Theory of overparametrization in quantum neural networks

M Larocca, N Ju, D García-Martín, PJ Coles… - Nature Computational …, 2023 - nature.com
The prospect of achieving quantum advantage with quantum neural networks (QNNs) is
exciting. Understanding how QNN properties (for example, the number of parameters M) …

Review on quantum computing for lattice field theory

L Funcke, T Hartung, K Jansen, S Kühn - arXiv preprint arXiv:2302.00467, 2023 - arxiv.org
In these proceedings, we review recent advances in applying quantum computing to lattice
field theory. Quantum computing offers the prospect to simulate lattice field theories in …

Towards quantum simulations in particle physics and beyond on noisy intermediate-scale quantum devices

L Funcke, T Hartung, K Jansen… - … of the Royal …, 2022 - royalsocietypublishing.org
We review two algorithmic advances that bring us closer to reliable quantum simulations of
model systems in high-energy physics and beyond on noisy intermediate-scale quantum …

Using classical bit-flip correction for error mitigation including 2-qubit correlations

C Alexandrou, L Funcke, T Hartung, K Jansen… - arXiv preprint arXiv …, 2021 - arxiv.org
We present an error mitigation scheme which corrects readout errors on Noisy Intermediate-
Scale Quantum (NISQ) computers [1, 2]. After a short review of applying the method to one …

Effects of noise on the overparametrization of quantum neural networks

D García-Martín, M Larocca, M Cerezo - Physical Review Research, 2024 - APS
Overparametrization is one of the most surprising and notorious phenomena in machine
learning. Recently, there have been several efforts to study if, and how, quantum neural …

Dimensional Expressivity Analysis, best-approximation errors, and automated design of parametric quantum circuits

L Funcke, T Hartung, K Jansen, S Kühn… - arXiv preprint arXiv …, 2021 - arxiv.org
The design of parametric quantum circuits (PQCs) for efficient use in variational quantum
simulations (VQS) is subject to two competing factors. On one hand, the set of states that can …

[图书][B] The Hubbard model on a honeycomb lattice with fermionic tensor networks

M Schneider - 2022 - search.proquest.com
Using tensor network (TN) techniques, we study the Hubbard model on a honeycomb lattice
with a chemical potential, which models the electron structure of graphene. In contrast to …

[PDF][PDF] Optimización en mecánica cuántica

M Larocca - 2021 - bibliotecadigital.exactas.uba.ar
Las ultimas décadas han evidenciado una rotunda transformación entorno a la mecánica
cuántica, pasando de ser una mera descripción de la naturaleza a liderar una nueva …

[PDF][PDF] Using classical bit-flip correction for error mitigation in quantum computations including 2-qubit correlations

K Jansen, C Alexandrou, L Funcke… - …, 2022 - nul.repository.guildhe.ac.uk
In recent years, quantum computing has started to become a very active area of research in
lattice field theory. The reason is that quantum computations offer the exciting possibility to …