Design of New Quantum/Reversible Ternary Subtractor Circuits

Ternary quantum circuits play a significant role in future quantum computing technology because they have many advantages over binary quantum circuits. Subtraction is considered as being one of the key arithmetic operations; hence, subtractors are very essential for the construction of various computational units of quantum computers and other complex computational systems. In this paper, we have proposed the realization of a quantum reversible ternary half-subtractor circuit using a generalized ternary gate, a ternary Toffoli gate, and a ternary (CNOT)-N-2 gate. Based on the realization of the ternary half-subtractor, we proposed the realization of a ternary full-subtractor.