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Main Authors: Anai, Keitaro, Ikehara, Shion, Yano, Yoshichika, Okuno, Daichi, Takeda, Shuntaro
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.01086
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author Anai, Keitaro
Ikehara, Shion
Yano, Yoshichika
Okuno, Daichi
Takeda, Shuntaro
author_facet Anai, Keitaro
Ikehara, Shion
Yano, Yoshichika
Okuno, Daichi
Takeda, Shuntaro
contents Among various quantum machine learning (QML) algorithms, the quantum kernel method has especially attracted attention due to its compatibility with noisy intermediate-scale quantum devices and its potential to achieve quantum advantage. This method performs classification and regression by nonlinearly mapping data into quantum states in a higher dimensional Hilbert space. Thus far, the quantum kernel method has been implemented only on qubit-based systems, but continuous-variable (CV) systems can potentially offer superior computational power by utilizing its infinite-dimensional Hilbert space. Here, we demonstrate the implementation of the classification task with the CV quantum kernel method on a programmable photonic quantum processor. We experimentally prove that the CV quantum kernel method successfully classifies several datasets robustly even under the experimental imperfections, with high accuracies comparable to the classical kernel. This demonstration sheds light on the utility of CV quantum systems for QML and should stimulate further study in other CV QML algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2405_01086
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Continuous-variable quantum kernel method on a programmable photonic quantum processor
Anai, Keitaro
Ikehara, Shion
Yano, Yoshichika
Okuno, Daichi
Takeda, Shuntaro
Quantum Physics
Among various quantum machine learning (QML) algorithms, the quantum kernel method has especially attracted attention due to its compatibility with noisy intermediate-scale quantum devices and its potential to achieve quantum advantage. This method performs classification and regression by nonlinearly mapping data into quantum states in a higher dimensional Hilbert space. Thus far, the quantum kernel method has been implemented only on qubit-based systems, but continuous-variable (CV) systems can potentially offer superior computational power by utilizing its infinite-dimensional Hilbert space. Here, we demonstrate the implementation of the classification task with the CV quantum kernel method on a programmable photonic quantum processor. We experimentally prove that the CV quantum kernel method successfully classifies several datasets robustly even under the experimental imperfections, with high accuracies comparable to the classical kernel. This demonstration sheds light on the utility of CV quantum systems for QML and should stimulate further study in other CV QML algorithms.
title Continuous-variable quantum kernel method on a programmable photonic quantum processor
topic Quantum Physics
url https://arxiv.org/abs/2405.01086