Cavity QED with trapped atoms

Summary form only given. Cavity QED offers enabling capabilities for diverse tasks in quantum information science (QIS), such as the realization of quantum networks. Critical to the realization of scientific goals in QIS are diverse technical advances, including most importantly the localization of atoms within an optical cavity in a regime of strong coupling. Progress on this front is described, both by way of single-photon trapping and with a far-off resonance dipole-force trap.