{ "id": "quant-ph/0012015", "version": "v1", "published": "2000-12-04T16:33:14.000Z", "updated": "2000-12-04T16:33:14.000Z", "title": "Optimal estimation of quantum dynamics", "authors": [ "A. Acin", "E. Jane", "G. Vidal" ], "comment": "4 pages, REVTEX", "journal": "Phys. Rev. A 64, 050302(R) (2001).", "doi": "10.1103/PhysRevA.64.050302", "categories": [ "quant-ph" ], "abstract": "We construct the optimal strategy for the estimation of an unknown unitary transformation $U\\in SU(d)$. This includes, in addition to a convenient measurement on a probe system, finding which is the best initial state on which $U$ is to act. When $U\\in SU(2)$, such an optimal strategy can be applied to estimate simultaneously both the direction and the strength of a magnetic field, and shows how to use a spin 1/2 particle to transmit information about a whole coordinate system instead of only a direction in space.", "revisions": [ { "version": "v1", "updated": "2000-12-04T16:33:14.000Z" } ], "analyses": { "keywords": [ "quantum dynamics", "optimal estimation", "optimal strategy", "coordinate system", "unknown unitary transformation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }