  Techniques for coherent control of electron spin-nuclear spin interactions in
quantum dots can be directly applied in spintronics and in quantum information
processing. In this work we study numerically the interaction of electron and
nuclear spins in the context of storing the spin-state of an electron in a
collective state of nuclear spins. We take into account the errors inherent in
a realistic system: the incomplete polarization of the bath of nuclear spins
and the different hyperfine interactions between the electron and individual
nuclei in the quantum dot. Although these imperfections deteriorate the
fidelity of the quantum information retrieval, we find reasonable fidelities
are achievable for modest bath polarizations.
