A quantum genetic algorithm based on cellular automata model

A novel quantum genetic algorithm based on cellular automata (CA) is proposed called cellular automata model quantum genetic algorithm (CA-QGA). In CA-QGA, each individual in population is mapped to a cell in CA, and the evolutionary of population is realised by the cells' iteration based on a function. Under the guidance of the function, some helpful information in each excellent individual can spread out across the whole population through much iteration. Aimed to maintain the diversity of population and help algorithm jump out of a local optimal solution, a quantum catastrophe is adopted when the best individual no longer improves. It is proved that this algorithm has lower time complexity and can converge to a global optimal solution with probability 1. Experimental results illustrate that the proposed algorithm has better performance.