Maximum relative entropy of coherence for quantum channels

Based on the resource theory for quantifying coherence of quantum channels, we introduce a new quantifier channels via maximum relative entropy. We prove that entropy is directly related to maximally coherent under particular class superoperations, which results in an operational interpretation channels. also conception sub-superchannels and sub-superchannel discrimination. For any show advantage discrimination can be exactly characterized by Similar robustness has been investigated. provides interpretations illustrates equivalence dephasing-covariant superchannels, incoherent strictly superchannels these two tasks.