Ancilla-Quantum Cost Trade-off during Reversible Logic Synthesis using Exclusive Sum-of-Products

Emerging technologies with asymptotic zero power dissipation, such as quantum computing, require the logical operations to be done in a reversible manner. In recent years, the problem of synthesizing Boolean functions in the reversible logic domain has gained significant research attention. The efficiency of the synthesis methods is measured in terms of quantum cost, gate cost, garbage lines, logic depth and speed of synthesis. In this paper, we present an approach based on Exclusive sum-of-Products (ESOP), which allows the user to explore the trade-off between quantum cost and garbage lines. The proposed technique adds a new dimension to the reversible logic synthesis solutions. We demonstrate by detailed experiments that controlled improvement in quantum cost and gate count by increasing garbage count can be achieved. In some cases, improved quantum cost and gate count compared to state-of-the-art synthesis methods are reported. Furthermore, we propose a novel rule-based approach to achieve ancilla-free reversible logic synthesis starting from an ESOP formulation

Introduction to RIMEP2: A Multi-Expression Programming System for the Design of Reversible Digital Circuits

Quantum computers are considered as a future alternative to circumvent the heat dissipation problem of VLSI circuits. The synthesis of reversible circuits is a very promising area of study considering the expected further technological advances towards quantum computing. In this report, we propose a linear genetic programming system to design reversible circuits -RIMEP2-. The system has evolved reversible circuits starting from scratch without resorting to a pre-existing library. The results show that among the 26 considered benchmarks, RIMEP2 outperformed the best published solutions for 20 of them and matched the remaining 6. RIMEP2 is presented in this report as a promising method with a considerable potential for reversible circuit design. It will be considered as work reference for future studies based on this method.Comment: 17 text pages, 8 Figures, Research Report, Contact author: [email protected]