  We study, by means of the stabilizer formalism, a quantum error correcting
code which is alternative to the standard block codes since it embeds a qubit
into a qudit. The code exploits the non-commutative geometry of discrete phase
space to protect the qubit against both amplitude and phase errors. The
performance of such code is evaluated on Weyl channels by means of the
entanglement fidelity as function of the error probability. A comparison with
standard block codes, like five and seven qubit stabilizer codes, shows its
superiority.
