Dilapidation of nonlocal correlations of two qubit states in noisy environment

TL;DR

This paper investigates how noise affects different levels of nonlocal correlations in two-qubit states, revealing that higher order correlations are more fragile and tend to disappear under noise faster than lower order ones.

Contribution

It demonstrates that the hierarchy of nonlocal correlations in two-qubit states persists under various noisy environments, highlighting the differential robustness of these correlations.

Findings

Higher order nonlocal correlations decay faster under noise.

Lower order correlations survive stronger noise.

Hierarchy of nonlocal correlations remains consistent across noise types.

Abstract

Composite quantum systems exhibit non-local correlations. These counter intuitive correlations form a resource for quantum information processing and quantum computation. In our previous work on two qubit maximally entangled mixed states, we observed that entangled states, states that can be used for quantum teleportaion, states that violate Bell-CHSH inequality and states that do not admit local hidden variable description is the hierarchy in terms of the order of nonlocal correlations. In order to establish this hierarchy, in the present work, we investigate the effect of noise on two quibt states that exhibit higher order nonlocal correlations. We find that dilapidation of nonlocal correlations in the presence of noise follow the same hierarchy, that is, higher order nonlocal correlation disappears for small strength of noise, where as lower order nonlocal correlations survive strong noisy environment. We show the results for decoherence due to amplitude damping channel on various quantum states. However, we observe that same hierarchy is followed by states undergoing decoherence due to phase damping as well as depolarizing channels.