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 …

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
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Symmetry-invariant quantum machine learning force fields

INM Le, O Kiss, J Schuhmacher, I Tavernelli… - arXiv preprint arXiv …, 2023 - arxiv.org
Machine learning techniques are essential tools to compute efficient, yet accurate, force
fields for atomistic simulations. This approach has recently been extended to incorporate …

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 …

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 …

2 × ℤ2 Equivariant Quantum Neural Networks: Benchmarking against Classical Neural Networks

Z Dong, M Comajoan Cara, GR Dahale, RT Forestano… - Axioms, 2024 - mdpi.com
This paper presents a comparative analysis of the performance of Equivariant Quantum
Neural Networks (EQNNs) and Quantum Neural Networks (QNNs), juxtaposed against their …

Permutation-equivariant quantum convolutional neural networks

S Das, F Caruso - arXiv preprint arXiv:2404.18198, 2024 - arxiv.org
The Symmetric group $ S_ {n} $ manifests itself in large classes of quantum systems as the
invariance of certain characteristics of a quantum state with respect to permuting the qubits …

Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings

G Crognaletti, G Di Bartolomeo, M Vischi… - arXiv preprint arXiv …, 2024 - arxiv.org
Level spectroscopy stands as a powerful method for identifying the transition point that
delineates distinct quantum phases. Since each quantum phase exhibits a characteristic …

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 …