Skew information-based coherence generating power of quantum channels

We study the ability of a quantum channel to generate coherence when it applies incoherent states. define measure generating power (CGP) for generic be average generated by acting on uniform ensemble states based skew information-based measure. present explicitly analytical formulae CGP any arbitrary finite dimensional unitary channels. derive mean value over groups and investigate typicality normalized CGP. Furthermore, we give an upper bound convex combinations Detailed examples are provided calculate exactly values channels related specific gates some qubit