# Local available quantum correlations for Bell Diagonal states and markovian decoherence

## TL;DR

This paper analytically calculates local available quantum correlations for Bell Diagonal states and examines their dynamics under Markovian decoherence, comparing with quantum discord and entanglement measures.

## Contribution

It provides an analytical determination of LAQCs for Bell Diagonal states and analyzes their dissipative dynamics under Markovian decoherence channels.

## Key findings

- LAQCs vanish only asymptotically, similar to Quantum Discord.
- LAQCs are generally lower than Quantum Discord.
- Results highlight differences in decoherence effects on various quantum correlation measures.

## Abstract

Local available quantum correlations (LAQCs), as defined by Mundarain et al. [19], are analytically determined for Bell Diagonal states. Using the Kraus operators formalism [10], we analyze the dissipative dynamics of 2-qubit LAQCs under markovian decoherence. This is done for Werner states under the depolarizing [20] and phase damping channels [21]. Since Werner states are among those that exhibit the so called entanglement sudden death [27], the results are compared with the ones obtained for Quantum Discord [22], as analyzed by Werlang et al. [24], as well as for entanglement, i.e. Concurrence [7]. The LAQCs quantifier only vanishes asymptotically, as was shown to be the case for Quantum Discord, in spite of being lower.