论文标题
保利动力地图的奇异性，混合和非马克维亚性
Singularities, mixing and non-Markovianity of Pauli dynamical maps
论文作者
论文摘要
正如各种作者最近观察到的那样，可以通过混合马尔可道通道来产生量子非马克维亚性。我们考虑了一个类似的问题，即是否可以通过混合非单明通道（即缺乏它们的通道）来产生通道的奇异性。在这里，我们在Qubit Pauli渠道的背景下以负面的方式回答这个问题。另一方面，将通道与奇异性混合会导致消除所得通道中的奇异性。我们区分了两种类型的奇异通道，这些通道在混合下导致了所得通道中奇异性的差异截然不同。指出了与非马克维亚性的联系（在完全不可分割的意义上）。这些结果通过通道混合的过程对非可逆性量子通道实现实现实现的实现构成了非平凡的限制。
Quantum non-Markovianity of channels can be produced by mixing Markovian channels, as observed recently by various authors. We consider an analogous question of whether singularities of the channel can be produced by mixing non-singular channels, i.e., ones that lack them. Here we answer the question in the negative in the context of qubit Pauli channels. On the other hand, mixing channels with a singularity can lead to the elimination of singularities in the resultant channel. We distinguish between two types of singular channels, which lead under mixing to broadly quite different properties of the singularity in the resultant channel. The connection to non-Markovianity (in the sense of completely positive indivisibility) is pointed out. These results impose nontrivial restrictions on the experimental realization of non-invertible quantum channels by a process of channel mixing.
