量子通道最小输出雷尼p熵可加性的新建设性反例

IF 2.2 3区计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS

IEEE Transactions on Information Theory Pub Date : 2024-08-19 DOI:10.1109/TIT.2024.3446191

Krzysztof Szczygielski;Michał Studziński

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引用次数: 0

摘要

在本文中，我们提出了新的量子信道系列，对于这些信道，相应的最小输出雷尼p熵是不相加的。我们的手稿受到了格鲁德卡等人的研究成果的启发，我们将重点放在以 $\mathbb {C}^{d} 中的反对称子空间的扩展和子空间为特征的通道上。\times \mathbb {C}^{d}$ ，它们在 $p\gt 2$ 时表现出相加性断裂。

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New Constructive Counterexamples to Additivity of Minimum Output Rényi p-Entropy of Quantum Channels

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. 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

$p\gt 2$

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来源期刊

IEEE Transactions on Information Theory 工程技术-工程：电子与电气

CiteScore

5.70

自引率

20.00%

发文量

514

审稿时长

12 months

期刊介绍： The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.