Dynamics of Majorana-based qubits operated with an array of tunable gates
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.
Additional Information
© 2018 B. Bauer et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 31-03-2018; Accepted 21-06-2018; Published 19-07-2018. We thank P. Schmitteckert, S. Plugge, and M. Endres for useful discussions. JA gratefully acknowledges partial support from the National Science Foundation through grant DMR-1723367 and the Army Research Office under Grant Award W911NF-17-1-0323. This research was also supported by the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant GBMF1250, and the Walter Burke Institute for Theoretical Physics at Caltech (RVM and JA).Attached Files
Published - SciPostPhys_5_1_004.pdf
Submitted - 1803.05451v2.pdf
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Additional details
- Eprint ID
- 95645
- Resolver ID
- CaltechAUTHORS:20190521-132353909
- NSF
- DMR-1723367
- Army Research Office (ARO)
- W911NF-17-1-0323
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- GBMF1250
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
-
2019-05-21Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics