Exponential concentration and untrainability in quantum kernel methods

S Thanasilp, S Wang, M Cerezo, Z Holmes - arxiv preprint arxiv …, 2022 - arxiv.org
Kernel methods in Quantum Machine Learning (QML) have recently gained significant
attention as a potential candidate for achieving a quantum advantage in data analysis …

Bandwidth enables generalization in quantum kernel models

A Canatar, E Peters, C Pehlevan, SM Wild… - arxiv preprint arxiv …, 2022 - arxiv.org
Quantum computers are known to provide speedups over classical state-of-the-art machine
learning methods in some specialized settings. For example, quantum kernel methods have …

Quantum kernels for real-world predictions based on electronic health records

Z Krunic, FF Flöther, G Seegan… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
Research on near-term quantum machine learning has explored how classical machine
learning algorithms endowed with access to quantum kernels (similarity measures) can …

Generalization error bound for quantum machine learning in NISQ era—a survey

B Khanal, P Rivas, A Sanjel, K Sooksatra… - Quantum Machine …, 2024 - Springer
Despite the mounting anticipation for the quantum revolution, the success of quantum
machine learning (QML) in the noisy intermediate-scale quantum (NISQ) era hinges on a …

Efficient estimation of trainability for variational quantum circuits

V Heyraud, Z Li, K Donatella, A Le Boité, C Ciuti - PRX Quantum, 2023 - APS
Parameterized quantum circuits used as variational ansatzes are emerging as promising
tools to tackle complex problems ranging from quantum chemistry to combinatorial …

Quantum Advantage Seeker with Kernels (QuASK): a software framework to speed up the research in quantum machine learning

F Di Marcantonio, M Incudini, D Tezza… - Quantum Machine …, 2023 - Springer
Exploiting the properties of quantum information to the benefit of machine learning models is
perhaps the most active field of research in quantum computation. This interest has …

The complexity of quantum support vector machines

G Gentinetta, A Thomsen, D Sutter, S Woerner - Quantum, 2024 - quantum-journal.org
Quantum support vector machines employ quantum circuits to define the kernel function. It
has been shown that this approach offers a provable exponential speedup compared to any …

Quantum kernel evaluation via Hong–Ou–Mandel interference

C Bowie, S Shrapnel, MJ Kewming - Quantum Science and …, 2023 - iopscience.iop.org
One of the fastest growing areas of interest in quantum computing is its use within machine
learning methods, in particular through the application of quantum kernels. Despite this …

Method for noise-induced regularization in quantum neural networks

W Somogyi, E Pankovets, V Kuzmin… - arxiv preprint arxiv …, 2024 - arxiv.org
In the current quantum computing paradigm, significant focus is placed on the reduction or
mitigation of quantum decoherence. When designing new quantum processing units, the …

Quantum fidelity kernel with a trapped-ion simulation platform

R Martínez-Peña, MC Soriano, R Zambrini - Physical Review A, 2024 - APS
Quantum kernel methods leverage a kernel function computed by embedding input
information into the Hilbert space of a quantum system. However, large Hilbert spaces can …