Quantumness of channels

The reliability of quantum channels for transmitting information is profound importance from the perspective information. This naturally leads to question as how well a state preserved when subjected channel. We propose measure quantumness based on non-commutativity states that intuitive and easy compute. apply proposed some known noise channels, both Markovian non-Markovian find results are in good agreement with those recently introduced $l_1$-norm coherence measure.