  We develop a novel method for multiphoton controllable transport between
remote resonators. Specifically, an auxiliary resonator is used to control the
coherent long-range coupling of two spatially separated resonators, mediated by
a coupled-resonator chain of arbitrary length. In this manner, an arbitrary
multiphoton quantum state can be either transmitted through or reflected off
the intermediate chain on demand, with very high fidelity. We find, on using a
time-independent perturbative treatment, that quantum information leakage of an
arbitrary Fock state is limited by two upper bounds, one for the transmitted
case and the other for the reflected case. In principle, the two upper bounds
can be made arbitrarily small, which is confirmed by numerical simulations.
