# Quantifying quantum coherence based on the generalized $\alpha-z-$relative R$\acute{e}$nyi entropy

## TL;DR

This paper introduces a new family of quantum coherence measures using the generalized alpha-z-relative Rényi entropy, satisfying all standard criteria and encompassing existing measures as special cases.

## Contribution

It proposes a unified framework for quantum coherence quantification based on the generalized alpha-z-relative Rényi entropy, extending and unifying previous measures.

## Key findings

- The new coherence measures satisfy all standard criteria.
- They include existing measures as special cases.
- The framework provides a versatile tool for quantum coherence analysis.

## Abstract

We present a family of coherence quantifiers based on the generalized $\alpha-z-$relative R$\acute{e}$nyi entropy. These quantifiers satisfy all the standard criteria for well-defined measures of coherence, and include some existing coherence measures as special cases.