Non-Markovianity detection with coherence measures based on the Tsallis relative α entropies

In this paper, we use coherence measures based on the Tsallis relative α entropies (coherence α measures), with 0<α≤2, to detect the non-Markovianity of incoherent completely positive dynamical maps. At first, in a typical open quantum system, we study the differences between these quantum coherence (QC) measures (with different α) in reveling the non-Markovianity and meanwhile, we compare our results with the ones in Neto et al. (2016). We conclude that coherence α measures can detect non-Markovianity better than non-Markovianity measure which is based on entanglement. Then, in another example, we compare coherence α measures (with different α) with two other non-Markovianity criteria (trace distance and mutual information based criteria). The results show that generally, the coherence α measures can detect non-Markovianity at least as well as the two other criteria.