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 …

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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Non-Unitary Quantum Machine Learning

J Heredge, M West, L Hollenberg, M Sevior - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce several novel probabilistic quantum algorithms that overcome the normal
unitary restrictions in quantum machine learning by leveraging the Linear Combination of …

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 …

Can Geometric Quantum Machine Learning Lead to Advantage in Barcode Classification?

C Umeano, S Scali, O Kyriienko - arXiv preprint arXiv:2409.01496, 2024 - arxiv.org
We consider the problem of distinguishing two vectors (visualized as images or barcodes)
and learning if they are related to one another. For this, we develop a geometric quantum …

Feynman's “Simulating Physics with Computers”

PM Alsing, C Cafaro, S Mancini - International Journal of Theoretical …, 2024 - Springer
This invited essay belongs to a series considering highly influential articles published by the
International Journal of Theoretical Physics. In this paper, we highlight the physical content …

Estimates of loss function concentration in noisy parametrized quantum circuits

G Crognaletti, M Grossi, A Bassi - arXiv preprint arXiv:2410.01893, 2024 - arxiv.org
Variational quantum computing provides a versatile computational approach, applicable to a
wide range of fields such as quantum chemistry, machine learning, and optimization …