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.

中文翻译：

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基于噪声量子点的 Majorana 量子位测量的可见性

基于量子点 (QD) 的马约拉纳零模 (MZM) 测量方案是当前令人感兴趣的，因为它们为拓扑量子计算提供了可扩展的平台。在耦合 qubit-QD 设置中，我们计算了 QD 的电荷及其差分电容对 2-MZM 和 4-MZM 测量的实验可调参数的依赖性。我们通过考虑失谐、隧道振幅或相位中的 $1/f$ 噪声来量化噪声对测量可见性的影响。我们发现共振或接近共振测量通常更可取，并使用保守的噪声估计预测，耦合到 QD 的噪声不会限制拓扑量子位的高保真测量。