Measuring Majorana fermions qubit state and non-Abelian braiding statistics in quenched inhomogeneous spin ladders

TL;DR

This paper demonstrates how Majorana fermions in a spin ladder model can be used for quantum information processing by reading out qubit states and simulating non-Abelian braiding, advancing topological quantum computation.

Contribution

It introduces a spin ladder model for Majorana fermions, enabling qubit readout and braiding operations through numerical simulations and an exactly solvable T-junction model.

Findings

Majorana qubit states can be read via fusion excitation measurements.

Braiding operations obey non-Abelian statistics in the model.

The scheme offers a platform for topological quantum computation.

Abstract

We study the Majorana fermions (MFs) in a spin ladder model. We propose and numerically show that the MFs qubit state can be read out by measuring the fusion excitation in the quenched inhomogeneous spin ladders. Moreover, we construct an exactly solvable T-junction spin ladder model, which can be used to implement braiding operations of MFs. With the braiding processes simulated numerically as non-equilibrium quench processes, we verify that the MFs in our spin ladder model obey the non-Abelian braiding statistics. Our scheme not only provides a promising platform to study the exotic properties of MFs, but also has broad range of applications in topological quantum computation.