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arXiv · 1803.05451

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

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

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Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea. 2018-03-14. Dynamics of Majorana-based qubits operated with an array of tunable gates. https://doi.org/10.21468/scipostphys.5.1.004

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