Quantum computation at the edge of a disordered Kitaev honeycomb lattice

• URL: http://arxiv.org/abs/2302.10123v1
• Date: Mon, 20 Feb 2023 17:48:56 GMT
• Title: Quantum computation at the edge of a disordered Kitaev honeycomb lattice
• Authors: Igor Timoshuk, Konstantin Tikhonov, and Yuriy Makhlin
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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