Non-adiabatic holonomic quantum computation

Erik Sjöqvist, D. M. Tong, L. Mauritz Andersson, Björn Hessmo, Markus Johansson, Kuldip Singh · New Journal of Physics · 2012

We develop a non-adiabatic generalization of holonomic quantum computation in which high-speed universal quantum gates can be realized 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 Λ configuration. Our scheme opens up the possibility of realizing universal holonomic quantum computation on qubits characterized by short coherence time.

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