{ "id": "1302.0882", "version": "v1", "published": "2013-02-04T21:55:39.000Z", "updated": "2013-02-04T21:55:39.000Z", "title": "Measurement of a qubit and measurement with a qubit", "authors": [ "Antonio Di Lorenzo" ], "comment": "18 pages, 1 figure, 1 table. Comments welcome", "categories": [ "quant-ph" ], "abstract": "Generally, the measurement process consists in coupling a system to a detector that can give a continuous output. However, it may be interesting to use as a detector a system with a discrete spectrum, especially in view of applications to quantum information. Here, we study 1) a two-level system measuring another two-level system (qubit); 2) a generic system measuring a qubit; 3) a qubit measuring a generic system. The results include the case when a postselection on the measured system is made. We provide the exact solution, and also a controlled expansion in the coupling parameter, giving formulas valid in the weak measurement regime for arbitrary preparation and postselection. The concept of generalized Wigner functions is introduced.", "revisions": [ { "version": "v1", "updated": "2013-02-04T21:55:39.000Z" } ], "analyses": { "keywords": [ "two-level system", "generic system", "measurement process consists", "weak measurement regime", "postselection" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.0882D" } } }