Dynamical Coherence Measures

Abstract

We present three measures of the dynamical coherence of channels, which generalize several previous results. The measures are based on a generalized distance-like function between channels, such as a quantum divergence of channels, including the relative entropy and diamond distance. Free operations are considered to be detection-incoherent, creation-incoherent, and detection-creation incoherent. We consider free superchannels constructed from free pre- and post-processing channels. The new measures are monotone under free superchannels and convex.