Utilization of LTEx Feynman Gate in Designing the QCA Based Reversible Binary to Gray and Gray to Binary Code Converters

Abstract

Aims: The Quantum-dot Cellular Automata explores a unique perspective in the arena of the architectural design of future quantum computers, precisely due to its ultra-low packing density, high operating speed, and low power dissipation. On the other side, reversible computing allows the implementation of extreme low power-consuming circuits by avoiding energy dissipation during the time of computation. Objective: In this paper, we have explored the QCA design of reversible binary to gray and gray to binary code converters based on the application of a unique model of Feynman gate using the layered T exclusive-OR module (abbreviated in this work as LTEx Feynman gate). Methods: We have proposed algorithms to produce multi-control reversible binary to gray and gray to binary code converters and to develop cost-efficient QCA layouts. Results: Our systematic literature survey on the existing QCA designs of reversible binary to gray and gray to binary code converters helped us to compare and analyze the proposed design with the existing ones and identify it as the best design in terms of reversible, and QCA design metrics. Conclusion: Significant improvements in design metrics owing to successful experimentations over the previous designs are reported while instantiating 3X3,4X4, and 8X8 counterpart layouts.