Comment on "Quantifying quantum coherence with quantum Fisher information"

TL;DR

This paper critically examines the claim that quantum Fisher information is a valid coherence measure, demonstrating that it can increase under incoherent operations, thus challenging its validity within the resource theory of coherence.

Contribution

The authors refute previous claims by showing quantum Fisher information is not a valid coherence measure due to its non-monotonic behavior under incoherent operations.

Findings

Quantum Fisher information can increase via incoherent operations.

It is not a valid coherence measure within the resource theory.

Challenges previous assertions about quantum Fisher information's role in coherence quantification.

Abstract

We show that contrary to the claim in Sci. Rep. 7, 15492 (2017), the quantum Fisher information itself is not a valid coherence measure based on the resource theory of coherence because it can increase via an incoherent operation.