{ "id": "0812.0694", "version": "v1", "published": "2008-12-03T11:18:05.000Z", "updated": "2008-12-03T11:18:05.000Z", "title": "Quantum annealing and the Schrödinger-Langevin-Kostin equation", "authors": [ "Diego de Falco", "Dario Tamascelli" ], "comment": "5 pages, 4 figures. To appear on Physical Review A", "journal": "Phys. Rev. A 79 (2009) 012315", "doi": "10.1103/PhysRevA.79.012315", "categories": [ "quant-ph" ], "abstract": "We show, in the context of quantum combinatorial optimization, or quantum annealing, how the nonlinear Schr\\\"odinger-Langevin-Kostin equation can dynamically drive the system toward its ground state. We illustrate, moreover, how a frictional force of Kostin type can prevent the appearance of genuinely quantum problems such as Bloch oscillations and Anderson localization which would hinder an exhaustive search.", "revisions": [ { "version": "v1", "updated": "2008-12-03T11:18:05.000Z" } ], "analyses": { "subjects": [ "03.67.Lx", "03.67.Ac", "05.40.Fb", "42.65.Pc" ], "keywords": [ "schrödinger-langevin-kostin equation", "quantum annealing", "quantum combinatorial optimization", "frictional force", "bloch oscillations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2009, "month": "Jan", "volume": 79, "number": 1, "pages": "012315" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvA..79a2315D" } } }