Quantum Chernoff bound as a measure of nonclassicality for one-mode Gaussian states

TL;DR

This paper introduces a new measure of nonclassicality for single-mode Gaussian states using the quantum Chernoff bound, linking it to quantum fidelity and exploring its properties.

Contribution

It proposes a Gaussian distance-type nonclassicality measure based on the quantum Chernoff bound, connecting it to quantum fidelity and analyzing its properties.

Findings

Quantum Chernoff bound effectively quantifies nonclassicality.

The relation between quantum Chernoff overlap and Uhlmann fidelity is elucidated.

Properties of the quantum Chernoff measure are systematically illustrated.

Abstract

We evaluate a Gaussian distance-type degree of nonclassicality for a single-mode Gaussian state of the quantum radiation field by use of the recently discovered quantum Chernoff bound. The general properties of the quantum Chernoff overlap and its relation to the Uhlmann fidelity are interestingly illustrated by our approach.