Figure 7

(a): Trace distance Eq. (24) against the number of collisions n for different ξ, \(\xi =0.3\) (black-solid line), \(\xi =0.5\) (black-dashed line) and \(\xi =0.7\) (black-dotted line), a non-Markovian process is induced by means of initial classical correlation Eq. (20) with coherence of reservoir, \(p=0.4\) in Eq. (16) which is a Markovian regime presented in Fig. 3; and the bound of Eq. (25) is indicated by the upper blue-solid line (\(\xi =0.3\)), green-dashed line (\(\xi =0.5\)) and red-dotted line (\(\xi =0.7\)). (b): Trace distance Eq. (24) against the number of collisions n for fixed ξ (\(\xi =0.7\)) and different p, \(p=\{0.1,0.2,0.4\}\). For both plots \(\gamma =\frac{\pi }{14}\) and \(\delta =\frac{\pi }{6}\)