Dynamics of skew information-based quantum coherence under correlated noisy channels

Abstract

In this paper, we study analytically the skew information-based coherence, and compare its dynamics with that of the $l_1$ norm of coherence for two-qubit Bell-diagonal states under the influence of correlated Pauli channels, such as correlated dephase, depolarizing and classical noisy channels, respectively. The similar as well as different features between the skew information-based coherence and $l_1$ norm of coherence are discussed. In addition, the physical mechanism of preserving quantum coherence based on memory coefficient of correlated channels and non-Markovian memory effect is also expounded.

Keywords:

• Quantum coherence
• skew information
• correlated channel with memory

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Scientific Research Project of Hunan Province Department of Education [grant numbers 19C0539 and 19B060] and the Natural Science Foundation of Hunan Province [grant numbert 2021JJ30757]. Y. N. Guo was supported by the Program of Changsha Excellent Young Talents [grant numbers kq2009076, kq2106029 and kq1905005].