  We propose a feasible scheme of conditional quantum partial teleportation of
a qubit as optimal asymmetric cloning at a distance. In this scheme, Alice
preserves one imperfect clone whereas other clone is teleported to Bob.
Fidelities of the clones can be simply controlled by an asymmetry in Bell-state
measurement. The optimality means that tightest inequality for the fidelities
in the asymmetric cloning is saturated. Further we design a conditional
teleportation as symmetric optimal N-> N+1 cloning from N Alice's replicas on
single distant clone. We shortly discussed two feasible experimental
implementations, first one for teleportation of polarization state of a photon
and second one, for teleportation of a time-bin qubit.
