https://doi.org/10.1140/epjd/s10053-025-00995-y
Regular Article - Quantum Information
Quantifying coherence of quantum channels based on the 
-affinity
School of Applied Science, Taiyuan University of Science and Technology, 030024, Taiyuan, People’s Republic of China
Received:
14
December
2024
Accepted:
30
March
2025
Published online:
7
May
2025
Quantum coherence theory plays a crucial role in quantum information and quantum computation. In this paper, we first propose a coherence measure for quantum states based on the -affinity and prove that it satisfies certain necessary physical properties. Moreover, we obtain a well-defined coherence measure of quantum channels based on the -affinity by utilizing the Choi–Jamiolkowski isomorphism. Some necessary and elegant properties of this measure are illustrated in detail. Finally, explicit formulas of this coherence measure for quantum channels are derived for some typical two-qubit quantum channels.
This work is supported by the National Natural Science Foundation of China (Grant No. 11901421) and the Natural Science Foundation of Shanxi Province, China (Grant No. 201901D111254).
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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.
