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Motivated by recent numerous works on the interplay among various measures ofquantum correlations, we aim to investigate the relationship between theviolation of Clauser-Horne-Shimony-Holt (CHSH) Bell inequality and geometricmeasure of quantum discord for two-qubit systems. Exact lower and upper boundsof Bell violation versus geometric discord are obtained for a specific andsignificant class of states, Bell diagonal states, and the respective stateswhich suffice those bounds are also characterized. The dynamical behavior ofthese two quantifiers is carefully analyzed in the presence of decoherence,including Markovian, non-Markovian, and non-back-action quantum environments.The results suggest that Bell violation is closely related to geometricdiscord, like its relationship with other entanglement monotones.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Bell violation versus geometric measure of quantum discord and their dynamical behavior