Quantifying nonclassical correlations relative to local channels

TL;DR

This paper introduces a new measure for quantifying nonclassical correlations in quantum states relative to quantum channels, exploring its properties and comparing it with existing measures through various channel analyses.

Contribution

It proposes a novel correlation measure based on modified Wigner-Yanase-Dyson skew information and analyzes its properties and applications in different quantum channels.

Findings

The new measure satisfies key properties of quantum correlations.

Comparison shows differences with existing correlation measures.

Analysis across various channels demonstrates the measure's versatility.

Abstract

Nonclassical correlations are significant physical resources with extensive applications in quantum information processing. We introduce the modified Wigner-Yanase-Dyson skew information of a quantum state relative to a quantum channel, and a quantitative measure of quantum correlations. Their basic properties are explored in detail. Through a specific example, we also compare our correlations measure with the existing one. Moreover, the correlations relative to various channels including the von Neumann measurements, the unitary channels and the twirling channels are analyzed.