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Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits

Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise. However, all attempts to prove their existence gave inconclus...

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Autor principal: Rančić, Marko J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9674617/
https://www.ncbi.nlm.nih.gov/pubmed/36400947
http://dx.doi.org/10.1038/s41598-022-24341-z
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author Rančić, Marko J.
author_facet Rančić, Marko J.
author_sort Rančić, Marko J.
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description Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise. However, all attempts to prove their existence gave inconclusive results. Here, the Kitaev chain is exactly solved with a quantum computing methodology and properties of MZMs are probed by generating eigenstates of the Kitev Hamiltonian on 3 noisy qubits of a publicly available quantum computer. After an ontological elaboration I show that two eigenstates of the Kitaev Hamiltonian exhibit eight signatures attributed to MZMs. The results presented here are a most comprehensive set of validations of MZMs ever conducted in an actual physical system. Furthermore, the findings of this manuscript are easily reproducible for any user of publicly available quantum computers, solving another important problem of research with MZMs—the result reproducibility crisis.
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spelling pubmed-96746172022-11-20 Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits Rančić, Marko J. Sci Rep Article Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise. However, all attempts to prove their existence gave inconclusive results. Here, the Kitaev chain is exactly solved with a quantum computing methodology and properties of MZMs are probed by generating eigenstates of the Kitev Hamiltonian on 3 noisy qubits of a publicly available quantum computer. After an ontological elaboration I show that two eigenstates of the Kitaev Hamiltonian exhibit eight signatures attributed to MZMs. The results presented here are a most comprehensive set of validations of MZMs ever conducted in an actual physical system. Furthermore, the findings of this manuscript are easily reproducible for any user of publicly available quantum computers, solving another important problem of research with MZMs—the result reproducibility crisis. Nature Publishing Group UK 2022-11-18 /pmc/articles/PMC9674617/ /pubmed/36400947 http://dx.doi.org/10.1038/s41598-022-24341-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis 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
Rančić, Marko J.
Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
title Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
title_full Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
title_fullStr Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
title_full_unstemmed Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
title_short Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
title_sort exactly solving the kitaev chain and generating majorana-zero-modes out of noisy qubits
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9674617/
https://www.ncbi.nlm.nih.gov/pubmed/36400947
http://dx.doi.org/10.1038/s41598-022-24341-z
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