# Coherence of quantum channels

## TL;DR

This paper develops a resource theory for quantifying the coherence of quantum channels using Choi matrices, defining incoherent channels and superchannels, and providing analytical coherence measures.

## Contribution

It introduces a novel resource theory for quantum channel coherence, extending the concept from quantum states and enabling analytical coherence quantification.

## Key findings

- Defines incoherent channels and superchannels within the resource theory.
- Provides analytical expressions for coherence measures of quantum channels.
- Recovers the coherence framework for quantum states as a special case.

## Abstract

We investigate the coherence of quantum channels and establish a resource theory for quantifying the coherence of quantum channels via Choi matrix. To this aim, we define the incoherent channels and incoherent superchannels. This theory recovers the case of quantum states when we view quantum states as a special case of quantum channels and also, this theory allows some analytical expressions for coherence measures.