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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
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Andrey Antipov · Torsten Karzig |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1803.05451v2 (pdf) |
| Date accepted: | 2018-06-21 |
| Date submitted: | 2018-06-14 02:00 |
| Submitted by: | Karzig, Torsten |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
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.
Published as SciPost Phys. 5, 004 (2018)