量子容量的算子代数方法

2016 IEEE International Symposium on Information Theory (ISIT) Pub Date : 2016-07-10 DOI:10.1109/ISIT.2016.7541588

Li Gao, M. Junge, Nicholas Laracuente

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引用次数: 0

摘要

利用一种合适的代数设置，我们得到了由有限群相关的随机酉所得到的不可降解通道的量子容量和潜在量子容量的新估计。这种方法可以推广到量子群，并使用了算子代数和r型熵插值的新工具。作为应用，我们得到了高维去极化信道的新估计。

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Operator algebra approach to quantum capacities

Using a suitable algebraic setup, we find new estimates of the quantum capacity and the potential quantum capacity for non-degradable channels obtained by random unitaries associated with a finite group. This approach can be generalized to quantum groups and uses new tools from operator algebras and interpolation of Rényi-type entropies. As an application, we obtain new estimates for the depolarizing channel in high dimension.

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2016 IEEE International Symposium on Information Theory (ISIT)

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