  We present an alternative framework for quantifying the coherence of quantum
channels, which contains three conditions: the faithfulness, nonincreasing
under sets of all the incoherent superchannels and the additivity. Based on the
characteristics of the coherence of quantum channels and the additivity of
independent channels, our framework provides an easier way to certify whether a
function is a bona fide coherence measure of quantum channels. Detailed example
is given to illustrate the effectiveness and advantages of our framework.
