Reversible Logic Synthesis of Networks of Positive/Negative Control Gates

The research in reversible logic has been attracted in recent years. It has applications in quantum computing, low-power CMOS design and nanotechnology. Many methods on how to cascade a reversible network have been proposed. And all these networks are composed of Toffoli/Fredkin gates. In this paper, we present a method that synthesizes a network with family of Positive/Negative Control (PNC) gates. Through introducing some examples for 3×3 reversible functions, and comparing with the network which is composed of Toffoli gates, the results show that introducing the PNC gates can produce an improvement for the number of gates in the reversible network, and have an advantage in reducing the cost of network.