论文标题
$ n $完全去极化渠道的不确定因果订单的古典通信
Classical Communications with Indefinite Causal Order for $N$ completely depolarizing channels
论文作者
论文摘要
如果将一个完全去极化通道的两个相同的副本放入其可能的因果秩序的叠加中，则它们可以传输非零的经典信息。在这里，我们研究了如何通过$ m $因果订单通过Quantum Switch传输$ n $ depolarized通道传输古典信息。如果叠加仅使用频道的循环排列，我们会计算孔波数量，并发现它以$ m $的增加而增加，并且它与$ n $无关。如果我们增加了$ m $，那么对于贵族来说，它永远不会达到$ 1 $。另一方面，随着消息系统的尺寸$ d $，经典容量会降低。此外，对于$ n = 3 $和$ n = 4 $，我们研究了所有因果订单的叠加以及属于循环置换子组创建的不同cosets的统一超级因果订单。
If two identical copies of a completely depolarizing channel are put into a superposition of their possible causal orders, they can transmit non-zero classical information. Here, we study how well we can transmit classical information with $N$ depolarizing channels put in superposition of $M$ causal orders via quantum SWITCH. We calculate Holevo quantity if the superposition uses only cyclic permutations of channels and find that it increases with $M$ and it is independent of $N$. For a qubit it never reaches $1$ if we are increasing $M$. On the other hand, the classical capacity decreases with the dimension $d$ of the message system. Further, for $N=3$ and $N=4$ we studied superposition of all causal orders and uniformly superposed causal orders belonging to different cosets created by cyclic permutation subgroup.
