  Adiabatic quantum gate implementation generally takes longer time, which is
disadvantageous in view of decoherence. In this report we implement several
essential one-qubit quantum gates nonadiabatically by making use of a dynamical
invariant associated with a Hamiltonian. Moreover we require that these gates
be holonomic, that is, the dynamical phases associated with the gates vanish.
Our implementation is based on our recent work [J. Phys. Soc. Jpn. 83, 034001
(2014)] and the gate parameters required for the implementations are found by
numerical optimization.
