{ "id": "math-ph/0703024", "version": "v1", "published": "2007-03-07T19:29:42.000Z", "updated": "2007-03-07T19:29:42.000Z", "title": "Observer-based Hamiltonian identification for quantum systems", "authors": [ "Mazyar Mirrahimi", "Pierre Rouchon" ], "comment": "25 pages, 10 figures", "categories": [ "math-ph", "math.MP", "math.OC" ], "abstract": "An observer-based Hamiltonian identification algorithm for quantum systems is proposed. For the 2-level case an exponential convergence result based on averaging arguments and some relevant transformations is provided. The convergence for multi-level cases is discussed using some heuristic arguments and the relevance of the method is tested via simulations. Finally, the robustness issue with respect to non-negligible uncertainties and experimental noises is also addressed on simulations.", "revisions": [ { "version": "v1", "updated": "2007-03-07T19:29:42.000Z" } ], "analyses": { "keywords": [ "quantum systems", "observer-based hamiltonian identification algorithm", "exponential convergence result", "experimental noises", "relevant transformations" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math.ph...3024M" } } }