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

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

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 quan...

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Main Author: Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea
Format: Article
Language:English
Published: SciPost 2018-07-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.5.1.004
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spelling doaj-dc589d6c00f24f45a99866d6658249dd2020-11-25T00:18:43ZengSciPostSciPost Physics2542-46532018-07-015100410.21468/SciPostPhys.5.1.004Dynamics of Majorana-based qubits operated with an array of tunable gatesBela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason AliceaWe 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.https://scipost.org/SciPostPhys.5.1.004
collection DOAJ
language English
format Article
sources DOAJ
author Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea
spellingShingle Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea
Dynamics of Majorana-based qubits operated with an array of tunable gates
SciPost Physics
author_facet Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea
author_sort Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea
title Dynamics of Majorana-based qubits operated with an array of tunable gates
title_short Dynamics of Majorana-based qubits operated with an array of tunable gates
title_full Dynamics of Majorana-based qubits operated with an array of tunable gates
title_fullStr Dynamics of Majorana-based qubits operated with an array of tunable gates
title_full_unstemmed Dynamics of Majorana-based qubits operated with an array of tunable gates
title_sort dynamics of majorana-based qubits operated with an array of tunable gates
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2018-07-01
description 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.
url https://scipost.org/SciPostPhys.5.1.004
work_keys_str_mv AT belabauertorstenkarzigryanvmishmashandreyeantipovjasonalicea dynamicsofmajoranabasedqubitsoperatedwithanarrayoftunablegates
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