论文标题
量子动力学并非严格折衷
Quantum dynamics is not strictly bidivisible
论文作者
论文摘要
我们解决了在两个量子通道中可分开的量子通道的问题，但在三个或更一般情况下不可分解的频道不可分割，但在$ n $中不可分割，但在$ n+1 $ $ $中不可分解。我们表明，对于量子，这些通道\ textit {do}存在，而对于一般有限维量子通道，至少对于完整的Kraus等级通道而言，相同的量子相同。为了证明这些结果，我们引入了量子通道的新型分解，将它们分为边界和马尔可夫部分，并适用于任何有限的维度。此外，引入的分解量相当于划分类别和量子动态图的实现类型之间的众所周知的连接，可用于使用较小的量子寄存器实现量子通道。
We address the question of the existence of quantum channels that are divisible in two quantum channels but not in three or, more generally, channels divisible in $n$ but not in $n+1$ parts. We show that for the qubit those channels \textit{do not} exist, whereas for general finite-dimensional quantum channels the same holds at least for full Kraus rank channels. To prove these results, we introduce a novel decomposition of quantum channels which separates them into a boundary and Markovian part, and it holds for any finite dimension. Additionally, the introduced decomposition amounts to the well-known connection between divisibility classes and implementation types of quantum dynamical maps, and can be used to implement quantum channels using smaller quantum registers.
