Measurement schemes of Majorana zero modes (MZMs) based on quantum dots (QDs) are of current interest as they provide a scalable platform for topological quantum computation. In a coupled qubit-QD setup we calculate the dependence of the charge of the QD and its differential capacitance on experimentally tunable parameters for both 2-MZM and 4-MZM measurements. We quantify the effect of noise on the measurement visibility by considering 1/f noise in detuning, tunneling amplitudes or phase. We find that on- or close-to-resonance measurements are generally preferable and predict, using conservative noise estimates, that noise coupling to the QDs is not a limitation to high-fidelity measurements of topological qubits.
@article{arxiv.2007.11024,
title = {Visibility of noisy quantum dot-based measurements of Majorana qubits},
author = {Aleksei Khindanov and Dmitry Pikulin and Torsten Karzig},
journal= {arXiv preprint arXiv:2007.11024},
year = {2021}
}
Comments
16 pages, 10 figures; v2: expanded appendices and minor improvements; v3: expanded appendices and minor improvements