# Symmetry-Like Relation of Relative Entropy Measure of Quantum Coherence

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Preliminaries

## 3. Lower and Upper Bounds for the Relative Entropy of Coherence

**Theorem**

**1.**

**Proof.**

**Corollary**

**1.**

**Corollary**

**2.**

## 4. The Relation between ${\mathit{C}}_{\mathit{r}}(\mathit{\rho})$ and ${\mathit{C}}_{{\ell}_{\mathit{1}}}(\mathit{\rho})$

**Proposition**

**1.**

**Proof.**

## 5. Conclusions

## Author Contributions

## Acknowledgments

## Conflicts of Interest

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**MDPI and ACS Style**

Zhang, C.; Guo, Z.; Cao, H.
Symmetry-Like Relation of Relative Entropy Measure of Quantum Coherence. *Entropy* **2020**, *22*, 297.
https://doi.org/10.3390/e22030297

**AMA Style**

Zhang C, Guo Z, Cao H.
Symmetry-Like Relation of Relative Entropy Measure of Quantum Coherence. *Entropy*. 2020; 22(3):297.
https://doi.org/10.3390/e22030297

**Chicago/Turabian Style**

Zhang, Chengyang, Zhihua Guo, and Huaixin Cao.
2020. "Symmetry-Like Relation of Relative Entropy Measure of Quantum Coherence" *Entropy* 22, no. 3: 297.
https://doi.org/10.3390/e22030297