Quantifying coherence with respect to general measurements via quantum Fisher information

TL;DR

This paper introduces a new measure of quantum coherence based on quantum Fisher information, extending the resource theory of coherence to general measurements and demonstrating its practical application.

Contribution

It proposes a novel coherence measure with respect to general measurements using quantum Fisher information, expanding the theoretical framework of quantum coherence.

Findings

New coherence measure based on quantum Fisher information

Extension of resource theory to general measurements

Application demonstrating practical relevance

Abstract

The standard quantum coherence theory is defined with respect to an orthonormal basis of a Hilbert space. Recently, Bischof, Kampermann and Bru% \ss\ generalized the notion of coherence into the case of general measurements, and also, they established a rigorous resource theory of coherence with respect to general measurements. In this paper, we propose such a coherence measure with respect to general measurements via quantum Fisher information, and provide an application of this measure.