Quantifying coherence of quantum channels based on the generalized $α$-$z$-relative Rényi entropy

• URL: http://arxiv.org/abs/2506.10796v1
• Date: Thu, 12 Jun 2025 15:10:14 GMT
• Title: Quantifying coherence of quantum channels based on the generalized $α$-$z$-relative Rényi entropy
• Authors: Jiaorui Fan, Zhaoqi Wu, Shao-Ming Fei,
• Abstract summary: We propose a well-defined coherence measure of quantum channels based on the generalized $alpha$-$z$-relative R'enyi entropy.<n>We also present an alternative coherence measure of quantum channels by quantifying the commutativity between the channels and the completely dephasing channels.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By using the Choi-Jamio{\l}kowski isomorphism, we propose a well-defined coherence measure of quantum channels based on the generalized $\alpha$-$z$-relative R\'{e}nyi entropy. In addition, we present an alternative coherence measure of quantum channels by quantifying the commutativity between the channels and the completely dephasing channels with the generalized $\alpha$-$z$-relative R\'{e}nyi entropy. Some elegant properties of the measures are illustrated in detail. Explicit formulas of these coherence measures are derived for some detailed typical quantum channels.

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