Transport probe of nonadiabatic transition caused by Majorana moving

Abstract

We propose a transport probe scheme to detect the nonadiabatic transition caused by Majornana moving, which is relevant to the braiding operations in topological quantum computation. The scheme is largely based on a time dependent single-electron-wavefunction approach to quantum transport. Applying the Kitaev model, we simulate the time dependent Andreev-reflection current and examine the feasibility of using the current to infer the nonadiabatic transition. We design a scheme to determine the Landau-Zener tunneling ratio in the context of transport, and compare it with the result obtained from the isolated quantum wire. Desirable agreements are demonstrated for the proposed scheme.

8 pages, 6 figures

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Measurement-Only Topological Quantum Computation
• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Shortcuts to nonabelian braiding
• Majorana Braiding Dynamics on Nanowires
• Optimal Control of Majorana Zero Modes
• Topological Quantum Computing Using Nanowire Devices
• Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
• Majorana braiding gates for topological superconductors in a one dimensional geometry
• Braiding and all quantum operations with Majorana modes in 1D

Cited by in corpus (4)

• Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
• Transport of Majorana Bound State in the presence of telegraph noise
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Transport and fusion of Majorana zero modes in the presence of nonadiabatic transitions