Dynamics of Majorana-based qubits operated with an array of tunable gates
Bela Bauer, Torsten Karzig, Ryan V. Mishmash, Andrey E. Antipov, Jason Alicea
SciPost Phys. 5, 004 (2018) · published 19 July 2018
- doi: 10.21468/SciPostPhys.5.1.004
- Submissions/Reports
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.
Cited by 40
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Bela Bauer,
- 1 Torsten Karzig,
- 2 Ryan Mishmash,
- 1 Andrey Antipov,
- 2 Jason Alicea
- Army Research Office (ARO) (through Organization: United States Army Research Laboratory [ARL])
- Gordon and Betty Moore Foundation
- National Science Foundation [NSF]