Jordan–Wigner transformations for tree structures

The celebrated Jordan–Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension. Here we extend this spin–fermion mapping to arbitrary tree structures, which enables mapping between fermionic and spin systems with nearest-neighbor coupling. The ma...

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Detalles Bibliográficos
Autores principales: Backens, Stefan, Shnirman, Alexander, Makhlin, Yuriy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6385234/
https://www.ncbi.nlm.nih.gov/pubmed/30796240
http://dx.doi.org/10.1038/s41598-018-38128-8
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author Backens, Stefan
Shnirman, Alexander
Makhlin, Yuriy
author_facet Backens, Stefan
Shnirman, Alexander
Makhlin, Yuriy
author_sort Backens, Stefan
collection PubMed
description The celebrated Jordan–Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension. Here we extend this spin–fermion mapping to arbitrary tree structures, which enables mapping between fermionic and spin systems with nearest-neighbor coupling. The mapping is achieved with the help of additional spins at the junctions between one-dimensional chains. This property allows for straightforward simulation of Majorana braiding in spin or qubit systems.
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spelling pubmed-63852342019-02-26 Jordan–Wigner transformations for tree structures Backens, Stefan Shnirman, Alexander Makhlin, Yuriy Sci Rep Article The celebrated Jordan–Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension. Here we extend this spin–fermion mapping to arbitrary tree structures, which enables mapping between fermionic and spin systems with nearest-neighbor coupling. The mapping is achieved with the help of additional spins at the junctions between one-dimensional chains. This property allows for straightforward simulation of Majorana braiding in spin or qubit systems. Nature Publishing Group UK 2019-02-22 /pmc/articles/PMC6385234/ /pubmed/30796240 http://dx.doi.org/10.1038/s41598-018-38128-8 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Backens, Stefan
Shnirman, Alexander
Makhlin, Yuriy
Jordan–Wigner transformations for tree structures
title Jordan–Wigner transformations for tree structures
title_full Jordan–Wigner transformations for tree structures
title_fullStr Jordan–Wigner transformations for tree structures
title_full_unstemmed Jordan–Wigner transformations for tree structures
title_short Jordan–Wigner transformations for tree structures
title_sort jordan–wigner transformations for tree structures
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6385234/
https://www.ncbi.nlm.nih.gov/pubmed/30796240
http://dx.doi.org/10.1038/s41598-018-38128-8
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