{ "id": "2012.05785", "version": "v2", "published": "2020-12-10T16:21:38.000Z", "updated": "2021-09-13T01:58:59.000Z", "title": "Readout of Majorana bound states via Landau-Zener transition", "authors": [ "Zhen-Tao Zhang", "Dong E. Liu" ], "comment": "7 pages, 5 figures", "journal": "Phys. Rev. B 103, 195401 (2021)", "doi": "10.1103/PhysRevB.103.195401", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "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.", "revisions": [ { "version": "v2", "updated": "2021-09-13T01:58:59.000Z" } ], "analyses": { "keywords": [ "majorana bound states", "landau-zener transition", "low frequency charge fluctuation", "mbss collapses step", "weak measurement" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }