Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 19: Topology: Majoranas

FM 19.3: Talk

Montag, 23. September 2019, 17:15–17:30, 1199

Parity-to-charge conversion for readout of topological Majorana qubits — •Gábor Széchenyi¹ and András Pályi² — ¹Eötvös University, Budapest, Hungary — ²Budapest University of Technology and Economics, Budapest, Hungary

We theoretically study a scheme to distinguish the two ground states of a one-dimensional topological superconductor, which could serve as a basis for the readout of Majorana qubits. The scheme is based on parity-to-charge conversion, i.e., the ground-state parity of the superconductor is converted to the charge occupation on a tunnel-coupled auxiliary quantum dot. We describe how certain error mechanisms, degrade the quality of the parity-to-charge conversion process. We consider (i) leakage due to a strong readout tunnel pulse, (ii) incomplete charge Rabi oscillations due to slow charge noise, and (iii) charge relaxation due to phonon emission and absorption. To describe these effects, we use simple model Hamiltonians based on the ideal Kitaev chain, and draw conclusions to generic one-dimensional topological superconductors wherever possible. In general, the effects of the error mechanisms can be minimized by choosing an optimal strength for the readout tunnel pulse. In a case study based on InAs heterostructure device parameters, we estimate that the parity-to-charge conversion error is mainly due to slow charge noise for weak tunnel pulses and leakage for strong tunnel pulses.