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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 19, 2018
Source ID
10.21468/scipostphys.5.1.004

Entities

People

  • Andrey E Antipov
  • Bela Bauer
  • Jason Alicea
  • Ryan Mishmash
  • Torsten Karzig

Organizations

  • Army Research Office
  • California Institute of Technology
  • Gordon and Betty Moore Foundation
  • Microsoft
  • National Science Foundation

Tags

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Science - Quantum Dots