Quantifying the resource content of quantum channels: An operational approach

Understand

We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task.

• A main result is that the maximum success probability of distinguishing a given channel from the set of free channels by free probe states is exactly characterized by the resource generating power, i.e.
• the maximum amount of resource produced by the action of the channel, given by the trace distance to the set of free states.
• We apply this framework to the resource theory of quantum coherence, as an informative example.