Fidelity based Measurement Induced Nonlocality and its dynamics in Quantum noisy channels

TL;DR

This paper introduces a fidelity-based version of measurement induced nonlocality (MIN), analyzes its calculation for pure and mixed states, and demonstrates its robustness over entanglement in noisy quantum channels.

Contribution

It proposes a new fidelity-based MIN measure, derives bounds for mixed states, and studies its dynamics under noisy channels, showing increased robustness compared to entanglement.

Findings

Fidelity-based MIN is more robust than entanglement in noisy channels.

Upper bounds for mixed states are derived from correlation matrix eigenvalues.

The new measure is applicable to both pure and mixed quantum states.

Abstract

Measurement induced nonlocality (MIN) captures global nonlocal effect of bipartite quantum state due to locally invariant projective measurements. In this paper, we propose a new version of MIN using fidelity induced metric,andthe same is calculated for pure and mixed states. For mixed state, the upper bound is obtained from eigenvalues of correlation matrix. Further, dynamics of MIN and fidelity based MIN under various noisy quantum channels show that they are more robust than entanglement.