Lattice models using Cellular Automata (CA) and Coupled Map Lattices (CML)
Based on the original introduction in the scientific literature of Quantum Cellular Automata (QCA) by one of us (G.G.) in collaboration with Anton Zeilinger, we study the effects of nonunitary QCA evolutions, which can be applied to the phenomenon of decoherence in nanotechnology. The central feature of QCA, as opposed to classical CA, is that the complex-numbered values at individual sites ("cells") are such that their absolute squares (i.e., the detection probabilities) lie between 0 and 1.
Figure: Quantum Cellular Automaton with one initial point on a vertical array of 120 cells. Evolution runs from left to right. Different colors represent different values of detection probabilities between 0 and 1.