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Optimal control of Majorana zero modes

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. http://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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.91.201404DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.91.201404PublisherArticle
http://arxiv.org/abs/1412.5603arXivDiscussion Paper
ORCID:
AuthorORCID
Karzig, Torsten0000-0003-0834-0547
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:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
David and Lucile Packard FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Department of Energy (DOE)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Canadian Institute for Advanced Research (CIFAR)UNSPECIFIED
Max Planck–UBC Centre for Quantum MaterialsUNSPECIFIED
Helmholtz Virtual InstituteUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)SPP1285
Classification Code:PACS: 71.10.Pm, 02.30.Yy, 03.67.Lx, 74.40.Gh
Record Number:CaltechAUTHORS:20150604-124203880
Persistent URL:http://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:21 Jun 2017 23:01

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