Engineering fast high-fidelity quantum operations with constrained interactions

Abstract Understanding how to tailor quantum dynamics to achieve the desired evolution is a crucial problem in almost all quantum technologies. Oftentimes an otherwise ideal quantum dynamics is corrupted by unavoidable interactions, and finding ways to mitigate the unwanted effects of such interacti...

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Autores principales:	T. Figueiredo Roque, Aashish A. Clerk, Hugo Ribeiro
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/27efe0889e694f5eac7e9555b8410552
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spelling	oai:doaj.org-article:27efe0889e694f5eac7e9555b84105522021-12-02T13:30:11ZEngineering fast high-fidelity quantum operations with constrained interactions10.1038/s41534-020-00349-z2056-6387https://doaj.org/article/27efe0889e694f5eac7e9555b84105522021-02-01T00:00:00Zhttps://doi.org/10.1038/s41534-020-00349-zhttps://doaj.org/toc/2056-6387Abstract Understanding how to tailor quantum dynamics to achieve the desired evolution is a crucial problem in almost all quantum technologies. Oftentimes an otherwise ideal quantum dynamics is corrupted by unavoidable interactions, and finding ways to mitigate the unwanted effects of such interactions on the dynamics is a very active field of research. Here, we present a very general method for designing high-efficiency control sequences that are fully compatible with experimental constraints on available interactions and their tunability. Our approach relies on the Magnus expansion to find order by order the necessary corrections that result in a high-fidelity operation. In the end finding, the control fields are reduced to solve a set of linear equations. We illustrate our method by applying it to a number of physically relevant problems: the strong-driving limit of a two-level system, fast squeezing in a parametrically driven cavity, the leakage problem in transmon qubit gates, and the acceleration of SNAP gates in a qubit-cavity system.T. Figueiredo RoqueAashish A. ClerkHugo RibeiroNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-17 (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 T. Figueiredo Roque Aashish A. Clerk Hugo Ribeiro Engineering fast high-fidelity quantum operations with constrained interactions
description	Abstract Understanding how to tailor quantum dynamics to achieve the desired evolution is a crucial problem in almost all quantum technologies. Oftentimes an otherwise ideal quantum dynamics is corrupted by unavoidable interactions, and finding ways to mitigate the unwanted effects of such interactions on the dynamics is a very active field of research. Here, we present a very general method for designing high-efficiency control sequences that are fully compatible with experimental constraints on available interactions and their tunability. Our approach relies on the Magnus expansion to find order by order the necessary corrections that result in a high-fidelity operation. In the end finding, the control fields are reduced to solve a set of linear equations. We illustrate our method by applying it to a number of physically relevant problems: the strong-driving limit of a two-level system, fast squeezing in a parametrically driven cavity, the leakage problem in transmon qubit gates, and the acceleration of SNAP gates in a qubit-cavity system.
format	article
author	T. Figueiredo Roque Aashish A. Clerk Hugo Ribeiro
author_facet	T. Figueiredo Roque Aashish A. Clerk Hugo Ribeiro
author_sort	T. Figueiredo Roque
title	Engineering fast high-fidelity quantum operations with constrained interactions
title_short	Engineering fast high-fidelity quantum operations with constrained interactions
title_full	Engineering fast high-fidelity quantum operations with constrained interactions
title_fullStr	Engineering fast high-fidelity quantum operations with constrained interactions
title_full_unstemmed	Engineering fast high-fidelity quantum operations with constrained interactions
title_sort	engineering fast high-fidelity quantum operations with constrained interactions
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/27efe0889e694f5eac7e9555b8410552
work_keys_str_mv	AT tfigueiredoroque engineeringfasthighfidelityquantumoperationswithconstrainedinteractions AT aashishaclerk engineeringfasthighfidelityquantumoperationswithconstrainedinteractions AT hugoribeiro engineeringfasthighfidelityquantumoperationswithconstrainedinteractions
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Engineering fast high-fidelity quantum operations with constrained interactions

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