Readout of Majorana bound states via Landau-Zener transition

• URL: http://arxiv.org/abs/2012.05785v2
• Date: Mon, 13 Sep 2021 01:58:59 GMT
• Title: Readout of Majorana bound states via Landau-Zener transition
• Authors: Zhen-Tao Zhang and Dong E. Liu
• Abstract summary: Reading out Majorana bound states (MBSs) is essential 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) 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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