  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.
