# Fidelity Based Measurement Induced Nonlocality

## TL;DR

This paper introduces a fidelity-based measurement induced nonlocality (MIN) that effectively captures global quantum correlations, addressing limitations of previous definitions, with analytical formulas and comparisons for various quantum states.

## Contribution

It proposes a new fidelity-based MIN measure, providing analytical expressions and bounds, improving upon previous measures based on Hilbert-Schmidt norm and skew information.

## Key findings

- Analytical expression for pure bipartite states
- Analytical expression for 2x n mixed states
- Upper bound for general mixed states

## Abstract

In this paper we propose measurement induced nonlocality (MIN) using a metric based on fidelity to capture global nonlocal effect of a quantum state due to locally invariant projective measurements. This quantity is a remedy for local ancilla problem in the original definition of MIN. We present an analytical expression of the proposed version of MIN for pure bipartite state and 2Xn dimensional mixed state. We also provide an upper bound of the MIN for general mixed state. Finally, we compare this quantity with MINs based on Hilbert-Schmidt norm and skew information for Werner and isotropic states.