Generation of Entangled States in the Framework of Cavity-Qed

Cavity quantum electrodynamics is a research field that studies electromagnetic fields in confined spaces and radiative properties of atoms in such fields. Experimentally, the simplest example of such system is a single atom interacting with modes of a high-finesse resonator. Theoretically, such system bears an excellent framework for quantum information processing in which atoms and light are interpreted as bits of quantum information and their mutual interaction provides a controllable entanglement mechanism. In this manuscript, I present several practical schemes for generation of multipartite entangled states for chains of atoms which pass through one or more high-finesse resonators. I describe in details all the individual steps which are required to realize the proposed schemes and, moreover, I discuss several techniques to reveal the non-classical correlations associated with generated small-sized entangled states.