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arXiv · 2102.07394

Asymptotic analysis for $O_N^+$-Temperley-Lieb quantum channels

Sang-Gyun Youn
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Abstract

In this paper, we focus on a class of quantum channels which are covariant for symmetries from free orthogonal quantum groups $O_N^+$. These quantum channels are called $O_N^+$-Temperley-Lieb channels, and their information-theoretic properties such as Holevo information and coherent information were analyzed in [BCLY20], but their additivity questions remained open. The main result of this paper is to approximate $O_N^+$-Temperley-Lieb quantum channels by much simpler ones in terms Bures distance. As applications, we study strong additivity questions for $O_N^+$-Temperley-Lieb quantum channels, and their classical capacity, private classical capacity and quantum capacity in the asymptotic regime $N\rightarrow \infty$.

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BibTeXRIS

Sang-Gyun Youn. 2021-02-15. Asymptotic analysis for $O_N^+$-Temperley-Lieb quantum channels. https://arxiv.org/abs/2102.07394

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