  The formulation of the no-cloning theorem in the framework of phase-space
noncommutative (NC) quantum mechanics (QM) is examined, and its implications
for the computation of quantum cloning probabilities and teleportation fidelity
are investigated through the Weyl-Wigner formulation of QM. The principles of
QM re-edited in terms of a deformed Heisenberg-Weyl algebra are shown to
provide a covariant formulation for the quantum fidelity, through which the
results from the no-cloning theorem for the ordinary QM can be reproduced.
Besides exhibiting an explicit correspondence between standard and NC QM for
Gaussian Wigner functions, our results suggest a feasible interpretation for
the NC continuous variable quantum cloning given in terms of quantum
teleportation protocols.
