# Quantifying the resource content of quantum channels: An operational approach

## TL;DR

This paper introduces an operational method to quantify the resourcefulness of quantum channels through their ability to be distinguished from free channels, linking success probability to resource generation.

## Contribution

It establishes a universal framework connecting channel discrimination success with resource generation, applicable across various quantum resource theories.

## Key findings

- Success probability equals the resource generating power of the channel.
- Framework applies to coherence, entanglement, magic states, and asymmetry.
- Provides a quantitative measure for resourcefulness in quantum channels.

## Abstract

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. The general results can also be easily applied to other resource theories such as entanglement, magic states, and asymmetry.