Measurement-free preparation of grid states

Abstract Quantum computing potentially offers exponential speed-ups over classical computing for certain tasks. A central, outstanding challenge to making quantum computing practical is to achieve fault tolerance, meaning that computations of any length or size can be realized in the presence of noi...

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Autores principales:	Jacob Hastrup, Kimin Park, Jonatan Bohr Brask, Radim Filip, Ulrik Lund Andersen
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/7d84d30d46bc46f8a8d4762f97e73b14
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id	oai:doaj.org-article:7d84d30d46bc46f8a8d4762f97e73b14
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spelling	oai:doaj.org-article:7d84d30d46bc46f8a8d4762f97e73b142021-12-02T10:48:15ZMeasurement-free preparation of grid states10.1038/s41534-020-00353-32056-6387https://doaj.org/article/7d84d30d46bc46f8a8d4762f97e73b142021-01-01T00:00:00Zhttps://doi.org/10.1038/s41534-020-00353-3https://doaj.org/toc/2056-6387Abstract Quantum computing potentially offers exponential speed-ups over classical computing for certain tasks. A central, outstanding challenge to making quantum computing practical is to achieve fault tolerance, meaning that computations of any length or size can be realized in the presence of noise. The Gottesman-Kitaev-Preskill code is a promising approach toward fault-tolerant quantum computing, encoding logical qubits into grid states of harmonic oscillators. However, for the code to be fault tolerant, the quality of the grid states has to be extremely high. Approximate grid states have recently been realized experimentally, but their quality is still insufficient for fault tolerance. Current implementable protocols for generating grid states rely on measurements of ancillary qubits combined with either postselection or feed forward. Implementing such measurements take up significant time during which the states decohere, thus limiting their quality. Here, we propose a measurement-free preparation protocol, which deterministically prepares arbitrary logical grid states with a rectangular or hexagonal lattice. The protocol can be readily implemented in trapped-ion or superconducting-circuit platforms to generate high-quality grid states using only a few interactions, even with the noise levels found in current systems.Jacob HastrupKimin ParkJonatan Bohr BraskRadim FilipUlrik Lund AndersenNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-8 (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 Jacob Hastrup Kimin Park Jonatan Bohr Brask Radim Filip Ulrik Lund Andersen Measurement-free preparation of grid states
description	Abstract Quantum computing potentially offers exponential speed-ups over classical computing for certain tasks. A central, outstanding challenge to making quantum computing practical is to achieve fault tolerance, meaning that computations of any length or size can be realized in the presence of noise. The Gottesman-Kitaev-Preskill code is a promising approach toward fault-tolerant quantum computing, encoding logical qubits into grid states of harmonic oscillators. However, for the code to be fault tolerant, the quality of the grid states has to be extremely high. Approximate grid states have recently been realized experimentally, but their quality is still insufficient for fault tolerance. Current implementable protocols for generating grid states rely on measurements of ancillary qubits combined with either postselection or feed forward. Implementing such measurements take up significant time during which the states decohere, thus limiting their quality. Here, we propose a measurement-free preparation protocol, which deterministically prepares arbitrary logical grid states with a rectangular or hexagonal lattice. The protocol can be readily implemented in trapped-ion or superconducting-circuit platforms to generate high-quality grid states using only a few interactions, even with the noise levels found in current systems.
format	article
author	Jacob Hastrup Kimin Park Jonatan Bohr Brask Radim Filip Ulrik Lund Andersen
author_facet	Jacob Hastrup Kimin Park Jonatan Bohr Brask Radim Filip Ulrik Lund Andersen
author_sort	Jacob Hastrup
title	Measurement-free preparation of grid states
title_short	Measurement-free preparation of grid states
title_full	Measurement-free preparation of grid states
title_fullStr	Measurement-free preparation of grid states
title_full_unstemmed	Measurement-free preparation of grid states
title_sort	measurement-free preparation of grid states
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/7d84d30d46bc46f8a8d4762f97e73b14
work_keys_str_mv	AT jacobhastrup measurementfreepreparationofgridstates AT kiminpark measurementfreepreparationofgridstates AT jonatanbohrbrask measurementfreepreparationofgridstates AT radimfilip measurementfreepreparationofgridstates AT ulriklundandersen measurementfreepreparationofgridstates
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Measurement-free preparation of grid states

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