Coherence monotones of quantum channels based on two generalized quantum relative entropies
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913890304000000 |
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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 two classes of coherence monotones of quantum channels based on the unified $(r,s)$-relative entropy and the sandwiched Rényi 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10810 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coherence monotones of quantum channels based on two generalized quantum relative entropies Fan, Jiaorui Wu, Zhaoqi Fei, Shao-Ming Quantum Physics By using the Choi-Jamiołkowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified $(r,s)$-relative entropy and the sandwiched Rényi 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. |
| title | Coherence monotones of quantum channels based on two generalized quantum relative entropies |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.10810 |