Transient nonlinear optical spectroscopy, performed on excitons confined to
single GaAs quantum dots, shows oscillations that are analogous to Rabi os
cillations in two-level atomic systems. This demonstration corresponds to a
one-qubit rotation in a single quantum dot which is important for proposal
s using quantum dot excitons for quantum computing. The dipole moment infer
red from the data is consistent with that directly obtained from linear abs
orption studies. The measurement extends the artificial atom model of quant
um dot excitonic transitions into the strong-field limit, and makes possibl
e full coherent optical control of the quantum state of single excitons usi
ng optical pi pulses.