Dynamics of measurement induced nonlocality under decoherence

TL;DR

This paper investigates how measurement induced nonlocality (MIN) and related quantum correlations evolve under various noisy quantum channels, showing that MIN is more robust than entanglement and can revive after decay.

Contribution

It provides a detailed analysis of the dynamics of MIN, FMIN, and entanglement under different noise models, highlighting the robustness and revival of MIN in noisy environments.

Findings

MIN and FMIN are more robust than entanglement under noise.

Entanglement experiences sudden death in hybrid and GAD channels.

MIN and FMIN can revive after decay in depolarizing channels.

Abstract

Measurement Induced Nonlocality (MIN) captures nonlocal effects of a quantum state due to local von Neumann projective measurements, is a bonafide measure of quantum correlation between constituents of a composite system. In this paper, we study the dynamical behavior of entanglement (measured by concurrence), Hilber-Schmidt MIN and fidelity based MIN (FMIN) under local noisy channels such as hybrid (consists of bit, phase, bit and phase flip), generalized amplitude damping (GAD) and depolarizing channels for the initial Bell diagonal state. We observed that while sudden death of entanglement occur in hybrid and GAD channels, MIN and FMIN are more robust against such noise. Finally, we demonstrate the revival of MIN and FMIN after a dark point of time against depolarizing noise.