Karzig, Torsten and Rahmani, Armin and von Oppen, Felix and Refael, Gil (2015) Optimal control of Majorana zero modes. Physical Review B, 91 (20). Art. No. 201404. ISSN 1098-0121. doi:10.1103/PhysRevB.91.201404. https://resolver.caltech.edu/CaltechAUTHORS:20150604-124203880
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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.
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| 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.). | ||||||||||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||
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| Issue or Number: | 20 | ||||||||||||||||||||||
| Classification Code: | PACS: 71.10.Pm, 02.30.Yy, 03.67.Lx, 74.40.Gh | ||||||||||||||||||||||
| DOI: | 10.1103/PhysRevB.91.201404 | ||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20150604-124203880 | ||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150604-124203880 | ||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||
| ID Code: | 58002 | ||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||||
| Deposited On: | 04 Jun 2015 19:53 | ||||||||||||||||||||||
| Last Modified: | 10 Nov 2021 21:57 |
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