Quantum computation at the edge of a disordered Kitaev honeycomb lattice

TL;DR

This paper investigates how chiral Majorana edge states in a disordered Kitaev honeycomb lattice can be used for quantum information processing, demonstrating robustness of quantum gates against realistic disorder levels.

Contribution

It provides a detailed analysis of edge state participation in quantum gates and assesses the impact of disorder on gate fidelity in topological quantum computation.

Findings

Weak disorder does not significantly impair high-fidelity quantum operations.

Edge states can be effectively used for quantum information processing.

Disorder resilience supports practical implementation of topological quantum gates.

Abstract

We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum computations. For the edge of the Kitaev honeycomb model in a topological phase, we discuss how the edge states can participate in quantum-information processing, and consider a two-qubit logic gate between distant external qubits coupled to the edge. Here we analyze the influence of disorder and noise on properties of the edge states and quantum-gate fidelity. We find that realistically weak disorder does not prevent one from implementation of a high-fidelity operation via the edge.