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 …

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 …

On the universality of sn-equivariant k-body gates

S Kazi, M Larocca, M Cerezo - New Journal of Physics, 2024 - iopscience.iop.org
On the universality of Sn -equivariant k-body gates - IOPscience Skip to content IOP
Science home Accessibility Help Search Journals Journals list Browse more than 100 …

Hardware-efficient ansatz without barren plateaus in any depth

CY Park, M Kang, J Huh - arXiv preprint arXiv:2403.04844, 2024 - arxiv.org
Variational quantum circuits have recently gained much interest due to their relevance in
real-world applications, such as combinatorial optimizations, quantum simulations, and …

Enforcing exact permutation and rotational symmetries in the application of quantum neural networks on point cloud datasets

Z Li, L Nagano, K Terashi - Physical Review Research, 2024 - APS
Recent developments in the field of quantum machine learning have promoted the idea of
incorporating physical symmetries in the structure of quantum circuits. A crucial milestone in …

A comparison between invariant and equivariant classical and quantum graph neural networks

RT Forestano, M Comajoan Cara, GR Dahale, Z Dong… - Axioms, 2024 - mdpi.com
Machine learning algorithms are heavily relied on to understand the vast amounts of data
from high-energy particle collisions at the CERN Large Hadron Collider (LHC). The data …

Connecting permutation equivariant neural networks and partition diagrams

E Pearce-Crump - ECAI 2024, 2024 - ebooks.iospress.nl
Permutation equivariant neural networks are often constructed using tensor powers of R n
as their layer spaces. We show that all of the weight matrices that appear in these neural …

Symmetric derivatives of parametrized quantum circuits

D Wierichs, RDP East, M Larocca, M Cerezo… - arXiv preprint arXiv …, 2023 - arxiv.org
Symmetries are crucial for tailoring parametrized quantum circuits to applications, due to
their capability to capture the essence of physical systems. In this work, we shift the focus …

Image Classification with Rotation-Invariant Variational Quantum Circuits

PS Sebastian, M Cañizo, R Orús - arXiv preprint arXiv:2403.15031, 2024 - arxiv.org
Variational quantum algorithms are gaining attention as an early application of Noisy
Intermediate-Scale Quantum (NISQ) devices. One of the main problems of variational …