Readout of Majorana bound states via Landau-Zener transition

Abstract

Reading out Majorana bound states (MBSs) is essential both to verify their non-Abelian property and to realize topological quantum computation. Here, we construct a protocol to measure the parity of two MBSs in a Majorana island coupled to double quantum dot (DQD). The parity information is mapped to the charge state of the DQD through Landau-Zener transition. The operation needed is sweeping the bias of the DQD, which is followed by charge sensing. In the case without fine-tuning, a single run of sweep-and-detection implement a weak measurement of the parity. We find that in general a sequence of about ten runs would completely project a superposition state to either parity, and the charge detection in each run records how the state of MBSs collapses step by step. Remarkably, this readout protocol is of non-demolition and robust to low frequency charge fluctuation.

7 pages, 5 figures

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Cited by in corpus (5)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations
• Parity readout in Majorana box qubits from the dispersive to the resonant regime