Decoherence Dynamics of Measurement-Induced Nonlocality and comparison with Geometric Discord for two qubit systems

TL;DR

This paper investigates how measurement-induced nonlocality (MIN) and geometric discord evolve under decoherence in two-qubit systems, revealing unique behaviors and differences in their dynamics under various noise models.

Contribution

It provides a detailed comparison of the decoherence dynamics of MIN and geometric discord, highlighting cases where MIN remains unaffected and differences in non-Markovian evolution.

Findings

MIN can remain unaffected by dephasing in certain states

Geometric discord exhibits additive dynamics under noise

Distinct non-Markovian behaviors for MIN and geometric discord

Abstract

We check the decoherence dynamics of Measurement-induced Nonlocality(in short, MIN) and compare it with geometric discord for two qubit systems. There are quantum states, on which the action of dephasing channel cannot destroy MIN in finite or infinite time. We check the additive dynamics of MIN on a qubit state under two independent noise. Geometric discord also follows such additive dynamics like quantum discord. We have further compared non-Markovian evolution of MIN and geometric discord under dephasing and amplitude damping noise for pure state and it shows distinct differences between their dynamics.