  A representation of current is presented which can account for ideal
conduction and distinguish superconductors, superfluids, ideal, and non-ideal
conductors. The idea of the scheme is that different current operators and
transport weights can be constructed based on the number of charge carriers in
basic units of conduction. Ideal conductors with basic units of $p$ charge
carriers exhibit a flux quantization rule of $\Phi_B=nhc/(pe)$ (for example
$p=2$ for BCS). Extension of the current operators to lattice systems is also
presented. A full diagonalization calculation for an interacting model of
spinless fermions of all the transport coefficients is carried out. It is shown
that in a number of strongly correlated models ideal conduction involving the
simultaneous motion of all charge carriers is possible.
