Unitarity of the global evolution is an extremely stringent condition on finite state models in discrete spacetime. Quantum cellular automata, in particular, are tightly constrained. In previous work we proved a simple No-go Theorem which precludes nontrivial homogeneous evolution for linear quantum cellular automata. Here we carefully define general quantum cellular automata in order to invest...

Quantum-dot Cellular Automata (QCA) is a promising, emerging nanotechnology based on single electron effects in quantum dots and molecules. While many logic implementations based on QCA devices have been proposed in literature [6, 7, 8], the inherent cellular structure of QCA cells make it a natural candidate for Cellular Automata (CA) implementation. CA offers regularity and modularity to the ...

In this paper, a new algorithm which is the result of the combination of cellular learning automata and frog leap algorithm (SFLA) is proposed for optimization in continuous, static environments.At the proposed algorithm, each memeplex of frogs is placed in a cell of cellular learning automata. Learning automata in each cell acts as the brain of memeplex, and will determine the strategy of moti...