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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
10/2020

Quantifying quantum non-Markovianity based on quantum coherence via skew information

Lian-He Shao, Yu-Ran Zhang, Yu Luo, Zhengjun Xi and Shao-Ming Fei

Abstract

Based on the nonincreasing property of quantum coherence via skew information under incoherent completely positive and trace-preserving maps, we propose a non-Markovianity measure for open quantum processes. As applications, by applying the proposed measure to some typical noisy channels, we find that it is equivalent to the three previous measures of non-Markovianity for phase damping and amplitude damping channels, i.e., the measures based on the quantum trace distance, dynamical divisibility, and quantum mutual information. For the random unitary channel, it is equivalent to the non-Markovianity measure based on $l_1$ norm of coherence for a class of output states and it is incompletely equivalent to the measure based on dynamical divisibility. We also use the modified Tsallis relative $\alpha$ entropy of coherence to detect the non-Markovianity of dynamics of quantum open systems, the results show that the modified Tsallis relative $\alpha$ entropy of coherence are more comfortable than the original Tsallis relative $\alpha$ entropy of coherence for small $\alpha$.

Received:
Jan 19, 2020
Published:
Jan 19, 2020

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inJournal
2020 Repository Open Access
Lian-He Shao, Yu-Ran Zhang, Yu Luo, Zhengjun Xi and Shao-Ming Fei

Quantifying quantum non-Markovianity based on quantum coherence via skew information

In: Laser physics letters, 17 (2020) 1, p. 015202