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Reading out Majorana bound states (MBSs) is essential both to verify theirnon-Abelian property and to realize topological quantum computation. Here, weconstruct a protocol to measure the parity of two MBSs in a Majorana islandcoupled to double quantum dot (DQD). The parity information is mapped to thecharge state of the DQD through Landau-Zener transition. The operation neededis sweeping the bias of the DQD, which is followed by charge sensing. In thecase without fine-tuning, a single run of sweep-and-detection implement a weakmeasurement of the parity. We find that in general a sequence of about ten runswould completely project a superposition state to either parity, and the chargedetection in each run records how the state of MBSs collapses step by step.Remarkably, this readout protocol is of non-demolition and robust to lowfrequency charge fluctuation.

Readout of Majorana bound states via Landau-Zener transition