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arXiv · 2506.10810

Coherence monotones of quantum channels based on two generalized quantum relative entropies

Jiaorui Fan·Zhaoqi Wu·Shao-Ming Fei
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Abstract

By using the Choi-Jamio{\l}kowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified $(r,s)$-relative entropy and the sandwiched R\'{e}nyi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we present the upper bounds of the coherence monotones and derive the explicit formulas of the coherence monotones for qubit unitary channels.

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Jiaorui Fan, Zhaoqi Wu, Shao-Ming Fei. 2025-06-12. Coherence monotones of quantum channels based on two generalized quantum relative entropies. https://doi.org/10.1088/1612-202x%2Facf36a

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