Min-reflected entropy = doubly minimized Petz Renyi mutual information of order 1/2
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915172649533440 |
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| author | Burri, Laura |
| author_facet | Burri, Laura |
| contents | Renyi reflected entropies of order $n \geq 2$ are correlation measures that have been introduced in the field of holography. In this work, we put the spotlight on the min-reflected entropy, i.e., the Renyi reflected entropy in the limit $n \rightarrow \infty$. We show that, for general bipartite quantum states, this measure is identical to another measure originating from the field of quantum information theory: the doubly minimized Petz Renyi mutual information of order $1/2$. Furthermore, we demonstrate how this equality enables us to answer several previously open questions, each concerning one of the two correlation measures (or generalizations of them). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18433 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Min-reflected entropy = doubly minimized Petz Renyi mutual information of order 1/2 Burri, Laura Quantum Physics High Energy Physics - Theory Renyi reflected entropies of order $n \geq 2$ are correlation measures that have been introduced in the field of holography. In this work, we put the spotlight on the min-reflected entropy, i.e., the Renyi reflected entropy in the limit $n \rightarrow \infty$. We show that, for general bipartite quantum states, this measure is identical to another measure originating from the field of quantum information theory: the doubly minimized Petz Renyi mutual information of order $1/2$. Furthermore, we demonstrate how this equality enables us to answer several previously open questions, each concerning one of the two correlation measures (or generalizations of them). |
| title | Min-reflected entropy = doubly minimized Petz Renyi mutual information of order 1/2 |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.18433 |