{ "id": "quant-ph/0601146", "version": "v1", "published": "2006-01-21T08:46:51.000Z", "updated": "2006-01-21T08:46:51.000Z", "title": "Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters", "authors": [ "P. V. Buividovich", "V. I. Kuvshinov" ], "comment": "7 pages, 3 figures", "journal": "Phys. Rev. A 73 (2006) 022336", "doi": "10.1103/PhysRevA.73.022336", "categories": [ "quant-ph" ], "abstract": "We investigate the influence of random errors in external control parameters on the stability of holonomic quantum computation in the case of arbitrary loops and adiabatic connections. A simple expression is obtained for the case of small random uncorrelated errors. Due to universality of mathematical description our results are valid for any physical system which can be described in terms of holonomies. Theoretical results are confirmed by numerical simulations.", "revisions": [ { "version": "v1", "updated": "2006-01-21T08:46:51.000Z" } ], "analyses": { "keywords": [ "holonomic quantum computation", "random errors", "small random uncorrelated errors", "external control parameters", "arbitrary loops" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }