  Single photon detectors are fundamental tools of investigation in quantum
optics and play a central role in measurement theory and quantum informatics.
Photodetectors based on different technologies exist at optical frequencies and
much effort is currently being spent on pushing their efficiencies to meet the
demands coming from the quantum computing and quantum communication proposals.
In the microwave regime however, a single photon detector has remained elusive
although several theoretical proposals have been put forth. In this article, we
review these recent proposals, especially focusing on non-destructive detectors
of propagating microwave photons. These detection schemes using superconducting
artificial atoms can reach detection efficiencies of 90\% with existing
technologies and are ripe for experimental investigations.
