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APS

Interfacing Conventional and Topological Qubits in Optical Lattices

Garry Goldstein, Liang Jiang, Mikhail D. Lukin

Published Mar 1, 2010• 0 citations
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Hybrid architectures, consisting of conventional and topological qubits, have recently attracted much attention due to their capability in consolidating robustness of topological qubits and universality of conventional qubits. However, these two kinds of qubits are normally constructed in significantly different energy scales, and thus the energy mismatch is a major obstacle for their coupling, which can support the exchange of quantum information between them. Here we propose a microwave photonic quantum bus for a strong direct coupling between the topological and conventional qubits, where the energy mismatch is compensated by an external driving field. In the framework of tight-binding simulation and perturbation approach, we show that the energy splitting of Majorana fermions in a finite length nanowire, which we use to define topological qubits, is still robust against local perturbations due to the topology of the system. Therefore, the present scheme realizes a rather robust interface between the flying and topological qubits. Finally, we demonstrate that this quantum bus can also be used to generate multipartitie entangled states with the topological qubits.
Research into hybrid quantum systems featuring both conventional and topological qubits is of keen interest for quantum information processing, and a key challenge is to realize a coherent interface between such qubits of different nature. The authors find that a topological qubit can be interfaced to a single nitrogen-vacancy center via a magnetized torsional cantilever. Topology-torsion couplings are induced by the magneto-Josephson effect, while spin-torsion couplings are realized by the exquisite preparation of dressed spin states. These coherent interactions can reach the strong-coupling regime, and enable a mechanically-dark-state protocol for quantum state conversion.