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Dynamics of Majorana-based qubits operated with an array of tunable gates

Bauer, Bela and Karzig, Torsten and Mishmash, Ryan V. and Antipov, Andrey E. and Alicea, Jason (2018) Dynamics of Majorana-based qubits operated with an array of tunable gates. SciPost Physics, 5 (1). Art. No. 004. ISSN 2542-4653. http://resolver.caltech.edu/CaltechAUTHORS:20190521-132353909

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Abstract

We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire. By performing time-dependent simulations of microscopic lattice models, we show that diabatic corrections associated with the moving Majorana modes are quantitatively captured by a simple Landau-Zener description. We further simulate a Rabi-oscillation protocol in a specific qubit design with four Majorana zero modes in a single wire and quantify constraints on the timescales for performing qubit operations in this setup. Our simulations utilize a Majorana representation of the system, which greatly simplifies simulations of superconductors at the mean-field level.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.21468/SciPostPhys.5.1.004DOIArticle
https://arxiv.org/abs/1803.05451arXivDiscussion Paper
ORCID:
AuthorORCID
Karzig, Torsten0000-0003-0834-0547
Antipov, Andrey E.0000-0002-4987-7183
Additional Information:© 2018 B. Bauer et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 31-03-2018; Accepted 21-06-2018; Published 19-07-2018. We thank P. Schmitteckert, S. Plugge, and M. Endres for useful discussions. JA gratefully acknowledges partial support from the National Science Foundation through grant DMR-1723367 and the Army Research Office under Grant Award W911NF-17-1-0323. This research was also supported by the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant GBMF1250, and the Walter Burke Institute for Theoretical Physics at Caltech (RVM and JA).
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1723367
Army Research Office (ARO)W911NF-17-1-0323
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20190521-132353909
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190521-132353909
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95645
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 May 2019 20:44
Last Modified:21 May 2019 20:44

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