    def series_with_permutation(self, other):
        """Compute the series product with another channel permutation circuit

        Args:
            other (CPermutation):

        Returns:
            Circuit: The composite permutation circuit (could also be the
                identity circuit for n channels)
        """
        combined_permutation = tuple([self.permutation[p]
                                      for p in other.permutation])
        return CPermutation.create(combined_permutation)