{ "id": "quant-ph/0210068", "version": "v2", "published": "2002-10-10T11:43:17.000Z", "updated": "2002-10-11T11:17:43.000Z", "title": "An information-theoretic analysis of Grover's algorithm", "authors": [ "Erdal Arikan" ], "comment": "8 pages, 1 figure, minor corrections", "categories": [ "quant-ph" ], "abstract": "Grover discovered a quantum algorithm for identifying a target element in an unstructured search universe of N items in approximately square-root of N queries to a quantum oracle, thus achieving a square-root speed-up over classical algorithms. We present an information-theoretic analysis of Grover's algorithm and show that the square-root speed-up is the best attainable result using Grover's oracle.", "revisions": [ { "version": "v2", "updated": "2002-10-11T11:17:43.000Z" } ], "analyses": { "keywords": [ "grovers algorithm", "information-theoretic analysis", "square-root speed-up", "best attainable result", "target element" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002quant.ph.10068A" } } }