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Topologically protected braiding in a single wire using Floquet Majorana modes

Bauer, Bela and Pereg-Barnea, T. and Karzig, Torsten and Rieder, Maria-Theresa and Refael, Gil and Berg, Erez and Oreg, Yuval (2019) Topologically protected braiding in a single wire using Floquet Majorana modes. Physical Review B, 100 (4). Art. No. 041102. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20190429-083156058

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Abstract

Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally formulated for two-dimensional systems, it has been shown that braiding can also be realized using one-dimensional wires by forming an essentially two-dimensional network. Here, we show that in driven systems far from equilibrium, one can do away with the second spatial dimension altogether by instead using quasienergy as the second dimension. To realize this, we use a Floquet topological superconductor which can exhibit Majorana modes at two special eigenvalues of the evolution operator, 0 and π, and thus can realize four Majorana modes in a single, driven quantum wire. We describe and numerically evaluate a protocol that realizes a topologically protected exchange of two Majorana zero modes in a single wire by adiabatically modulating the Floquet drive and using the π modes as auxiliary degrees of freedom.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.100.041102DOIArticle
https://arxiv.org/abs/1808.07066arXivDiscussion Paper
ORCID:
AuthorORCID
Karzig, Torsten0000-0003-0834-0547
Additional Information:© 2019 American Physical Society. Received 1 November 2018; revised manuscript received 4 April 2019; published 3 July 2019. This work was supported by NSERC DG (T.P.-B.), the BSF and ISF grants and by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement MUNATOP No. 340210, and under the European Union's Horizon 2020 Research and Innovation Programme (Grant Agreement LEGOTOP No. 788715) (Y.O.). Y.O. and E.B. acknowledge support from CRC 183 of the Deutsche Forschungsgemeinschaft. G.R. is grateful for support from the Institute of Quantum Information and Matter, an NSF frontier center with support from the Gordon and Betty Moore Foundation, as well as the Packard Foundation. We are also grateful for the hospitality of the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607761, and where part of the work was done.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Binational Science Foundation (USA-Israel)UNSPECIFIED
Israel Science FoundationUNSPECIFIED
European Research Council (ERC)340210
European Research Council (ERC)788715
Deutsche Forschungsgemeinschaft (DFG)CRC 183
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
NSFPHY-1607761
Record Number:CaltechAUTHORS:20190429-083156058
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190429-083156058
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95065
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Apr 2019 15:50
Last Modified:08 Jul 2019 18:07

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