{ "id": "quant-ph/0408162", "version": "v1", "published": "2004-08-26T06:48:43.000Z", "updated": "2004-08-26T06:48:43.000Z", "title": "Algorithm-Based Analysis of Collective Decoherence in Quantum Computation", "authors": [ "Shoko Utsunomiya", "Cyrus P. Master", "Yoshihisa Yamamoto" ], "comment": "15 pages, 14 figures", "categories": [ "quant-ph" ], "abstract": "The information in quantum computers is often stored in identical two-level systems (spins or pseudo-spins) that are separated by a distance shorter than the characteristic wavelength of a reservoir which is responsible for decoherence. In such a case, the collective spin-reservoir interaction, rather than an individual spin-reservoir interaction, may determine the decoherence characteristics. We use computational basis states, symmetrized spin states and spin coherent states to study collective decoherence in the implementation of various quantum algorithms. A simple method of implementing quantum algorithms using stable subradiant states and avoiding unstable Dicke's superradiant states and Schrodinger's cat states is proposed.", "revisions": [ { "version": "v1", "updated": "2004-08-26T06:48:43.000Z" } ], "analyses": { "keywords": [ "collective decoherence", "quantum computation", "algorithm-based analysis", "quantum algorithms", "avoiding unstable dickes superradiant states" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004quant.ph..8162U" } } }