A novel reversible ternary coded decimal adder/subtractor

Reversible ternary logic is a promising new research for the future of quantum computing, which has several advantages over the binary ones. In this paper, an effective design of reversible ternary coded decimal (TCD) adder/subtractor is proposed. For this purpose, at first, we propose a new reversible ternary full-adder, called comprehensive reversible ternary full-adder, using the ternary logic capabilities that can sum four ternary values and produce two ternary outputs. Moreover, we implement a 3-qutrit ripple carry adder (RCA). Then, we propose a quantum realization of TCD error detector circuit. Next, a novel quantum reversible TCD adder and a novel quantum reversible TCD subtractor are designed and implemented using the proposed 3-qutrit RCA and the proposed TCD error detector. Finally, by merging these two circuits, we propose an effective quantum realization of reversible TCD adder/subtractor. The results of evaluations show that the proposed circuits are superior or similar to related counterpart works in terms of constant input, garbage outputs, hardware complexity and quantum cost criteria.