  We report on the implementation of quantum state tomography for an ensemble
of Eu$^{3+}$ dopant ions in a \YSO crystal. The tomography was applied to a
qubit based on one of the ion's optical transitions. The qubit was manipulated
using optical pulses and measurements were made by observing the optical free
induction in a phase sensitive manner. Fidelities of $>90$% for the combined
preparation and measurement process were achieved. Interactions between the
ions due to the change in the ions' permanent electric dipole moment when
excited optically were also measured. In light of these results, the ability to
do multi-qubit quantum computation using this system is discussed.
