General Continuity Bounds for Quantum Relative Entropies
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913222605406208 |
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| author | Bluhm, Andreas Capel, Ángela Gondolf, Paul Pérez-Hernández, Antonio |
| author_facet | Bluhm, Andreas Capel, Ángela Gondolf, Paul Pérez-Hernández, Antonio |
| contents | In this article, we generalize a proof technique by Alicki, Fannes and Winter and introduce a method to prove continuity bounds for entropic quantities derived from different quantum relative entropies. For the Umegaki relative entropy, we mostly recover known almost optimal bounds, whereas, for the Belavkin-Staszewski relative entropy, our bounds are new. Finally, we use these continuity bounds to derive a new entropic uncertainty relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_10140 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | General Continuity Bounds for Quantum Relative Entropies Bluhm, Andreas Capel, Ángela Gondolf, Paul Pérez-Hernández, Antonio Quantum Physics In this article, we generalize a proof technique by Alicki, Fannes and Winter and introduce a method to prove continuity bounds for entropic quantities derived from different quantum relative entropies. For the Umegaki relative entropy, we mostly recover known almost optimal bounds, whereas, for the Belavkin-Staszewski relative entropy, our bounds are new. Finally, we use these continuity bounds to derive a new entropic uncertainty relation. |
| title | General Continuity Bounds for Quantum Relative Entropies |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.10140 |