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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2021-01-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-81503-1 |
| _version_ | 1818429232236199936 |
|---|---|
| author | Mun Dae Kim |
| author_facet | Mun Dae Kim |
| author_sort | Mun Dae Kim |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-14T15:14:14Z |
| format | Article |
| id | doaj.art-8f057547c657443b9453d2515714fd41 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-14T15:14:14Z |
| publishDate | 2021-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-8f057547c657443b9453d2515714fd412022-12-21T22:56:25ZengNature PortfolioScientific Reports2045-23222021-01-0111111010.1038/s41598-021-81503-1Circulator function in a Josephson junction circuit and braiding of Majorana zero modesMun Dae Kim0College of Liberal Arts, Hongik UniversityAbstract 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.https://doi.org/10.1038/s41598-021-81503-1 |
| spellingShingle | Mun Dae Kim Circulator function in a Josephson junction circuit and braiding of Majorana zero modes Scientific Reports |
| title | 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_short | 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 |
| url | https://doi.org/10.1038/s41598-021-81503-1 |
| work_keys_str_mv | AT mundaekim circulatorfunctioninajosephsonjunctioncircuitandbraidingofmajoranazeromodes |