2015/04/30 by Hong-Bin Chen, Jiun-Yi Lien, Guang-Yin Chen +1 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.92.042105
published as Phys. Rev. A 92, 042105 (2015) · 5 pages, 4 figures
arxiv created 2017/07/31 · arxiv updated 2017/08/01
In recent years, much effort has been devoted to the construction of a proper measure of quantum non-Markovianity. However, those proposed measures are shown to be at variance with different situations. In this work, we utilize the theory of k-positive maps to generalize a hierarchy of k-divisibility and develop a powerful tool, called k-divisibility phase diagram, which can provide a further insight into the nature of quantum non-Markovianity. By exploring the phase diagram with several paradigms, we can explain the origin of the discrepancy between two frequently used measures and find the condition under which the two measures coincide with each other.