Continuity of the relative entropy of resource
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929716201521152 |
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| author | Lami, Ludovico Shirokov, Maksim E. |
| author_facet | Lami, Ludovico Shirokov, Maksim E. |
| contents | A criterion of local continuity of the relative entropy of resource -- the relative entropy distance to the set of free states -- is obtained. Several basic corollaries of this criterion are presented. Applications to the relative entropy of entanglement in multipartite quantum systems are considered. It is shown, in particular, that local continuity of any relative entropy of multipartite entanglement follows from local continuity of the quantum mutual information. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00696 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Continuity of the relative entropy of resource Lami, Ludovico Shirokov, Maksim E. Quantum Physics Mathematical Physics A criterion of local continuity of the relative entropy of resource -- the relative entropy distance to the set of free states -- is obtained. Several basic corollaries of this criterion are presented. Applications to the relative entropy of entanglement in multipartite quantum systems are considered. It is shown, in particular, that local continuity of any relative entropy of multipartite entanglement follows from local continuity of the quantum mutual information. |
| title | Continuity of the relative entropy of resource |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2308.00696 |