{ "id": "cond-mat/0205280", "version": "v1", "published": "2002-05-14T09:58:30.000Z", "updated": "2002-05-14T09:58:30.000Z", "title": "Theory of Quantum Annealing of an Ising Spin Glass", "authors": [ "Giuseppe E. Santoro", "Roman Martonak", "Erio Tosatti", "Roberto Car" ], "comment": "RevTex, 8 pages, 3 figures", "journal": "SCIENCE, vol 295, pp. 2427-2430 (29 March 2002) (with minor differences)", "doi": "10.1126/science.1068774", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech", "quant-ph" ], "abstract": "Probing the lowest energy configuration of a complex system by quantum annealing was recently found to be more effective than its classical, thermal counterpart. Comparing classical and quantum Monte Carlo annealing protocols on the random two-dimensional Ising model we confirm the superiority of quantum annealing relative to classical annealing. We also propose a theory of quantum annealing, based on a cascade of Landau-Zener tunneling events. For both classical and quantum annealing, the residual energy after annealing is inversely proportional to a power of the logarithm of the annealing time, but the quantum case has a larger power which makes it faster", "revisions": [ { "version": "v1", "updated": "2002-05-14T09:58:30.000Z" } ], "analyses": { "keywords": [ "quantum annealing", "ising spin glass", "quantum monte carlo annealing protocols", "random two-dimensional ising model", "lowest energy configuration" ], "tags": [ "journal article" ], "note": { "typesetting": "RevTeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }