{ "id": "quant-ph/0210047", "version": "v1", "published": "2002-10-08T02:44:54.000Z", "updated": "2002-10-08T02:44:54.000Z", "title": "Decoherence in a quantum walk on the line", "authors": [ "Viv Kendon", "Ben Tregenna" ], "comment": "QCMC02 proceedings with added extra eps figure (embedded) and section headings, 5 pages", "categories": [ "quant-ph" ], "abstract": "We have studied how decoherence affects a quantum walk on the line. As expected, it is highly sensitive, consisting as it does of an extremely delocalized particle. We obtain an expression for the rate at which the standard deviation falls from the quantum value as decoherence increases and show that it is proportional to the number of decoherence \"events\" occuring during the walk.", "revisions": [ { "version": "v1", "updated": "2002-10-08T02:44:54.000Z" } ], "analyses": { "keywords": [ "quantum walk", "standard deviation falls", "decoherence affects", "quantum value", "decoherence increases" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002quant.ph.10047K" } } }