Coherence, nonclassicality and metrological resolution

TL;DR

This paper establishes a fundamental link between quantum coherence, nonclassicality, and measurement precision, introducing a coherence observable aligned with classical phase intuition.

Contribution

It reveals the equivalence between quantum coherence and nonclassicality and defines a coherence observable consistent with classical phase concepts.

Findings

Quantum coherence and nonclassicality are fundamentally equivalent.

A coherence observable consistent with classical phase intuition is introduced.

The relationship between coherence, nonclassicality, and metrological resolution is clarified.

Abstract

We demonstrate the simple and deep equivalence between quantum coherence and nonclassicality and the definite way in which they determine metrological resolution. Moreover, we define a coherence observable consistent with a classical intuition relating coherence with phase statistics.