On Jensen Gap and Capacity of a Shifted Depolarizing Quantum Channel

Pub Date : 2024-07-11 DOI:10.1134/s0081543824010048

E. L. Baitenov

引用次数: 0

Abstract

We study the problem of maximizing the Jensen gap with respect to the probability distribution in a fairly general case, and prove a theorem on the optimal distribution. Using the results obtained, we calculate the one-shot capacity of a certain family of non-unital quantum channels. We show that in sufficiently large dimensions the channel admits one of two modes of an optimal input ensemble depending on the parameters. We also prove that both the fulfillment and the violation of the entanglement-breaking property are possible in any dimension depending on the parameters of the channel.

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论偏移去极化量子通道的詹森间隙和容量

摘要我们研究了在一个相当普遍的情况下，关于概率分布的詹森差距最大化问题，并证明了一个关于最优分布的定理。利用所得到的结果，我们计算了某一族非空穴量子信道的单次容量。我们证明，在足够大的维度上，该信道根据参数的不同，可以采用最优输入集合的两种模式之一。我们还证明，根据信道的参数，在任何维度上都有可能实现和违反纠缠断裂特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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