{ "id": "quant-ph/0702211", "version": "v2", "published": "2007-02-23T19:28:02.000Z", "updated": "2007-05-08T19:39:46.000Z", "title": "Parameter estimation for mixed states from a single copy", "authors": [ "Thomas Konrad", "Otfried Gühne", "Jürgen Audretsch", "Hans J. Briegel" ], "comment": "9 pages, 3 figures, v2: small changes, to appear in PRA", "journal": "Phys. Rev. A 75, 062101 (2007)", "doi": "10.1103/PhysRevA.75.062101", "categories": [ "quant-ph" ], "abstract": "Given a single copy of a mixed state of the form \\rho=\\lambda\\rho_1+(1-\\lambda)\\rho_2, what is the optimal measurement to estimate the parameter \\lambda, if \\rho_1 and \\rho_2 are known? We present a general strategy to obtain the optimal measurements employing a Bayesian estimator. The measurements are chosen to minimize the deviation between the estimated- and the true value of \\lambda. We explicitly determine the optimal measurements for a general two-dimensional system and for important higher dimensional cases.", "revisions": [ { "version": "v2", "updated": "2007-05-08T19:39:46.000Z" } ], "analyses": { "keywords": [ "single copy", "mixed state", "parameter estimation", "optimal measurement", "important higher dimensional cases" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }