Kernel Alignment for Quantum Support Vector Machines Using Genetic Algorithms

Fuente: arXiv
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Autori principali: Creevey, Floyd M., Heredge, Jamie A., Sevior, Martin E., Hollenberg, Lloyd C. L.
Natura: Preprint
Pubblicazione: 2023
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author Creevey, Floyd M.
Heredge, Jamie A.
Sevior, Martin E.
Hollenberg, Lloyd C. L.
author_facet Creevey, Floyd M.
Heredge, Jamie A.
Sevior, Martin E.
Hollenberg, Lloyd C. L.
contents The data encoding circuits used in quantum support vector machine (QSVM) kernels play a crucial role in their classification accuracy. However, manually designing these circuits poses significant challenges in terms of time and performance. To address this, we leverage the GASP (Genetic Algorithm for State Preparation) framework for gate sequence selection in QSVM kernel circuits. We explore supervised and unsupervised kernel loss functions' impact on encoding circuit optimisation and evaluate them on diverse datasets for binary and multiple-class scenarios. Benchmarking against classical and quantum kernels reveals GA-generated circuits matching or surpassing standard techniques. We analyse the relationship between test accuracy and quantum kernel entropy, with results indicating a positive correlation. Our automated framework reduces trial and error, and enables improved QSVM based machine learning performance for finance, healthcare, and materials science applications.
format Preprint
id arxiv_https___arxiv_org_abs_2312_01562
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Kernel Alignment for Quantum Support Vector Machines Using Genetic Algorithms
Creevey, Floyd M.
Heredge, Jamie A.
Sevior, Martin E.
Hollenberg, Lloyd C. L.
Quantum Physics
The data encoding circuits used in quantum support vector machine (QSVM) kernels play a crucial role in their classification accuracy. However, manually designing these circuits poses significant challenges in terms of time and performance. To address this, we leverage the GASP (Genetic Algorithm for State Preparation) framework for gate sequence selection in QSVM kernel circuits. We explore supervised and unsupervised kernel loss functions' impact on encoding circuit optimisation and evaluate them on diverse datasets for binary and multiple-class scenarios. Benchmarking against classical and quantum kernels reveals GA-generated circuits matching or surpassing standard techniques. We analyse the relationship between test accuracy and quantum kernel entropy, with results indicating a positive correlation. Our automated framework reduces trial and error, and enables improved QSVM based machine learning performance for finance, healthcare, and materials science applications.
title Kernel Alignment for Quantum Support Vector Machines Using Genetic Algorithms
topic Quantum Physics
url https://arxiv.org/abs/2312.01562