Experimental quantum kernel trick with nuclear spins in a solid

Abstract The kernel trick allows us to employ high-dimensional feature space for a machine learning task without explicitly storing features. Recently, the idea of utilizing quantum systems for computing kernel functions using interference has been demonstrated experimentally. However, the dimension...

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Autores principales:	Takeru Kusumoto, Kosuke Mitarai, Keisuke Fujii, Masahiro Kitagawa, Makoto Negoro
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/42fb4edcbd684d3caf1edcd872e85c44
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id	oai:doaj.org-article:42fb4edcbd684d3caf1edcd872e85c44
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spelling	oai:doaj.org-article:42fb4edcbd684d3caf1edcd872e85c442021-12-02T14:58:20ZExperimental quantum kernel trick with nuclear spins in a solid10.1038/s41534-021-00423-02056-6387https://doaj.org/article/42fb4edcbd684d3caf1edcd872e85c442021-06-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00423-0https://doaj.org/toc/2056-6387Abstract The kernel trick allows us to employ high-dimensional feature space for a machine learning task without explicitly storing features. Recently, the idea of utilizing quantum systems for computing kernel functions using interference has been demonstrated experimentally. However, the dimension of feature spaces in those experiments have been smaller than the number of data, which makes them lose their computational advantage over explicit method. Here we show the first experimental demonstration of a quantum kernel machine that achieves a scheme where the dimension of feature space greatly exceeds the number of data using 1H nuclear spins in solid. The use of NMR allows us to obtain the kernel values with single-shot experiment. We employ engineered dynamics correlating 25 spins which is equivalent to using a feature space with a dimension over 1015. This work presents a quantum machine learning using one of the largest quantum systems to date.Takeru KusumotoKosuke MitaraiKeisuke FujiiMasahiro KitagawaMakoto NegoroNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Takeru Kusumoto Kosuke Mitarai Keisuke Fujii Masahiro Kitagawa Makoto Negoro Experimental quantum kernel trick with nuclear spins in a solid
description	Abstract The kernel trick allows us to employ high-dimensional feature space for a machine learning task without explicitly storing features. Recently, the idea of utilizing quantum systems for computing kernel functions using interference has been demonstrated experimentally. However, the dimension of feature spaces in those experiments have been smaller than the number of data, which makes them lose their computational advantage over explicit method. Here we show the first experimental demonstration of a quantum kernel machine that achieves a scheme where the dimension of feature space greatly exceeds the number of data using 1H nuclear spins in solid. The use of NMR allows us to obtain the kernel values with single-shot experiment. We employ engineered dynamics correlating 25 spins which is equivalent to using a feature space with a dimension over 1015. This work presents a quantum machine learning using one of the largest quantum systems to date.
format	article
author	Takeru Kusumoto Kosuke Mitarai Keisuke Fujii Masahiro Kitagawa Makoto Negoro
author_facet	Takeru Kusumoto Kosuke Mitarai Keisuke Fujii Masahiro Kitagawa Makoto Negoro
author_sort	Takeru Kusumoto
title	Experimental quantum kernel trick with nuclear spins in a solid
title_short	Experimental quantum kernel trick with nuclear spins in a solid
title_full	Experimental quantum kernel trick with nuclear spins in a solid
title_fullStr	Experimental quantum kernel trick with nuclear spins in a solid
title_full_unstemmed	Experimental quantum kernel trick with nuclear spins in a solid
title_sort	experimental quantum kernel trick with nuclear spins in a solid
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/42fb4edcbd684d3caf1edcd872e85c44
work_keys_str_mv	AT takerukusumoto experimentalquantumkerneltrickwithnuclearspinsinasolid AT kosukemitarai experimentalquantumkerneltrickwithnuclearspinsinasolid AT keisukefujii experimentalquantumkerneltrickwithnuclearspinsinasolid AT masahirokitagawa experimentalquantumkerneltrickwithnuclearspinsinasolid AT makotonegoro experimentalquantumkerneltrickwithnuclearspinsinasolid
_version_	1718389261246398464

Experimental quantum kernel trick with nuclear spins in a solid

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