{ "id": "quant-ph/0209071", "version": "v3", "published": "2002-09-10T15:55:10.000Z", "updated": "2003-01-17T06:51:57.000Z", "title": "Scaling of Decoherence Effects in Quantum Computers", "authors": [ "B. J. Dalton" ], "comment": "18 pages, 1 figure, modified intro, added refs, corrected typos, further revisions to J Mod Opt galley proofs", "journal": "J. Mod. Opt. 50, 951 (2003)", "categories": [ "quant-ph" ], "abstract": "The scaling of decoherence rates with the number of q-bits is studied for a simple quantum computer model. Two state q-bits are localised around well-separated positions via trapping potentials, but vibrational motion of q-bits centre of mass motion occurs. Coherent one and two q-bit gating processes are controlled by external classical fields and facilitated by a high Q cavity mode. Decoherence due to q-bit and cavity mode coupling to a bath of spontaneous emission modes, cavity decay modes and to the vibrational modes is treated. A non-Markovian treatment of the short time behaviour of the fidelity is presented, enabling time scales for decoherence to be determined, together with their dependence on q-bit number for the case where the q-bit/cavity mode system is in a pure state and the baths are in thermal states.", "revisions": [ { "version": "v3", "updated": "2003-01-17T06:51:57.000Z" } ], "analyses": { "keywords": [ "decoherence effects", "simple quantum computer model", "mass motion occurs", "short time behaviour", "cavity decay modes" ], "tags": [ "journal article" ], "publication": { "doi": "10.1080/09500340308234544", "journal": "Journal of Modern Optics", "year": 2003, "month": "Jun", "volume": 50, "number": 6, "pages": 951 }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003JMOp...50..951D" } } }