Topologically protected braiding in a single wire using Floquet Majorana modes
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.
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.Attached Files
Published - PhysRevB.100.041102.pdf
Submitted - 1808.07066.pdf
Supplemental Material - braiding_supplemental.pdf
Files
Additional details
- Eprint ID
- 95065
- Resolver ID
- CaltechAUTHORS:20190429-083156058
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Binational Science Foundation (USA-Israel)
- Israel Science Foundation
- European Research Council (ERC)
- 340210
- European Research Council (ERC)
- 788715
- Deutsche Forschungsgemeinschaft (DFG)
- CRC 183
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- David and Lucile Packard Foundation
- NSF
- PHY-1607761
- Created
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2019-04-29Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics