A review of barren plateaus in variational quantum computing

M Larocca, S Thanasilp, S Wang, K Sharma… - arxiv preprint arxiv …, 2024 - arxiv.org
Variational quantum computing offers a flexible computational paradigm with applications in
diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) …

Exponential concentration in quantum kernel methods

S Thanasilp, S Wang, M Cerezo, Z Holmes - Nature Communications, 2024 - nature.com
Abstract Kernel methods in Quantum Machine Learning (QML) have recently gained
significant attention as a potential candidate for achieving a quantum advantage in data …

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 …

Generalization despite overfitting in quantum machine learning models

E Peters, M Schuld - Quantum, 2023 - quantum-journal.org
The widespread success of deep neural networks has revealed a surprise in classical
machine learning: very complex models often generalize well while simultaneously …

Multidimensional fourier series with quantum circuits

B Casas, A Cervera-Lierta - Physical Review A, 2023 - APS
Quantum machine learning is the field that aims to integrate machine learning with quantum
computation. In recent years, the field has emerged as an active research area with the …

Contextuality and inductive bias in quantum machine learning

J Bowles, VJ Wright, M Farkas, N Killoran… - arxiv preprint arxiv …, 2023 - arxiv.org
Generalisation in machine learning often relies on the ability to encode structures present in
data into an inductive bias of the model class. To understand the power of quantum machine …

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 …

Statistical complexity of quantum learning

L Banchi, JL Pereira, ST Jose… - Advanced Quantum …, 2023 - Wiley Online Library
Learning problems involve settings in which an algorithm has to make decisions based on
data, and possibly side information such as expert knowledge. This study has two main …

Quantum support vector machines for classification and regression on a trapped-ion quantum computer

T Suzuki, T Hasebe, T Miyazaki - Quantum Machine Intelligence, 2024 - Springer
Quantum machine learning is a rapidly growing field at the intersection of quantum
computing and machine learning. In this work, we examine our quantum machine learning …

Quantum Fisher kernel for mitigating the vanishing similarity issue

Y Suzuki, H Kawaguchi… - Quantum Science and …, 2022 - iopscience.iop.org
Quantum kernel methods exploit quantum computers to calculate quantum kernels (QKs) for
the use of kernel-based learning models. Despite a potential quantum advantage of the …