Type: Article
Publication Date: 2017-02-22
Citations: 148
DOI: https://doi.org/10.1103/physrevd.95.045010
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.