Published May 15, 2015
| Published + Submitted
Journal Article
Open
Optimal control of Majorana zero modes
Abstract
Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the scheme relies on infinite braiding times as it utilizes the adiabatic limit. Here we show how to minimize nonadiabatic errors for finite braiding times by finding an optimal protocol for the Majorana movement. Interestingly, these protocols are characterized by sharp transitions between Majorana motion at maximal and minimal velocities. We find that these so-called bang-bang protocols can minimize the nonadiabatic transitions of the system by orders of magnitude in comparison with naive protocols.
Additional Information
© 2015 American Physical Society. Received 9 January 2015; revised manuscript received 17 April 2015; published 11 May 2015. We acknowledge valuable discussions with Chang-Yu Hou and Falko Pientka. This work was funded by the Packard Foundation and the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250 (T.K., G.R.). We also acknowledge support from the US DOE through LANL/LDRD program, NSERC, CIfAR, and Max Planck–UBC Centre for Quantum Materials (A.R.) as well as the Helmholtz Virtual Institute "New states of matter and their excitations" and SPP1285 of the Deutsche Forschungsgemeinschaft (F.v.O.).Attached Files
Published - PhysRevB.91.201404.pdf
Submitted - 1412.5603v2.pdf
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1412.5603v2.pdf
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Additional details
- Eprint ID
- 58002
- Resolver ID
- CaltechAUTHORS:20150604-124203880
- David and Lucile Packard Foundation
- Institute for Quantum Information and Matter (IQIM)
- NSF Physics Frontiers Center
- GBMF1250
- Gordon and Betty Moore Foundation
- Department of Energy (DOE)
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Canadian Institute for Advanced Research (CIFAR)
- Max Planck–UBC Centre for Quantum Materials
- Helmholtz Virtual Institute
- SPP1285
- Deutsche Forschungsgemeinschaft (DFG)
- Created
-
2015-06-04Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter