  Currently epsilon near zero materials (ENZ) have become important for
controlling the propagation of light and enhancing by several orders of
magnitude the Kerr and other nonlinearities. Given this advance it is important
to examine the quantum electrodynamic processes and information tasks near ENZ
materials. We study the entanglement between two two-level systems near ENZ
materials and compare our results with the case where the ENZ material is
replaced by a metal. It is shown that with ENZ materials substantial
entanglement can be achieved over larger distances than for metal films. We
show that this entanglement over large distances is due to the fact that one
can not only have large emission rates but also large energy transmission rates
at the epsilon-nearzero wavelength. This establishes superiority of ENZ
materials for studying processes specifically important for quantum information
tasks.
