We show that quantum dynamical systems can exhibit infinite correlations in
their behavior when repeatedly measured. We model quantum processes using
quantum finite-state generators and take the stochastic language they generate
as a representation of their behavior. We analyze two spin-1 quantum systems
that differ only in how they are observed. The corresponding language generated
has short-range correlation in one case and infinite correlation in the other.Comment: 2 pages, 2 figure
