{ "id": "quant-ph/0611271", "version": "v1", "published": "2006-11-28T10:44:34.000Z", "updated": "2006-11-28T10:44:34.000Z", "title": "Entanglement entropy and the simulation of Quantum Mechanics", "authors": [ "Jose I. Latorre" ], "comment": "9 pages. Contribution to the Proceedings of the IRGAC conference held at Barcelona, July 2006", "journal": "J.Phys.A40:6689-6697,2007", "doi": "10.1088/1751-8113/40/25/S13", "categories": [ "quant-ph", "cond-mat.other", "hep-th" ], "abstract": "The relation between entanglement entropy and the computational difficulty of classically simulating Quantum Mechanics is briefly reviewed. Matrix product states are proven to provide an efficient representation of one-dimensional quantum systems. Further applications of the techniques based on matrix product states, some of their spin-off and their recent generalizations to scale invariant theories and higher dimensions systems are also discussed.", "revisions": [ { "version": "v1", "updated": "2006-11-28T10:44:34.000Z" } ], "analyses": { "subjects": [ "03.65.Ud", "75.10.Pq", "03.70.+k" ], "keywords": [ "entanglement entropy", "matrix product states", "simulation", "one-dimensional quantum systems", "scale invariant theories" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 733060 } } }