Universal quantum computing using single-particle discrete-time quantum walk

Abstract Quantum walk has been regarded as a primitive to universal quantum computation. In this paper, we demonstrate the realization of the universal set of quantum gates on two- and three-qubit systems by using the operations required to describe the single particle discrete-time quantum walk on...

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Autores principales:	Shivani Singh, Prateek Chawla, Anupam Sarkar, C. M. Chandrashekar
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/1efd79e7648245f8a27b3824c87ceee9
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spelling	oai:doaj.org-article:1efd79e7648245f8a27b3824c87ceee92021-12-02T17:51:29ZUniversal quantum computing using single-particle discrete-time quantum walk10.1038/s41598-021-91033-52045-2322https://doaj.org/article/1efd79e7648245f8a27b3824c87ceee92021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91033-5https://doaj.org/toc/2045-2322Abstract Quantum walk has been regarded as a primitive to universal quantum computation. In this paper, we demonstrate the realization of the universal set of quantum gates on two- and three-qubit systems by using the operations required to describe the single particle discrete-time quantum walk on a position space. The idea is to utilize the effective Hilbert space of the single qubit and the position space on which it evolves in order to realize multi-qubit states and universal set of quantum gates on them. Realization of many non-trivial gates and engineering arbitrary states is simpler in the proposed quantum walk model when compared to the circuit based model of computation. We will also discuss the scalability of the model and some propositions for using lesser number of qubits in realizing larger qubit systems.Shivani SinghPrateek ChawlaAnupam SarkarC. M. ChandrashekarNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Shivani Singh Prateek Chawla Anupam Sarkar C. M. Chandrashekar Universal quantum computing using single-particle discrete-time quantum walk
description	Abstract Quantum walk has been regarded as a primitive to universal quantum computation. In this paper, we demonstrate the realization of the universal set of quantum gates on two- and three-qubit systems by using the operations required to describe the single particle discrete-time quantum walk on a position space. The idea is to utilize the effective Hilbert space of the single qubit and the position space on which it evolves in order to realize multi-qubit states and universal set of quantum gates on them. Realization of many non-trivial gates and engineering arbitrary states is simpler in the proposed quantum walk model when compared to the circuit based model of computation. We will also discuss the scalability of the model and some propositions for using lesser number of qubits in realizing larger qubit systems.
format	article
author	Shivani Singh Prateek Chawla Anupam Sarkar C. M. Chandrashekar
author_facet	Shivani Singh Prateek Chawla Anupam Sarkar C. M. Chandrashekar
author_sort	Shivani Singh
title	Universal quantum computing using single-particle discrete-time quantum walk
title_short	Universal quantum computing using single-particle discrete-time quantum walk
title_full	Universal quantum computing using single-particle discrete-time quantum walk
title_fullStr	Universal quantum computing using single-particle discrete-time quantum walk
title_full_unstemmed	Universal quantum computing using single-particle discrete-time quantum walk
title_sort	universal quantum computing using single-particle discrete-time quantum walk
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/1efd79e7648245f8a27b3824c87ceee9
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Universal quantum computing using single-particle discrete-time quantum walk

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