{ "id": "1803.08855", "version": "v2", "published": "2018-03-23T16:01:46.000Z", "updated": "2018-11-06T15:46:36.000Z", "title": "Preparation of arbitrary quantum states with regular $P$~functions", "authors": [ "B. Kühn", "W. Vogel" ], "comment": "13 pages, 7 figures", "journal": "Phys. Rev. A 98, 053807 (2018)", "doi": "10.1103/PhysRevA.98.053807", "categories": [ "quant-ph" ], "abstract": "We propose a quantum optical device to experimentally realize quantum processes, which perform the regularization of the---in general highly singular---Glauber-Sudarshan $P$~functions of arbitrary quantum states before their application and/or measurement. This allows us to produce a broad class of nonclassical states with regular $P$~functions, also called nonclassicality quasiprobabilities. For this purpose, the input states are combined on highly transmissive beam splitters with specific Gaussian or non-Gaussian classical states. We study both balanced and unbalanced homodyne detections for the direct sampling of the output states of the implemented processes, which requires no further regularization or state-reconstruction. By numerical simulations we demonstrate the feasibility of our approach and we outline the generalization to multimode light.", "revisions": [ { "version": "v2", "updated": "2018-11-06T15:46:36.000Z" } ], "analyses": { "keywords": [ "arbitrary quantum states", "preparation", "the-in general highly singular-glauber-sudarshan", "input states", "regularization" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }