{ "id": "0907.5449", "version": "v3", "published": "2009-07-31T00:25:37.000Z", "updated": "2013-04-27T17:11:17.000Z", "title": "Contextuality in Measurement-based Quantum Computation", "authors": [ "Robert Raussendorf" ], "comment": "Version 3: probabilistic version of Theorem 1 added", "doi": "10.1103/PhysRevA.88.022322", "categories": [ "quant-ph" ], "abstract": "We show, under natural assumptions for qubit systems, that measurement-based quantum computations (MBQCs) which compute a non-linear Boolean function with high probability are contextual. The class of contextual MBQCs includes an example which is of practical interest and has a super-polynomial speedup over the best known classical algorithm, namely the quantum algorithm that solves the Discrete Log problem.", "revisions": [ { "version": "v3", "updated": "2013-04-27T17:11:17.000Z" } ], "analyses": { "keywords": [ "measurement-based quantum computation", "contextuality", "discrete log problem", "non-linear boolean function", "high probability" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.5449R" } } }