Majorana Edge Modes as Quantum Memory for Topological Quantum Computing

TL;DR

This paper proposes a novel platform combining Majorana edge modes and zero modes in 2D topological superconductors to enable fault-tolerant quantum gates, with detailed simulations demonstrating their effectiveness.

Contribution

It introduces a new approach using Majorana modes as quantum memory and demonstrates the implementation of quantum gates through full many-body dynamics simulation.

Findings

Successful simulation of $Z$, $X$, and Hadamard gates

Majorana edge modes function as quantum memory

Platform enables fault-tolerant quantum computing

Abstract

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of fault-tolerant quantum gates. By calculating the full many-body dynamics of the system, we demonstrate the successful simulation and visualization of $Z$-, $X$- and Hadamard gates, with MEMs being functionalized as quantum memory. Our results open a new platform for the efficient implementation of fault-tolerant quantum computing.