Dynamics of quantum coherence in Bell-diagonal states under Markovian channels
Yao-Kun Wang, Shao-Ming Fei, and Zhi-Xi Wang
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Submission date: 11. Feb. 2019
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We plot the curves of coherence for the Bell-diagonal states including l1-norm of coherence and relative entropy of coherence under the Markovian channels in the ﬁrst subsystem once. For a special Bell-diagonal state under bit-phase ﬂip channel, we ﬁnd frozen coherence under l1 norm occurs, but relative entropy of coherence decrease. It illustrates that the occurrence of frozen coherence depends on the type of the measure of coherence. We study the coherence evolution of Bell-diagonal states under Markovian channels in the ﬁrst subsystem n times and ﬁnd coherence under depolarizing channel decreases initially then increases for small n and tend to zero for large n. We discuss the dynamics of coherence of the Bell-diagonal state under two independent same type local Markovian channels. We depict the dynamic behaviors of relative entropy of coherence for Bell-diagonal state under the bi-side diﬀerent Markovian channel. We depict the dynamic behaviors of relative entropy of coherence for Bell-diagonal state under the bi-side diﬀerent Markovian channel.