We numerically analyze quantum survival probability fluctuations in an open
, classically chaotic system. In a quasiclassical regime and in the presenc
e of classical mixed phase space, such fluctuations are believed to exhibit
a fractal pattern, on the grounds of semiclassical arguments. In contrast,
we work in a classical regime of complete chaoticity and in a deep quantum
regime of strong localization. We provide evidence that fluctuations are s
till fractal, due to the slow, purely quantum algebraic decay in time produ
ced by dynamical localization. Such findings considerably enlarge the scope
of the existing theory.