Time-resolved quantum measurements using active detectors are analyzed
. It is shown that the time-resolved observation of a quantum field le
ads to a mode mismatch between observed field and detection device tha
t unavoidably introduces vacuum modes into the measurement. When activ
e detectors are used, this gives rise to considerable background noise
. The same conclusion may be drawn when considering other highly resol
ved quantum measurements of, e.g., energy, position, etc. Special emph
asis is put on the analysis of time-resolved optical homodyne detectio
n as an important example of an active detector. [S1050-2947(98)01002-
6].