New constructive counterexamples to additivity of minimum output Rényi p-entropy of quantum channels
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866918136173821952 |
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| author | Szczygielski, Krzysztof Studziński, Michał |
| author_facet | Szczygielski, Krzysztof Studziński, Michał |
| contents | In this paper, we present new families of quantum channels for which corresponding minimum output Rényi $p$-entropy is not additive. Our manuscript is motivated by the results of Grudka et al., J. Phys. A: Math. Theor. 43 425304 and we focus on channels characterized by both extensions and subspaces of the antisymmetric subspace in $\mathbb{C}^d \otimes \mathbb{C}^d$, which exhibit additivity breaking for $p>2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_07428 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New constructive counterexamples to additivity of minimum output Rényi p-entropy of quantum channels Szczygielski, Krzysztof Studziński, Michał Quantum Physics Mathematical Physics In this paper, we present new families of quantum channels for which corresponding minimum output Rényi $p$-entropy is not additive. Our manuscript is motivated by the results of Grudka et al., J. Phys. A: Math. Theor. 43 425304 and we focus on channels characterized by both extensions and subspaces of the antisymmetric subspace in $\mathbb{C}^d \otimes \mathbb{C}^d$, which exhibit additivity breaking for $p>2$. |
| title | New constructive counterexamples to additivity of minimum output Rényi p-entropy of quantum channels |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2301.07428 |