Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains

The possibility of engineering artificial Kitaev chains in arrays of quantum dots coupled via narrow superconducting regions has emerged as an attractive way to overcome the disorder issues that complicate the realization and detection of topological superconducting phases in other platforms. Althou...

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Detalles Bibliográficos
Autores: Tsintzis, A., Seoane Souto, Rubén, Flensberg, K., Danon, J., Leijnse, M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/389051
Acceso en línea:http://hdl.handle.net/10261/389051
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184665209&doi=10.1103%2fPRXQuantum.5.010323&partnerID=40&md5=4291fac792296f403bdfd6b9e79f9d4d
Access Level:acceso abierto
Palabra clave:Majorana bound states
Majorana fermions
Mesoscopics
Superconductivity
Quantum dots
Quantum master equation
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spelling Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev ChainsTsintzis, A.Seoane Souto, RubénFlensberg, K.Danon, J.Leijnse, M.Majorana bound statesMajorana fermionsMesoscopicsSuperconductivityQuantum dotsQuantum master equationThe possibility of engineering artificial Kitaev chains in arrays of quantum dots coupled via narrow superconducting regions has emerged as an attractive way to overcome the disorder issues that complicate the realization and detection of topological superconducting phases in other platforms. Although a true topological phase would require long chains, a two-site chain realized in a double quantum dot can already be tuned to points in parameter space where it hosts zero-energy states that seem identical to the Majorana bound states that characterize a topological phase. These states have been named "poor man's Majorana bound states"(PMMs) because they lack formal topological protection. In this work, we propose a pathway for next-generation experiments on PMMs. The pathway starts with experiments to characterize a single pair of PMMs by measuring the Majorana quality and then moves on to initialization and readout of the parity of a PMM pair, which allows the measurement of quasiparticle poisoning times. The next step is to couple two PMM systems to form a qubit. We discuss measurements of the coherence time of such a qubit, as well as a test of Majorana fusion rules in the same setup. Finally, we propose and analyze three different types of braidinglike experiments that require more complex device geometries. Our conclusions are supported by calculations based on a realistic model with interacting and spinful quantum dots, as well as by simpler models to gain physical insight. Our calculations show that it is indeed possible to demonstrate non-Abelian physics in minimal two-site Kitaev chains despite the lack of a true topological phase. However, our findings also reveal that doing so requires some extra care, appropriately modified protocols, and awareness of the details of this particular platform. © 2024 authors. Published by the American Physical Society.We acknowledge stimulating discussions with Michael Wimmer and Tom Dvir. This work has received funding from the Knut and Alice Wallenberg Foundation, the European Research Council (ERC) via the European Union (EU) Horizon 2020 research and innovation program, under Grant Agreement No. 856526, the Spanish Comunidad de Madrid (CM) “Talento Program” (Project No. 2022-T1/IND-24070), the Spanish Ministry of Science, innovation, and Universities through Grant PID2022- 140552NA-I00, the Swedish Research Council under Grant Agreement No. 2020-03412, the EU Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 10103324, NanoLund, and the Novo Nordisk Foundation (NNF), under Grant No. NNF22SA0081175 (NNF Quantum Computing Programme). The computations were enabled by resources provided by the National Academic Infrastructure for Supercomputing in Sweden (NAISS) at PDC, the Center for High-Performance Computing at the Royal Institute of Technology (KTH), partially funded by the Swedish Research Council through Grant Agreement No. 2022-06725.Peer reviewedAmerican Physical SocietyConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/389051https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184665209&doi=10.1103%2fPRXQuantum.5.010323&partnerID=40&md5=4291fac792296f403bdfd6b9e79f9d4dreponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésPRX Quantumhttps://doi.org/10.1103/PRXQuantum.5.010323Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3890512026-05-22T06:33:51Z
dc.title.none.fl_str_mv Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
title Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
spellingShingle Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
Tsintzis, A.
Majorana bound states
Majorana fermions
Mesoscopics
Superconductivity
Quantum dots
Quantum master equation
title_short Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
title_full Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
title_fullStr Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
title_full_unstemmed Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
title_sort Majorana Qubits and Non-Abelian Physics in Quantum Dot-Based Minimal Kitaev Chains
dc.creator.none.fl_str_mv Tsintzis, A.
Seoane Souto, Rubén
Flensberg, K.
Danon, J.
Leijnse, M.
author Tsintzis, A.
author_facet Tsintzis, A.
Seoane Souto, Rubén
Flensberg, K.
Danon, J.
Leijnse, M.
author_role author
author2 Seoane Souto, Rubén
Flensberg, K.
Danon, J.
Leijnse, M.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Majorana bound states
Majorana fermions
Mesoscopics
Superconductivity
Quantum dots
Quantum master equation
topic Majorana bound states
Majorana fermions
Mesoscopics
Superconductivity
Quantum dots
Quantum master equation
description The possibility of engineering artificial Kitaev chains in arrays of quantum dots coupled via narrow superconducting regions has emerged as an attractive way to overcome the disorder issues that complicate the realization and detection of topological superconducting phases in other platforms. Although a true topological phase would require long chains, a two-site chain realized in a double quantum dot can already be tuned to points in parameter space where it hosts zero-energy states that seem identical to the Majorana bound states that characterize a topological phase. These states have been named "poor man's Majorana bound states"(PMMs) because they lack formal topological protection. In this work, we propose a pathway for next-generation experiments on PMMs. The pathway starts with experiments to characterize a single pair of PMMs by measuring the Majorana quality and then moves on to initialization and readout of the parity of a PMM pair, which allows the measurement of quasiparticle poisoning times. The next step is to couple two PMM systems to form a qubit. We discuss measurements of the coherence time of such a qubit, as well as a test of Majorana fusion rules in the same setup. Finally, we propose and analyze three different types of braidinglike experiments that require more complex device geometries. Our conclusions are supported by calculations based on a realistic model with interacting and spinful quantum dots, as well as by simpler models to gain physical insight. Our calculations show that it is indeed possible to demonstrate non-Abelian physics in minimal two-site Kitaev chains despite the lack of a true topological phase. However, our findings also reveal that doing so requires some extra care, appropriately modified protocols, and awareness of the details of this particular platform. © 2024 authors. Published by the American Physical Society.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/389051
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184665209&doi=10.1103%2fPRXQuantum.5.010323&partnerID=40&md5=4291fac792296f403bdfd6b9e79f9d4d
url http://hdl.handle.net/10261/389051
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184665209&doi=10.1103%2fPRXQuantum.5.010323&partnerID=40&md5=4291fac792296f403bdfd6b9e79f9d4d
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv PRX Quantum
https://doi.org/10.1103/PRXQuantum.5.010323
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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