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

S.Y. Mirafzali and H.R. Baghshahi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 514, issue C, 274-279

Abstract: 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.

Keywords: Non-Markovianity; Coherence measures; Tsallis relative α entropies (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:514:y:2019:i:c:p:274-279

DOI: 10.1016/j.physa.2018.09.059

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