Circulator function in a Josephson junction circuit and braiding of Majorana zero modes

Abstract We propose a scheme for the circulator function in a superconducting circuit consisting of a three-Josephson junction loop and a trijunction. In this study we obtain the exact Lagrangian of the system by deriving the effective potential from the fundamental boundary conditions. We subsequen...

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Autor principal:	Mun Dae Kim
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/8f057547c657443b9453d2515714fd41
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spelling	oai:doaj.org-article:8f057547c657443b9453d2515714fd412021-12-02T10:49:30ZCirculator function in a Josephson junction circuit and braiding of Majorana zero modes10.1038/s41598-021-81503-12045-2322https://doaj.org/article/8f057547c657443b9453d2515714fd412021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81503-1https://doaj.org/toc/2045-2322Abstract We propose a scheme for the circulator function in a superconducting circuit consisting of a three-Josephson junction loop and a trijunction. In this study we obtain the exact Lagrangian of the system by deriving the effective potential from the fundamental boundary conditions. We subsequently show that we can selectively choose the direction of current flowing through the branches connected at the trijunction, which performs a circulator function. Further, we use this circulator function for a non-Abelian braiding of Majorana zero modes (MZMs). In the branches of the system we introduce pairs of MZMs which interact with each other through the phases of trijunction. The circulator function determines the phases of the trijunction and thus the coupling between the MZMs to gives rise to the braiding operation. We modify the system so that MZMs might be coupled to the external ones to perform qubit operations in a scalable design.Mun Dae KimNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Mun Dae Kim Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
description	Abstract We propose a scheme for the circulator function in a superconducting circuit consisting of a three-Josephson junction loop and a trijunction. In this study we obtain the exact Lagrangian of the system by deriving the effective potential from the fundamental boundary conditions. We subsequently show that we can selectively choose the direction of current flowing through the branches connected at the trijunction, which performs a circulator function. Further, we use this circulator function for a non-Abelian braiding of Majorana zero modes (MZMs). In the branches of the system we introduce pairs of MZMs which interact with each other through the phases of trijunction. The circulator function determines the phases of the trijunction and thus the coupling between the MZMs to gives rise to the braiding operation. We modify the system so that MZMs might be coupled to the external ones to perform qubit operations in a scalable design.
format	article
author	Mun Dae Kim
author_facet	Mun Dae Kim
author_sort	Mun Dae Kim
title	Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
title_short	Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
title_full	Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
title_fullStr	Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
title_full_unstemmed	Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
title_sort	circulator function in a josephson junction circuit and braiding of majorana zero modes
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/8f057547c657443b9453d2515714fd41
work_keys_str_mv	AT mundaekim circulatorfunctioninajosephsonjunctioncircuitandbraidingofmajoranazeromodes
_version_	1718396604240625664

Circulator function in a Josephson junction circuit and braiding of Majorana zero modes

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