - arxiv.org
Recent advances in quantum computers are demonstrating the ability to solve problems at a
scale beyond brute force classical simulation. As such, a widespread interest in quantum …

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 …

Symmetry breaking in geometric quantum machine learning in the presence of noise

C Tüysüz, SY Chang, M Demidik, K Jansen… - PRX Quantum, 2024 - APS
Geometric quantum machine learning based on equivariant quantum neural networks
(EQNNs) recently appeared as a promising direction in quantum machine learning. Despite …

Towards large-scale quantum optimization solvers with few qubits

M Sciorilli, L Borges, TL Patti, D García-Martín… - Nature …, 2025 - nature.com
Quantum computers hold the promise of more efficient combinatorial optimization solvers,
which could be game-changing for a broad range of applications. However, a bottleneck for …