Asymmetry-induced nonclassical correlation

TL;DR

This paper develops a resource theory of quantum asymmetry using quantum Fisher information, linking asymmetry to nonclassical correlations, and introduces a measure that satisfies key axioms, with applications to pure and Bell diagonal states.

Contribution

It establishes a novel resource theory of asymmetry based on quantum Fisher information and connects it to nonclassical correlations in bipartite systems.

Findings

The proposed measure satisfies all axioms of bipartite quantum correlation.

The measure is applied successfully to pure states and Bell diagonal states.

Asymmetry discrepancy induces nonclassical correlations.

Abstract

In quantum resource theory (QRT), asymmetry recognized as a valid resource for the advantage of various quantum information processing. In this paper, we establish the resource theory of asymmetry using quantum Fisher information (QFI). By defining the average Fisher information as a measure of asymmetry, it is shown that the discrepancy of bipartite global and local asymmetries naturally induces the nonclassical correlation between the subsystems. This measure satisfies all the necessary axioms of a faithful measure of bipartite quantum correlation. As an illustration, we have studied the proposed measure for an arbitrary pure state and Bell diagonal state.