Quantum control using quantum memory

Abstract We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space–time grid. More specifically, we show how, introducing a quantum memory for each of the spatial grid, this result can be achieved simply by acting on the initial state of the who...

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Autores principales:	Mathieu Roget, Basile Herzog, Giuseppe Di Molfetta
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5b2e6bf212c24ceeba2246030abf28c9
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spelling	oai:doaj.org-article:5b2e6bf212c24ceeba2246030abf28c92021-12-02T12:33:53ZQuantum control using quantum memory10.1038/s41598-020-78455-32045-2322https://doaj.org/article/5b2e6bf212c24ceeba2246030abf28c92020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-78455-3https://doaj.org/toc/2045-2322Abstract We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space–time grid. More specifically, we show how, introducing a quantum memory for each of the spatial grid, this result can be achieved simply by acting on the initial state of the whole system, and therefore can be exactly controlled once for all. As example we prove analytically how to encode in the initial state any arbitrary walker’s mean trajectory and variance. This brings significantly closer the possibility of implementing dynamically interesting physics models on medium term quantum devices, and introduces a new direction in simulating aspects of quantum field theories (QFTs), notably on curved manifold.Mathieu RogetBasile HerzogGiuseppe Di MolfettaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-8 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Mathieu Roget Basile Herzog Giuseppe Di Molfetta Quantum control using quantum memory
description	Abstract We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space–time grid. More specifically, we show how, introducing a quantum memory for each of the spatial grid, this result can be achieved simply by acting on the initial state of the whole system, and therefore can be exactly controlled once for all. As example we prove analytically how to encode in the initial state any arbitrary walker’s mean trajectory and variance. This brings significantly closer the possibility of implementing dynamically interesting physics models on medium term quantum devices, and introduces a new direction in simulating aspects of quantum field theories (QFTs), notably on curved manifold.
format	article
author	Mathieu Roget Basile Herzog Giuseppe Di Molfetta
author_facet	Mathieu Roget Basile Herzog Giuseppe Di Molfetta
author_sort	Mathieu Roget
title	Quantum control using quantum memory
title_short	Quantum control using quantum memory
title_full	Quantum control using quantum memory
title_fullStr	Quantum control using quantum memory
title_full_unstemmed	Quantum control using quantum memory
title_sort	quantum control using quantum memory
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/5b2e6bf212c24ceeba2246030abf28c9
work_keys_str_mv	AT mathieuroget quantumcontrolusingquantummemory AT basileherzog quantumcontrolusingquantummemory AT giuseppedimolfetta quantumcontrolusingquantummemory
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Quantum control using quantum memory

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