{ "id": "0905.1249", "version": "v3", "published": "2009-05-08T12:58:17.000Z", "updated": "2009-08-28T15:07:34.000Z", "title": "Holonomic quantum computation in subsystems", "authors": [ "Ognyan Oreshkov" ], "comment": "Improved presentation, references added", "journal": "Phys. Rev. Lett. 103, 090502 (2009)", "doi": "10.1103/PhysRevLett.103.090502", "categories": [ "quant-ph" ], "abstract": "We introduce a generalized method of holonomic quantum computation (HQC) based on encoding in subsystems. As an application, we propose a scheme for applying holonomic gates to unencoded qubits by the use of a noisy ancillary qubit. This scheme does not require initialization in a subspace since all dynamical effects factor out as a transformation on the ancilla. We use this approach to show how fault-tolerant HQC can be realized via 2-local Hamiltonians with perturbative gadgets.", "revisions": [ { "version": "v3", "updated": "2009-08-28T15:07:34.000Z" } ], "analyses": { "subjects": [ "03.67.Pp", "03.65.Vf" ], "keywords": [ "holonomic quantum computation", "subsystems", "noisy ancillary qubit", "fault-tolerant hqc", "applying holonomic gates" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2009, "month": "Aug", "volume": 103, "number": 9, "pages": "090502" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvL.103i0502O" } } }