{ "id": "quant-ph/9903061", "version": "v1", "published": "1999-03-17T19:34:49.000Z", "updated": "1999-03-17T19:34:49.000Z", "title": "On Quantum Algorithms", "authors": [ "R. Cleve", "A. Ekert", "L. Henderson", "C. Macchiavello", "M. Mosca" ], "comment": "15 pages, 8 figures", "journal": "Complexity 4 (1998) 33", "categories": [ "quant-ph" ], "abstract": "Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. In effect, they follow the same logical paradigm as (multi-particle) interferometers. We show how most known quantum algorithms, including quantum algorithms for factorising and counting, may be cast in this manner. Quantum searching is described as inducing a desired relative phase between two eigenvectors to yield constructive interference on the sought elements and destructive interference on the remaining terms.", "revisions": [ { "version": "v1", "updated": "1999-03-17T19:34:49.000Z" } ], "analyses": { "keywords": [ "quantum algorithms", "enhance correct outcomes", "computational paths", "quantum interference", "suppress erroneous outcomes" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 496937, "adsabs": "1999quant.ph..3061C" } } }