Visibility of noisy quantum dot-based measurements of Majorana qubits

Abstract

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.

16 pages, 10 figures; v2: expanded appendices and minor improvements; v3: expanded appendices and minor improvements

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Cited by in corpus (6)

• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
• Detecting Majorana modes by readout of poisoning-induced parity flips
• Dephasing of Majorana qubits due to quasistatic disorder
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum