New constructive counterexamples to additivity of minimum output Rényi p-entropy of quantum channels

• URL: http://arxiv.org/abs/2301.07428v3
• Date: Wed, 28 Aug 2024 13:19:41 GMT
• Title: New constructive counterexamples to additivity of minimum output Rényi p-entropy of quantum channels
• Authors: Krzysztof Szczygielski, Michał Studziński,
• Abstract summary: We present new families of quantum channels for which corresponding minimum output R'enyi $p$-entropy is not additive. Our manuscript is motivated by the results of Grudka et al., J. Phys. A: Math. Theor. 43 425304.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we present new families of quantum channels for which corresponding minimum output R\'enyi $p$-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 $p>2$.

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