  As time passes, once simple quantum states tend to become more complex. For
strongly coupled k-local Hamiltonians, this growth of computational complexity
has been conjectured to follow a distinctive and universal pattern. In this
paper we show that the same pattern is exhibited by a much simpler system:
classical geodesics on a compact two-dimensional geometry of uniform negative
curvature. This striking parallel persists whether the system is allowed to
evolve naturally or is perturbed from the outside.
