https://doi.org/10.1140/epjp/s13360-023-04810-8
Regular Article
Mixed-permutation channel with its application to estimate quantum coherence
1
Institute of Mathematics, Hangzhou Dianzi University, 310018, Hangzhou, People’s Republic of China
2
School of Science, Beijing Information Science and Technology University, 100192, Beijing, People’s Republic of China
Received:
17
July
2023
Accepted:
19
December
2023
Published online:
10
January
2024
Quantum channel, as the information transmitter, is an indispensable tool in quantum information theory. In this paper, we study a class of special quantum channels named the mixed-permutation channels. The properties of these channels are characterized. The mixed-permutation channels can be applied to give a lower bound of quantum coherence with respect to any coherence measure. In particular, the analytical lower bounds for 
-norm coherence and the relative entropy of coherence are shown, respectively. The extension to bipartite systems is presented for the actions of the mixed-permutation channels.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
