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

### 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

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Published as SciPost Phys. 5, 004 (2018)

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

### List of changes

- Comment added to the end of Sec. II.A comparing the non-adiabatic time scales $\tau_0$ with other schemes [18-22].
- Units added to the time scales $\tau_2$ in Figs. 7 and 8.