Quantum computation at the edge of a disordered Kitaev honeycomb lattice
Mesoscale and Nanoscale Physics
2023-09-27 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.2302.10123,
title = {Quantum computation at the edge of a disordered Kitaev honeycomb lattice},
author = {Igor Timoshuk and Konstantin Tikhonov and Yuriy Makhlin},
journal= {arXiv preprint arXiv:2302.10123},
year = {2023}
}