  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.
