标题： 大时间尺度下量子马尔可夫噪声的能力 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，我们研究可以存储的经典或量子系统最大维度，该系统可以在任意长的时间内被存储。 我们证明了，与固定时间的情形不同，在无限时间的极限情况下，经典容量和量子容量由量子信道周边谱的易于计算的性质来刻画。 此外，在张量积下，这些容量是可加的，这意味着在香农理论的语言中，一次性的和渐近独立同分布（i.i.d.）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周边子空间的结构，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.