We show that the injection of spectrally narrow probe wave packets int
o quantized parametrically amplifying media can give rise to transient
tachyonic wave packets. Remarkably, their quantum information, albeit
causal, is confined to times corresponding to superluminal velocities
, which is advantageous for communications. These phenomena are explic
itly analyzed for stimulated Raman scattering, parametric down-convers
ion and four-wave mixing.