{ "id": "quant-ph/0006006", "version": "v1", "published": "2000-06-01T11:33:26.000Z", "updated": "2000-06-01T11:33:26.000Z", "title": "Quorum of observables for universal quantum estimation", "authors": [ "G. Mauro D'Ariano", "Lorenzo Maccone", "Matteo G. A. Paris" ], "comment": "Latex, no figures", "journal": "J. Phys. A vol 34, 93 (2001).", "doi": "10.1088/0305-4470/34/1/307", "categories": [ "quant-ph" ], "abstract": "Any method for estimating the ensemble average of arbitrary operator (observables or not, including the density matrix) relates the quantity of interest to a complete set of observables, i.e. a quorum}. This corresponds to an expansion on an irreducible set of operators in the Liouville space. We give two general characterizations of these sets. All the known unbiased reconstruction techniques, i.e. ``quantum tomographies'', can be described in this framework. New operatorial resolutions are given that can be used to implement novel reconstruction schemes.", "revisions": [ { "version": "v1", "updated": "2000-06-01T11:33:26.000Z" } ], "analyses": { "keywords": [ "universal quantum estimation", "observables", "implement novel reconstruction schemes", "arbitrary operator", "general characterizations" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2001, "month": "Jan", "volume": 34, "number": 1, "pages": 93 }, "note": { "typesetting": "LaTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001JPhA...34...93M" } } }