Quantum computations with topological edge states

TL;DR

This paper explores using topological edge states in gapped 2D systems, specifically Majorana modes, to implement quantum computations, including state transfer and two-qubit gates, within the Kitaev model.

Contribution

It demonstrates a novel approach to quantum computation using Majorana edge states in the Kitaev model, simplifying manipulations of topological qubits.

Findings

Successful implementation of quantum-state transfer along the edge

Proposal for two-qubit gates mediated by edge modes

Potential for scalable topological quantum computing

Abstract

Topological quantum computations can be implemented with local Majorana zero modes. To simplify manipulations, one can use Majorana edge states in gapped two-dimensional systems. Here we demonstrate how this approach can be used for a Kitaev hexagonal model and discuss implementation of quantum-state transfer along the edge and two-qubit gates mediated by the edge modes.