Freiburg 2019 – scientific programme

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FM: Fall Meeting

FM 64: Poster: Topology

FM 64.2: Poster

Wednesday, September 25, 2019, 16:30–18:30, Tents

Theory of reflectometry-based readout of topological Majorana qubits — •Vahid Derakhshan Maman and Andras Palyi — Budapest University of Technology and Economics, Budapest, Hungary

Qubits based on Majorana zero modes of topological superconductors are thought to be more noise-resilient than conventional qubits. Readout of these qubits is possible only when the topological protection is temporarily lifted, and therefore it is especially important to understand the error mechanisms that affect the readout process. In this work, we theoretically describe errors in a setup where readout is performed using gate reflectometry of an auxiliary quantum dot that is tunnel-coupled to two Majorana zero modes. We use simple tight-binding models (e.g., the few-site Kitaev chain), and we describe readout error caused by low-frequency charge noise. We quantify the readout error as the function of model parameters (proximity-induced gap, strength of charge noise, system size, etc.), and thereby provide guidelines for the design and interpretation of future dynamical experiments aiming at control and readout of topological Majorana qubits.