标题： 量子马尔可夫噪声在长时间下的能力 显示英文标题

标题： Capacities of quantum Markovian noise for large times

摘要： 给定一个量子马尔可夫噪声模型，我们研究可以在任意长时间内存储的经典或量子系统的最大维度。 我们证明，与固定时间设置不同，在无限时间极限下，经典和量子容量由量子信道的边缘谱的有效可计算属性所表征。 此外，容量在张量积下是可加的，这意味着在香农理论的语言中，单次和渐近独立同分布的容量是相同的。 我们还提供了一个改进的算法来计算量子信道的边缘子空间的结构，这可能具有独立的兴趣。 显示英文摘要

摘要： Given a quantum Markovian noise model, we study the maximum dimension of a classical or quantum system that can be stored for arbitrarily large time. We show that, unlike the fixed time setting, in the limit of infinite time, the classical and quantum capacities are characterized by efficiently computable properties of the peripheral spectrum of the quantum channel. In addition, the capacities are additive under tensor product, which implies in the language of Shannon theory that the one-shot and the asymptotic i.i.d. capacities are the same. We also provide an improved algorithm for computing the structure of the peripheral subspace of a quantum channel, which might be of independent interest.