Quantifying coherence of quantum channels based on the generalized $α$-$z$-relative Rényi entropy
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909647068200960 |
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| author | Fan, Jiaorui Wu, Zhaoqi Fei, Shao-Ming |
| author_facet | Fan, Jiaorui Wu, Zhaoqi Fei, Shao-Ming |
| contents | By using the Choi-Jamiołkowski isomorphism, we propose a well-defined coherence measure of quantum channels based on the generalized $α$-$z$-relative Rényi 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 $α$-$z$-relative Rényi 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantifying coherence of quantum channels based on the generalized $α$-$z$-relative Rényi entropy Fan, Jiaorui Wu, Zhaoqi Fei, Shao-Ming Quantum Physics By using the Choi-Jamiołkowski isomorphism, we propose a well-defined coherence measure of quantum channels based on the generalized $α$-$z$-relative Rényi 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 $α$-$z$-relative Rényi 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. |
| title | Quantifying coherence of quantum channels based on the generalized $α$-$z$-relative Rényi entropy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.10796 |