New design of reversible/quantum devices for ternary arithmetic

Multiple-valued logic is a promising choice for future computer technologies, which provides a set of advantages comparing to binary circuits. We have developed an adaptive genetic algorithm for ternary reversible circuits using Muthukrishnan-Stroud gates. The method for chromosomes coding, as well as a reasonable choice of algorithm parameters, allowed obtaining circuits for ternary arithmetic devices, which are better than other known methods in terms of quantum cost, delay time and amount of input ancillary and output garbage qutrits. Based on our realization of ternary parallel full-adder we synthesized reversible ternary parallel adder/subtractor, which has better parameters over the previously reported devices.