  We consider novel implementation of quantum teleportation protocol of unknown
qubit by superposition of displacement operators with equal modulo but opposite
in sign amplitudes. Entangled hybrid state with coherent components of small
amplitude is used as quantum channel. Coherent components of the quantum
channel 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 two states of a single photon in superposition state of two modes. The
superposition of the displacement operators is nonunitary, so success
probability of the protocol depends on the amplitude parameters of the
teleported qubit. Remarkably, the success probability of the teleportation can
be made arbitrary high for some amplitude values of the teleported state by
means of initial amplitude modulation of unknown qubit and bits of classical
information for Bob to identify the states. The scheme is realized by linear
optics methods and works without photon number resolving measurement.
