Distance-based approach to quantum coherence and nonclassicality

TL;DR

This paper introduces a distance-based framework linking quantum coherence to nonclassicality, providing quantitative measures and analyzing examples to understand their relationship and potential extensions.

Contribution

It develops a novel coherence-based approach to quantify nonclassicality using distance measures, establishing a maximum coherence relation and exploring extensions to continuous spectra.

Findings

Quantitative relation between coherence and nonclassicality established

Computed coherence for several representative quantum states

Discussion on extending the theory to continuous spectra

Abstract

We provide a coherence-based approach to nonclassical behavior by means of distance measures. We develop a quantitative relation between coherence and nonclassicality quantifiers, which establish the nonclassicality as the maximum quantum-coherence achievable. We compute the coherence of several representative examples and discuss whether the theory may be extended to reference observables with continuous spectra.