{ "id": "1310.3562", "version": "v2", "published": "2013-10-14T04:40:21.000Z", "updated": "2013-12-06T19:30:30.000Z", "title": "Adiabatic computing using 2-local Hamiltonians on a line", "authors": [ "Brian Pepper" ], "comment": "This paper has been withdrawn by the author due to a critical error in the state transition rules", "categories": [ "quant-ph" ], "abstract": "Here we consider the power of a line of quantum particles under a nearest-neighbor 2-local Hamiltonian. Currently, it has been shown that 8-state particles are sufficient for universal adiabatic computing. We improve this result to show that 7-state particles are sufficient.", "revisions": [ { "version": "v2", "updated": "2013-12-06T19:30:30.000Z" } ], "analyses": { "keywords": [ "hamiltonian", "quantum particles", "sufficient" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.3562P" } } }