An alternative framework for quantifying coherence of quantum channels

TL;DR

This paper introduces a new framework for measuring the coherence of quantum channels, satisfying key properties and simplifying the certification process, with demonstrated effectiveness through examples.

Contribution

The paper proposes an alternative, more accessible framework for quantifying quantum channel coherence, emphasizing faithfulness, monotonicity, and additivity.

Findings

Framework satisfies faithfulness, monotonicity, and additivity.

Simplifies the process of certifying coherence measures.

Effectiveness demonstrated through detailed examples.

Abstract

We present an alternative framework for quantifying the coherence of quantum channels, which contains three conditions: the faithfulness, nonincreasing under sets of all the incoherent superchannels and the additivity. Based on the characteristics of the coherence of quantum channels and the additivity of independent channels, our framework provides an easier way to certify whether a function is a bona fide coherence measure of quantum channels. Detailed example is given to illustrate the effectiveness and advantages of our framework.