[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 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 …

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 …

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 …

Computing exact moments of local random quantum circuits via tensor networks

P Braccia, P Bermejo, L Cincio, M Cerezo - Quantum Machine Intelligence, 2024 - Springer
A basic primitive in quantum information is the computation of the moments EU [Tr [U ρ U†
O] t]. These describe the distribution of expectation values obtained by sending a state ρ …

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 …

Showcasing a barren plateau theory beyond the dynamical lie algebra

NL Diaz, D García-Martín, S Kazi, M Larocca… - arXiv preprint arXiv …, 2023 - arxiv.org
Barren plateaus have emerged as a pivotal challenge for variational quantum computing.
Our understanding of this phenomenon underwent a transformative shift with the recent …

[PDF][PDF] Quantum vision transformers

IK El Amine Cherrat, N Mathur… - arXiv preprint arXiv …, 2022 - 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 …

Emergence of noise-induced barren plateaus in arbitrary layered noise models

M Schumann, FK Wilhelm, A Ciani - Quantum Science and …, 2024 - iopscience.iop.org
In variational quantum algorithms the parameters of a parameterized quantum circuit are
optimized in order to minimize a cost function that encodes the solution of the problem. The …