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

by Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea

Submission summary

As Contributors: Andrey Antipov · Torsten Karzig
Arxiv Link: https://arxiv.org/abs/1803.05451v2
Date accepted: 2018-06-21
Date submitted: 2018-06-14
Submitted by: Karzig, Torsten
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approach: Theoretical

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.

Ontology / Topics

See full Ontology or Topics database.

Landau-Zener problem Majorana zero modes Qubits Rabi oscillations Superconducting nanowires Superconductivity/superconductors

Published as SciPost Phys. 5, 004 (2018)



Author comments upon resubmission

Minor modifications and clarifications addressing the referee reports. See list of changes and referee replies for details.

List of changes

- Added references [28,29].
- Typo corrected in Eq. (14).
- Comment added to the end of Sec. II.A comparing the non-adiabatic time scales $\tau_0$ with other schemes [18-22].
- Comment added to Sec. II.B mentioning the eventual crossover from exponential to power-law behavior of the non-adiabatic error with time.
- Units added to the time scales $\tau_2$ in Figs. 7 and 8.
- Paragraph added to the end of Sec. III.A commenting on decoherence processes.

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