Dynamical Coherence Measures

Abstract: We present three measures of the dynamical coherence of channels, which are the generalization of several previous results. The measures are based on the generalized distance function between channels, which for example could be the divergence or a trace-distance. Free operations are considered to be detection-incoherent, creation-incoherent, and detection-creation incoherent. Free superchannels can be expressed using free pre- and post-processing channels. The new measures are monotone under free superchannels and convex.