The Impact of Feature Embedding Placement in the Ansatz of a Quantum Kernel in QSVMs

Fuente: arXiv
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Hauptverfasser: Salmenperä, Ilmo, Kuhtarskis, Ilmars, van de Griend, Arianne Meijer, Nurminen, Jukka K.
Format: Preprint
Veröffentlicht: 2024
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author Salmenperä, Ilmo
Kuhtarskis, Ilmars
van de Griend, Arianne Meijer
Nurminen, Jukka K.
author_facet Salmenperä, Ilmo
Kuhtarskis, Ilmars
van de Griend, Arianne Meijer
Nurminen, Jukka K.
contents Designing a useful feature map for a quantum kernel is a critical task when attempting to achieve an advantage over classical machine learning models. The choice of circuit architecture, i.e. how feature-dependent gates should be interwoven with other gates is a relatively unexplored problem and becomes very important when using a model of quantum kernels called Quantum Embedding Kernels (QEK). We study and categorize various architectural patterns in QEKs and show that existing architectural styles do not behave as the literature supposes. We also produce a novel alternative architecture based on the old ones and show that it performs equally well while containing fewer gates than its older counterparts.
format Preprint
id arxiv_https___arxiv_org_abs_2409_13147
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Impact of Feature Embedding Placement in the Ansatz of a Quantum Kernel in QSVMs
Salmenperä, Ilmo
Kuhtarskis, Ilmars
van de Griend, Arianne Meijer
Nurminen, Jukka K.
Quantum Physics
Artificial Intelligence
Designing a useful feature map for a quantum kernel is a critical task when attempting to achieve an advantage over classical machine learning models. The choice of circuit architecture, i.e. how feature-dependent gates should be interwoven with other gates is a relatively unexplored problem and becomes very important when using a model of quantum kernels called Quantum Embedding Kernels (QEK). We study and categorize various architectural patterns in QEKs and show that existing architectural styles do not behave as the literature supposes. We also produce a novel alternative architecture based on the old ones and show that it performs equally well while containing fewer gates than its older counterparts.
title The Impact of Feature Embedding Placement in the Ansatz of a Quantum Kernel in QSVMs
topic Quantum Physics
Artificial Intelligence
url https://arxiv.org/abs/2409.13147