  A $q$-deformed Weyl-Heisenberg algebra is used to define a deformed
displacement operator giving rise to a naturally normalized nonlinear coherent
states type. Robust maximally entangled deformed coherent states are studied
and the effect of such a deformation on the amount of the entanglement is
discussed. The analogy between environment decoherence and algebra deformation
is made through the deformation parameter.
