Erik Sjöqvist, D. M. Tong, L. Mauritz Andersson, Björn Hessmo, Markus Johansson, Kuldip Singh
We develop a non-adiabatic generalization of holonomic quantum computation in which high-speed universal quantum gates can be realized by using non-Abelian geometric phases. We show how a set of non-adiabatic holonomic one- and two-qubit gates can be implemented by utilizing optical transitions in a generic three-level $\Lambda$ configuration. Our scheme opens up for universal holonomic quantum computation on qubits characterized by short coherence times.
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http://arxiv.org/abs/1107.5127
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