Detection of quantum light in the presence of noise

Detection of quantum light in the presence of dark counts and background radiation noise is considered. The corresponding positive operator-valued measure is obtained and photocounts statistics of quantum light in the presence of noise is studied.

Figure 1

The beam-splitter model for the detection in the presence of noise. $D$ is an ideal detector and $BS$ is a beam splitter with transmission coefficient $\sqrt{\eta }$; the operators ${\widehat{a}}_k$, $k=1\dots \nu$ and ${\widehat{c}}_l$, $l=1\dots \mu$ describe the modes of the incident radiation field and thermal bath, correspondingly.