论文标题
通用开关中信息传输的图解方法
A Diagrammatic Approach to Information Transmission in Generalised Switches
论文作者
论文摘要
量子开关是一个高阶操作，将其作为输入两个量子过程，并将它们结合在两个替代顺序的连贯叠加中。 在这里，我们根据分类量子力学的方法为量子开关提供了一种方法。具体而言，我们将量子开关表示为有限尺寸希尔伯特空间类别中的图之和，或等效地，作为由Selinger的CPM构造构建的图表之和。 三图的总和为完全去极化通道（CDPC）的经典容量激活提供了直觉，并允许对N通道开关的概括。我们通过得出计算CDPC的任何N通道开关的输出的排列条件来证明这些部分示意方法的使用，然后我们使用该条件来证明在所有可能的术语中，与N通道的循环排列相关的所有可能的术语中，具有最大的信息传输项是信息 -
The quantum switch is a higher-order operation that takes as an input two quantum processes and combines them in a coherent superposition of two alternative orders. Here we provide an approach to the quantum switch based on the methods of categorical quantum mechanics. Specifically, we represent the quantum switch as a sum of diagrams in the category of finite dimensional Hilbert spaces, or, equivalently, as a sum of diagrams built from Selinger's CPM construction. The sum-of-diagrams picture provides intuition for the activation of classical capacity of completely depolarising channels (CDPCs) and allows for generalisation to N-channel switches. We demonstrate the use of these partially diagrammatic methods by deriving a permutation condition for computing the output of any N-channel switch of CDPCs, we then use that condition to prove that amongst all possible terms, the interference terms associated to cyclic permutations of the N channels are the information-transmitting terms with maximum normalisation
