Quantum neural networks (QNNs) and quantum kernels stand as prominent figures
in the realm of quantum machine learning, poised to leverage the nascent
capabilities of near-term quantum computers to surmount classical machine
learning challenges. Nonetheless, the training efficiency challenge poses a
limitation on both QNNs and quantum kernels, curbing their efficacy when
applied to extensive datasets. To confront this concern, we present a unified
approach: coreset selection, aimed at expediting the training of QNNs and
quantum kernels by distilling a judicious subset from the original training
dataset. Furthermore, we analyze the generalization error bounds of QNNs and
quantum kernels when trained on such coresets, unveiling the comparable
performance with those training on the complete original dataset. Through
systematic numerical simulations, we illuminate the potential of coreset
selection in expediting tasks encompassing synthetic data classification,
identification of quantum correlations, and quantum compiling. Our work offers
a useful way to improve diverse quantum machine learning models with a
theoretical guarantee while reducing the training cost.Comment: 25 pages, 7 figure