Related papers: Coherence monotones of quantum channels based on two generalized quantum relative entropies

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

URL: http://arxiv.org/abs/2506.10810v1
Date: Thu, 12 Jun 2025 15:24:39 GMT
Title: Coherence monotones of quantum channels based on two generalized quantum relative entropies
Authors: Jiaorui Fan, Zhaoqi Wu, Shao-Ming Fei,
Abstract summary: We propose two classes of coherence monotones of quantum channels based on the unified $(r,s)$-relative entropy and the sandwiched R'enyi relative entropy.<n>We derive the explicit formulas of the coherence monotones for qubit unitary channels.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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