Error suppression in adiabatic quantum computing with qubit ensembles

Abstract Incorporating protection against quantum errors into adiabatic quantum computing (AQC) is an important task due to the inevitable presence of decoherence. Here, we investigate an error-protected encoding of the AQC Hamiltonian, where qubit ensembles are used in place of qubits. Our Hamilton...

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Autores principales:	Naeimeh Mohseni, Marek Narozniak, Alexey N. Pyrkov, Valentin Ivannikov, Jonathan P. Dowling, Tim Byrnes
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/75e409577a504f87acd847e1f5a5d2c7
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id	oai:doaj.org-article:75e409577a504f87acd847e1f5a5d2c7
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spelling	oai:doaj.org-article:75e409577a504f87acd847e1f5a5d2c72021-12-02T17:01:43ZError suppression in adiabatic quantum computing with qubit ensembles10.1038/s41534-021-00405-22056-6387https://doaj.org/article/75e409577a504f87acd847e1f5a5d2c72021-05-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00405-2https://doaj.org/toc/2056-6387Abstract Incorporating protection against quantum errors into adiabatic quantum computing (AQC) is an important task due to the inevitable presence of decoherence. Here, we investigate an error-protected encoding of the AQC Hamiltonian, where qubit ensembles are used in place of qubits. Our Hamiltonian only involves total spin operators of the ensembles, offering a simpler route towards error-corrected quantum computing. Our scheme is particularly suited to neutral atomic gases where it is possible to realize large ensemble sizes and produce ensemble-ensemble entanglement. We identify a critical ensemble size N c where the nature of the first excited state becomes a single particle perturbation of the ground state, and the gap energy is predictable by mean-field theory. For ensemble sizes larger than N c, the ground state becomes protected due to the presence of logically equivalent states and the AQC performance improves with N, as long as the decoherence rate is sufficiently low.Naeimeh MohseniMarek NarozniakAlexey N. PyrkovValentin IvannikovJonathan P. DowlingTim ByrnesNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-10 (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 Naeimeh Mohseni Marek Narozniak Alexey N. Pyrkov Valentin Ivannikov Jonathan P. Dowling Tim Byrnes Error suppression in adiabatic quantum computing with qubit ensembles
description	Abstract Incorporating protection against quantum errors into adiabatic quantum computing (AQC) is an important task due to the inevitable presence of decoherence. Here, we investigate an error-protected encoding of the AQC Hamiltonian, where qubit ensembles are used in place of qubits. Our Hamiltonian only involves total spin operators of the ensembles, offering a simpler route towards error-corrected quantum computing. Our scheme is particularly suited to neutral atomic gases where it is possible to realize large ensemble sizes and produce ensemble-ensemble entanglement. We identify a critical ensemble size N c where the nature of the first excited state becomes a single particle perturbation of the ground state, and the gap energy is predictable by mean-field theory. For ensemble sizes larger than N c, the ground state becomes protected due to the presence of logically equivalent states and the AQC performance improves with N, as long as the decoherence rate is sufficiently low.
format	article
author	Naeimeh Mohseni Marek Narozniak Alexey N. Pyrkov Valentin Ivannikov Jonathan P. Dowling Tim Byrnes
author_facet	Naeimeh Mohseni Marek Narozniak Alexey N. Pyrkov Valentin Ivannikov Jonathan P. Dowling Tim Byrnes
author_sort	Naeimeh Mohseni
title	Error suppression in adiabatic quantum computing with qubit ensembles
title_short	Error suppression in adiabatic quantum computing with qubit ensembles
title_full	Error suppression in adiabatic quantum computing with qubit ensembles
title_fullStr	Error suppression in adiabatic quantum computing with qubit ensembles
title_full_unstemmed	Error suppression in adiabatic quantum computing with qubit ensembles
title_sort	error suppression in adiabatic quantum computing with qubit ensembles
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/75e409577a504f87acd847e1f5a5d2c7
work_keys_str_mv	AT naeimehmohseni errorsuppressioninadiabaticquantumcomputingwithqubitensembles AT mareknarozniak errorsuppressioninadiabaticquantumcomputingwithqubitensembles AT alexeynpyrkov errorsuppressioninadiabaticquantumcomputingwithqubitensembles AT valentinivannikov errorsuppressioninadiabaticquantumcomputingwithqubitensembles AT jonathanpdowling errorsuppressioninadiabaticquantumcomputingwithqubitensembles AT timbyrnes errorsuppressioninadiabaticquantumcomputingwithqubitensembles
_version_	1718382063180054528

Error suppression in adiabatic quantum computing with qubit ensembles

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