{ "id": "1310.2687", "version": "v3", "published": "2013-10-10T02:55:27.000Z", "updated": "2014-03-31T17:48:59.000Z", "title": "Quantum Fisher information for states in exponential form", "authors": [ "Zhang Jiang" ], "comment": "10 pages", "journal": "Phys. Rev. A 89, 032128 (2014)", "doi": "10.1103/PhysRevA.89.032128", "categories": [ "quant-ph" ], "abstract": "We derive explicit expressions for the quantum Fisher information and the symmetric logarithmic derivative (SLD) of a quantum state in the exponential form; the SLD is expressed in terms of the generator. Applications include quantum-metrology problems with Gaussian states and general thermal states. Specifically, we give the SLD for a Gaussian state in two forms, in terms of its generator and its moments; the Fisher information is also calculated for both forms. Special cases are discussed, including pure, degenerate, and very noisy Gaussian states.", "revisions": [ { "version": "v3", "updated": "2014-03-31T17:48:59.000Z" } ], "analyses": { "subjects": [ "03.65.Ta", "03.67.-a", "06.20.-f" ], "keywords": [ "quantum fisher information", "exponential form", "noisy gaussian states", "general thermal states", "symmetric logarithmic" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2014, "month": "Mar", "volume": 89, "number": 3, "pages": "032128" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1258027, "adsabs": "2014PhRvA..89c2128J" } } }