{ "id": "1210.6782", "version": "v1", "published": "2012-10-25T10:17:15.000Z", "updated": "2012-10-25T10:17:15.000Z", "title": "Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces", "authors": [ "G. F. Xu", "J. Zhang", "D. M. Tong", "Erik Sjoqvist", "L. C. Kwek" ], "comment": "4 pages", "journal": "Physical Review Letters 109, 170501, 2012", "categories": [ "quant-ph" ], "abstract": "Quantum computation that combines the coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of geometric holonomic control is of great practical importance. Some schemes of adiabatic holonomic quantum computation in decoherence-free subspaces have been proposed in the past few years. However, non-adiabatic holonomic quantum computation in decoherence-free subspaces, which avoids long run-time requirement but with all the robust advantages, remains an open problem. Here, we demonstrate how to realize non-adiabatic holonomic quantum computation in decoherence-free subspaces. By using only three neighboring physical qubits undergoing collective dephasing to encode one logical qubit, we realize a universal set of quantum gates.", "revisions": [ { "version": "v1", "updated": "2012-10-25T10:17:15.000Z" } ], "analyses": { "subjects": [ "03.67.Pp", "03.65.Vf" ], "keywords": [ "decoherence-free subspaces", "qubits undergoing collective dephasing", "physical qubits undergoing collective", "realize non-adiabatic holonomic quantum computation", "avoids long run-time requirement" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "doi": "10.1103/PhysRevLett.109.170501", "year": 2012, "month": "Oct", "volume": 109, "number": 17, "pages": 170501 }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvL.109q0501X" } } }