A. Peres, CHAOTIC EVOLUTION IN QUANTUM-MECHANICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4524-4527
A quantum system is described, whose wave function has a complexity th
at increases exponentially with time. Namely, for any fixed orthonorma
l basis, the number of components required for an accurate representat
ion of the wave function increases exponentially.