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

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  • Mirafzali, S.Y.
  • Baghshahi, H.R.

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.

Suggested Citation

  • Mirafzali, S.Y. & Baghshahi, H.R., 2019. "Non-Markovianity detection with coherence measures based on the Tsallis relative α entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 274-279.
    • Handle: RePEc:eee:phsmap:v:514:y:2019:i:c:p:274-279
    DOI: 10.1016/j.physa.2018.09.059
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    References listed on IDEAS

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    1. Zuo, Wei & Qian, Xiao-Qing & Liang, Xian-Ting, 2017. "Comparisons of different witnesses of non-Markovianity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 552-561.
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