Fidelity based Measurement Induced Nonlocality over two-sided measurements

TL;DR

This paper introduces a new measure of quantum nonlocality based on fidelity for bipartite states under two-sided measurements, establishing bounds and analyzing Bell diagonal states.

Contribution

It proposes a fidelity-based measurement induced nonlocality for bipartite states over two-sided measurements, extending previous one-sided measurement frameworks.

Findings

One-sided measurement bounds two-sided measurement nonlocality.

Fidelity-based measure reflects properties of nonlocality.

Analysis of Bell diagonal states illustrates the measure's application.

Abstract

In this paper, we introduce quantum fidelity based measurement induced nonlocality for the bipartite state over two-sided von Neumann projective measurements. While all the properties of this quantity are reflected from that of one-sided measurement, the latter one is shown to set an upper bound for arbitrary bipartite state. As an illustration, we have studied the nonlocality of Bell diagonal state.