Non-adiabatic holonomic quantum computation

Abstract

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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References in corpus (3)

• Robustness of non-adiabatic holonomic gates
• Composite pulses in NMR as non-adiabatic geometric quantum gates
• Robustness against parametric noise of non ideal holonomic gates

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