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Holonomic quantum computation in decoherence-free subspaces

L. -A. Wu·P. Zanardi·D. A. Lidar
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Abstract

We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault-tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum information processing using trapped ions and quantum dots.

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L. -A. Wu, P. Zanardi, D. A. Lidar. 2005-08-10. Holonomic quantum computation in decoherence-free subspaces. https://doi.org/10.1103/physrevlett.95.130501

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