Measurement Induced Nonlocality Quantified by Hellinger Distance and weak measurements

TL;DR

This paper introduces a new measure of measurement-induced nonlocality using Hellinger distance, providing analytical formulas for certain states and exploring weak measurements' role in nonlocal correlation detection.

Contribution

It proposes a Hellinger distance-based MIN measure, addresses the local ancilla problem, and analyzes weak measurements' effectiveness in capturing nonlocality.

Findings

Analytical expression for Hellinger distance MIN for pure and $2 imes n$ mixed states.

Demonstrates resistance of the measure to local ancilla problem.

Explores the role of weak measurements in nonlocal correlation detection.

Abstract

In this article, we propose measurement-induced nonlocality (MIN) quantified by Hellinger distance using von Neumann projective measurement. The proposed MIN is a bonafide measure of nonlocal correlation and is resistant to local ancilla problem. We obtain an analytical expression of the Hellinger distance MIN for general pure and $2 \otimes n$ mixed states. In addition to comparing with similar measures, we explore the role of weak measurement in capturing nonlocal correlation.