Experimental realization of non-Abelian non-adiabatic geometric gates

@article{Abdumalikov2013ExperimentalRO,
  title={Experimental realization of non-Abelian non-adiabatic geometric gates},
  author={Abdufarrukh A. Abdumalikov and Johannes M. Fink and Kristinn J{\'u}l{\'i}usson and Marek Pechal and Simon A. Berger and Andreas Wallraff and Stefan Filipp},
  journal={Nature},
  year={2013},
  volume={496},
  pages={482-485}
}
The geometric aspects of quantum mechanics are emphasized most prominently by the concept of geometric phases, which are acquired whenever a quantum system evolves along a path in Hilbert space, that is, the space of quantum states of the system. The geometric phase is determined only by the shape of this path and is, in its simplest form, a real number. However, if the system has degenerate energy levels, then matrix-valued geometric state transformations, known as non-Abelian holonomies—the… Expand

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