# The dynamics of local quantum uncertainty and trace distance discord for two-qubit X states under decoherence: a comparative study

## TL;DR

This paper compares how local quantum uncertainty and trace distance discord behave under decoherence in two-qubit systems, revealing phenomena like freezing and revival of quantum correlations.

## Contribution

It provides a comparative analysis of local quantum uncertainty and trace distance discord dynamics in different decoherence scenarios for two-qubit systems.

## Key findings

- Trace discord exhibits freezing under decoherence.
- Local quantum uncertainty does not freeze, showing different dynamics.
- Quantum correlations can revive due to system-environment interactions.

## Abstract

We employ the concepts of local quantum uncertainty and geometric quantum discord based on the trace norm to investigate the environmental effects on quantum correlations of two bipartite quantum systems. The first one concerns a two-qubit system coupled with two independent bosonic reservoirs. We show that the trace discord exhibits frozen phenomenon contrarily to local quantum uncertainty. The second scenario deals with a two-level system, initially prepared in a separable state, interacting with a quantized electromagnetic radiation. Our results show that there exists an exchange of quantum correlations between the two-level system and its surrounding which is responsible for the revival phenomenon of non-classical correlations.