# Decomposition of split-step quantum walks for simulating Majorana modes and edge states

## TL;DR

This paper presents a method to decompose split-step quantum walks into simpler walks, enabling easier optical simulation of Majorana modes and edge states without complex control requirements.

## Contribution

The authors introduce a novel decomposition technique that simplifies the implementation of split-step quantum walks for simulating topological phenomena.

## Key findings

- Feasible linear optical realization of split-step quantum walks
- Simulation of Majorana modes and edge states using the scheme
- Elimination of quantum-control requirements in the implementation

## Abstract

We construct a decomposition procedure for converting split-step quantum walks into ordinary quantum walks with alternating coins, and we show that this decomposition enables a feasible linear optical realization of split-step quantum walks by eliminating quantum-control requirements. As salient applications, we show how our scheme will simulate Majorana modes and edge states.