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.

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.