Probing nontrivial fusion of Majorana zero modes via near-adiabatic coupling

TL;DR

This paper introduces a near-adiabatic coupling scheme for probing the nontrivial fusion of Majorana zero modes, enabling practical measurements by avoiding complex charge oscillations and extracting key quantum information.

Contribution

It proposes a novel near-adiabatic coupling method for Majorana zero modes fusion, with detailed simulations based on a lattice model to facilitate experimental feasibility.

Findings

Successful simulation of effective coupling between MZMs and quantum dot.

Method to extract fermion parity violation during MZM fusion.

Avoidance of charge oscillation complexity in measurements.

Abstract

We propose and simulate a near-adiabatically coupling probing scheme for nontrivial fusion of a pair of Majorara zero modes (MZMs). The scheme can avoid the complexity of oscillating charge occupation in the probing quantum dot, making thus practical measurements more feasible. We also show how to extract the information of nonadiabatic transition and fermion parity violation caused during moving the MZMs together to fuse, from the initial states prepared with definite fermion parity. All the simulations, including the effective coupling between the fusing MZMs, and their coupling to the probing quantum dot, are based on the lattice model of a Rashba quantum wire in proximity contact with an s-wave superconductor, under the modulation of mini-gate voltage control.