Recoverability of quantum channels via hypothesis testing
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909386976264192 |
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| author | Jenčová, Anna |
| author_facet | Jenčová, Anna |
| contents | A quantum channel is sufficient with respect to a set of input states if it can be reversed on this set. In the approximate version, the input states can be recovered within an error bounded by the decrease of the relative entropy under the channel. Using a new integral representation of the relative entropy in arXiv:2208.12194, we present an easy proof of a characterization of sufficient quantum channels and recoverability by preservation of optimal success probabilities in hypothesis testing problems, equivalently, by preservation of $L_1$-distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11707 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Recoverability of quantum channels via hypothesis testing Jenčová, Anna Quantum Physics A quantum channel is sufficient with respect to a set of input states if it can be reversed on this set. In the approximate version, the input states can be recovered within an error bounded by the decrease of the relative entropy under the channel. Using a new integral representation of the relative entropy in arXiv:2208.12194, we present an easy proof of a characterization of sufficient quantum channels and recoverability by preservation of optimal success probabilities in hypothesis testing problems, equivalently, by preservation of $L_1$-distance. |
| title | Recoverability of quantum channels via hypothesis testing |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2303.11707 |