An approach to quantum cost optimization in reversible circuits

Recently, one of the main criteria used to evaluate reversible circuit designs is quantum cost. In this paper, an approach to reducing quantum cost of small-width reversible circuits is presented. Using our tool we have shown that for known benchmarks as well as designs taken from recent publications it is possible to obtain substantial savings in quantum cost (35% on average for 4-input benchmarks). It is also shown that quantum cost of 5-input circuits can be reduced using the same tool.