{ "id": "1409.6285", "version": "v1", "published": "2014-09-22T19:29:54.000Z", "updated": "2014-09-22T19:29:54.000Z", "title": "Donor Spin Qubits in Ge-based Phononic Crystals", "authors": [ "V. N. Smelyanskiy", "V. V. Hafiychuk", "F. T. Vasko", "A. G. Petukhov" ], "comment": "18 pages, 7 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We propose qubits based on shallow donor electron spins in germanium. Spin-orbit interaction for donor spins in germanium is in many orders of magnitude stronger than in silicon. In a uniform bulk material it leads to very short spin lifetimes. However the lifetime increases dramatically when the donor is placed into a quasi-2D phononic crystal and the energy of the Zeeman splitting is tuned to lie within a phonon bandgap. In this situation single phonon processes are suppressed by energy conservation. The remaining two-phonon decay channel is very slow. The Zeeman splitting within the gap can be fine tuned to induce a strong, long-range coupling between the spins of remote donors via exchange by virtual phonons. This, in turn, opens a very efficient way to manipulate the quits. We explore various geometries of phononic crystals in order to maximize the coherent qubit-qubit coupling while keeping the decay rate minimal. We find that phononic crystals with unit cell sizes of 100-150 nm are viable candidates for quantum computing applications and suggest several spin-resonance experiments to verify our theoretical predictions.", "revisions": [ { "version": "v1", "updated": "2014-09-22T19:29:54.000Z" } ], "analyses": { "keywords": [ "donor spin qubits", "ge-based phononic crystals", "situation single phonon processes", "shallow donor electron spins", "uniform bulk material" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.6285S" } } }