High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions

Abstract A two-dimensional array of Kerr-nonlinear parametric oscillators (KPOs) with local four-body interactions is a promising candidate for realizing an Ising machine with all-to-all spin couplings, based on adiabatic quantum computation in the Lechner–Hauke–Zoller (LHZ) scheme. However, its per...

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Autores principales:	Taro Kanao, Hayato Goto
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/97ed404f269742fcbc11d044fc52b87c
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spelling	oai:doaj.org-article:97ed404f269742fcbc11d044fc52b87c2021-12-02T10:48:15ZHigh-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions10.1038/s41534-020-00355-12056-6387https://doaj.org/article/97ed404f269742fcbc11d044fc52b87c2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41534-020-00355-1https://doaj.org/toc/2056-6387Abstract A two-dimensional array of Kerr-nonlinear parametric oscillators (KPOs) with local four-body interactions is a promising candidate for realizing an Ising machine with all-to-all spin couplings, based on adiabatic quantum computation in the Lechner–Hauke–Zoller (LHZ) scheme. However, its performance has been evaluated only for a symmetric network of three KPOs, and thus it has been unclear whether such an Ising machine works in general cases with asymmetric networks. By numerically simulating an asymmetric network of more KPOs in the LHZ scheme, we find that the asymmetry in the four-body interactions causes inhomogeneity in photon numbers and hence degrades the performance. We then propose a method for reducing the inhomogeneity, where the discrepancies of the photon numbers are corrected by tuning the detunings of KPOs depending on their positions, without monitoring their states during adiabatic time evolution. Our simulation results show that the performance can be dramatically improved by this method. The proposed method, which is based on the understanding of the asymmetry, is expected to be useful for general networks of KPOs in the LHZ scheme and thus for their large-scale implementation.Taro KanaoHayato GotoNature 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 Taro Kanao Hayato Goto High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
description	Abstract A two-dimensional array of Kerr-nonlinear parametric oscillators (KPOs) with local four-body interactions is a promising candidate for realizing an Ising machine with all-to-all spin couplings, based on adiabatic quantum computation in the Lechner–Hauke–Zoller (LHZ) scheme. However, its performance has been evaluated only for a symmetric network of three KPOs, and thus it has been unclear whether such an Ising machine works in general cases with asymmetric networks. By numerically simulating an asymmetric network of more KPOs in the LHZ scheme, we find that the asymmetry in the four-body interactions causes inhomogeneity in photon numbers and hence degrades the performance. We then propose a method for reducing the inhomogeneity, where the discrepancies of the photon numbers are corrected by tuning the detunings of KPOs depending on their positions, without monitoring their states during adiabatic time evolution. Our simulation results show that the performance can be dramatically improved by this method. The proposed method, which is based on the understanding of the asymmetry, is expected to be useful for general networks of KPOs in the LHZ scheme and thus for their large-scale implementation.
format	article
author	Taro Kanao Hayato Goto
author_facet	Taro Kanao Hayato Goto
author_sort	Taro Kanao
title	High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
title_short	High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
title_full	High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
title_fullStr	High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
title_full_unstemmed	High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
title_sort	high-accuracy ising machine using kerr-nonlinear parametric oscillators with local four-body interactions
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/97ed404f269742fcbc11d044fc52b87c
work_keys_str_mv	AT tarokanao highaccuracyisingmachineusingkerrnonlinearparametricoscillatorswithlocalfourbodyinteractions AT hayatogoto highaccuracyisingmachineusingkerrnonlinearparametricoscillatorswithlocalfourbodyinteractions
_version_	1718396664138432512

High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions

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