Topological Protection of Majorana Qubits
We study the stability of the topological quantum computation proposals involving Majorana fermions against thermal fluctuations. We use a minimal realistic model of a spinless px+ipy superconductor and consider effect of excited midgap states localized in the vortex core as well as of transitions a...
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ftdatacite:10.48550/arxiv.1112.3662 2023-05-15T16:55:51+02:00 Topological Protection of Majorana Qubits Cheng, Meng Lutchyn, Roman M. Sarma, S. Das 2011 https://dx.doi.org/10.48550/arxiv.1112.3662 https://arxiv.org/abs/1112.3662 unknown arXiv https://dx.doi.org/10.1103/physrevb.85.165124 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Superconductivity cond-mat.supr-con FOS Physical sciences article-journal Article ScholarlyArticle Text 2011 ftdatacite https://doi.org/10.48550/arxiv.1112.3662 https://doi.org/10.1103/physrevb.85.165124 2022-04-01T13:54:13Z We study the stability of the topological quantum computation proposals involving Majorana fermions against thermal fluctuations. We use a minimal realistic model of a spinless px+ipy superconductor and consider effect of excited midgap states localized in the vortex core as well as of transitions above the bulk superconducting gap on the quasiparticle braiding, interferometry-based qubit read-out schemes, and quantum coherence of the topological qubits. We find that thermal occupation of the midgap states does not affect adiabatic braiding operations but leads to a reduction in the visibility of the interferometry measurements. We also consider quantum decoherence of topological qubits at finite temperatures and calculate their decay rate which is associated with the change of the fermion parity and, as such, is exponentially suppressed at temperatures well below the bulk excitation gap. Our conclusion is that the Majorana-based topological quantum computing schemes are indeed protected by the virtue of the quantum non-locality of the stored information and the presence of the bulk superconducting gap. : 8 pages, 1 figure Text IPY DataCite Metadata Store (German National Library of Science and Technology) |
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Superconductivity cond-mat.supr-con FOS Physical sciences |
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Superconductivity cond-mat.supr-con FOS Physical sciences Cheng, Meng Lutchyn, Roman M. Sarma, S. Das Topological Protection of Majorana Qubits |
topic_facet |
Superconductivity cond-mat.supr-con FOS Physical sciences |
description |
We study the stability of the topological quantum computation proposals involving Majorana fermions against thermal fluctuations. We use a minimal realistic model of a spinless px+ipy superconductor and consider effect of excited midgap states localized in the vortex core as well as of transitions above the bulk superconducting gap on the quasiparticle braiding, interferometry-based qubit read-out schemes, and quantum coherence of the topological qubits. We find that thermal occupation of the midgap states does not affect adiabatic braiding operations but leads to a reduction in the visibility of the interferometry measurements. We also consider quantum decoherence of topological qubits at finite temperatures and calculate their decay rate which is associated with the change of the fermion parity and, as such, is exponentially suppressed at temperatures well below the bulk excitation gap. Our conclusion is that the Majorana-based topological quantum computing schemes are indeed protected by the virtue of the quantum non-locality of the stored information and the presence of the bulk superconducting gap. : 8 pages, 1 figure |
format |
Text |
author |
Cheng, Meng Lutchyn, Roman M. Sarma, S. Das |
author_facet |
Cheng, Meng Lutchyn, Roman M. Sarma, S. Das |
author_sort |
Cheng, Meng |
title |
Topological Protection of Majorana Qubits |
title_short |
Topological Protection of Majorana Qubits |
title_full |
Topological Protection of Majorana Qubits |
title_fullStr |
Topological Protection of Majorana Qubits |
title_full_unstemmed |
Topological Protection of Majorana Qubits |
title_sort |
topological protection of majorana qubits |
publisher |
arXiv |
publishDate |
2011 |
url |
https://dx.doi.org/10.48550/arxiv.1112.3662 https://arxiv.org/abs/1112.3662 |
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IPY |
genre_facet |
IPY |
op_relation |
https://dx.doi.org/10.1103/physrevb.85.165124 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1112.3662 https://doi.org/10.1103/physrevb.85.165124 |
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1766046894093500416 |