We propose a quantum extension of the Markov-Dobrushin inequality. As an application, we estimate the Markov-Dobrushin constant for some classes of quantum Markov channels, in particular for the Pauli channel, widely studied in quantum information theory.

中文翻译：

---

量子通道的马尔可夫-多布鲁辛不等式

我们提出了 Markov-Dobrushin 不等式的量子扩展。作为一个应用，我们估计了某些类别的量子马尔可夫通道的马尔科夫-多布鲁辛常数，特别是泡利通道，在量子信息理论中得到了广泛的研究。