  We consider novel implementation of quantum teleportation protocol of unknown
qubit with entangled hybrid state. Coherent components of the entangled hybrid
state displace the teleported qubit at the same absolute but opposite in sign
values, so that any information about amount by which the qubit is displaced is
lost despite the fact that one of these events has definitely occurred. Alice
unambiguously distinguishes her measurement outcomes and Bob obtains at his
disposal states of a single photon in superposition of two modes with
controllable amplitude distortions. We consider the implementation of this
protocol with a third participant who off-line prepares amplitude modulated
unknown qubits and hand them to Alice for teleportation. In this
interpretation, the success probability of the teleportation depends on the
absolute value of the amplitude of the unknown qubit. In particular, highly
unbalanced unknown qubits can be teleported with success probability close to
one. We also consider some ways of demodulating amplitude modulated states by
the receiver in order to increase the success probability of the teleportation
of unknown qubits.
