Bounds for the reduced relative entropies
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929741820329984 |
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| author | Furuichi, Shigeru Hansen, Frank |
| author_facet | Furuichi, Shigeru Hansen, Frank |
| contents | A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy is obtained. Finally, an upper bound of the reduced Tsallis relative entropy is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03778 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bounds for the reduced relative entropies Furuichi, Shigeru Hansen, Frank Quantum Physics 47A63, 47A64, 94A17 A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy is obtained. Finally, an upper bound of the reduced Tsallis relative entropy is given. |
| title | Bounds for the reduced relative entropies |
| topic | Quantum Physics 47A63, 47A64, 94A17 |
| url | https://arxiv.org/abs/2312.03778 |