  Cavity quantum electrodynamics allows one to study the interaction between
light and matter at the most elementary level. The methods developed in this
field have taught us how to probe and manipulate individual quantum systems
like atoms and superconducting quantum bits with an exquisite accuracy. There
is now a strong effort to extend further these methods to other quantum
systems, and in particular hybrid quantum dot circuits. This could turn out to
be instrumental for a noninvasive study of quantum dot circuits and a
realization of scalable spin quantum bit architectures. It could also provide
an interesting platform for quantum simulation of simple fermion-boson
condensed matter systems. In this short review, we discuss the experimental
state of the art for hybrid circuit quantum electrodynamics with quantum dots,
and we present a simple theoretical modeling of experiments.
