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Quantum computation at the edge of a disordered Kitaev honeycomb lattice

We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum computations. For the edge of the Kitaev honeycomb model in a topolog...

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Autores principales: Timoshuk, Igor, Tikhonov, Konstantin, Makhlin, Yuriy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10502100/
https://www.ncbi.nlm.nih.gov/pubmed/37709834
http://dx.doi.org/10.1038/s41598-023-41997-3
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author Timoshuk, Igor
Tikhonov, Konstantin
Makhlin, Yuriy
author_facet Timoshuk, Igor
Tikhonov, Konstantin
Makhlin, Yuriy
author_sort Timoshuk, Igor
collection PubMed
description We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum computations. For the edge of the Kitaev honeycomb model in a topological phase, we discuss how the edge states can participate in quantum-information processing, and consider a two-qubit logic gate between distant external qubits coupled to the edge. Here we analyze the influence of disorder and noise on properties of the edge states and quantum-gate fidelity. We find that realistically weak disorder does not prevent one from implementation of a high-fidelity operation via the edge.
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spelling pubmed-105021002023-09-16 Quantum computation at the edge of a disordered Kitaev honeycomb lattice Timoshuk, Igor Tikhonov, Konstantin Makhlin, Yuriy Sci Rep Article We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum computations. For the edge of the Kitaev honeycomb model in a topological phase, we discuss how the edge states can participate in quantum-information processing, and consider a two-qubit logic gate between distant external qubits coupled to the edge. Here we analyze the influence of disorder and noise on properties of the edge states and quantum-gate fidelity. We find that realistically weak disorder does not prevent one from implementation of a high-fidelity operation via the edge. Nature Publishing Group UK 2023-09-14 /pmc/articles/PMC10502100/ /pubmed/37709834 http://dx.doi.org/10.1038/s41598-023-41997-3 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Timoshuk, Igor
Tikhonov, Konstantin
Makhlin, Yuriy
Quantum computation at the edge of a disordered Kitaev honeycomb lattice
title Quantum computation at the edge of a disordered Kitaev honeycomb lattice
title_full Quantum computation at the edge of a disordered Kitaev honeycomb lattice
title_fullStr Quantum computation at the edge of a disordered Kitaev honeycomb lattice
title_full_unstemmed Quantum computation at the edge of a disordered Kitaev honeycomb lattice
title_short Quantum computation at the edge of a disordered Kitaev honeycomb lattice
title_sort quantum computation at the edge of a disordered kitaev honeycomb lattice
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10502100/
https://www.ncbi.nlm.nih.gov/pubmed/37709834
http://dx.doi.org/10.1038/s41598-023-41997-3
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