On the quantum Renyi relative entropies and related capacity formulas
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2009
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929399521083392 |
|---|---|
| author | Mosonyi, M. Hiai, F. |
| author_facet | Mosonyi, M. Hiai, F. |
| contents | We show that the quantum $α$-relative entropies with parameter $α\in (0,1)$ can be represented as generalized cutoff rates in the sense of [I. Csiszar, IEEE Trans. Inf. Theory 41, 26-34, (1995)], which provides a direct operational interpretation to the quantum $α$-relative entropies. We also show that various generalizations of the Holevo capacity, defined in terms of the $α$-relative entropies, coincide for the parameter range $α\in (0,2]$, and show an upper bound on the one-shot epsilon-capacity of a classical-quantum channel in terms of these capacities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0912_1286 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | On the quantum Renyi relative entropies and related capacity formulas Mosonyi, M. Hiai, F. Quantum Physics We show that the quantum $α$-relative entropies with parameter $α\in (0,1)$ can be represented as generalized cutoff rates in the sense of [I. Csiszar, IEEE Trans. Inf. Theory 41, 26-34, (1995)], which provides a direct operational interpretation to the quantum $α$-relative entropies. We also show that various generalizations of the Holevo capacity, defined in terms of the $α$-relative entropies, coincide for the parameter range $α\in (0,2]$, and show an upper bound on the one-shot epsilon-capacity of a classical-quantum channel in terms of these capacities. |
| title | On the quantum Renyi relative entropies and related capacity formulas |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/0912.1286 |