QFT based quantum arithmetic logic unit on IBM quantum computer

Abstract: In this study, we constructed a primitive quantum arithmetic logic unit (qALU) based on the quantum Fourier transform. The qALU is capable of performing arithmetic ADD (addition) and logic NAND gate operations. We presented two versions of the arithmetic logic unit, with two-input and four-input capabilities. By comparing the required number of quantum gates for serial and parallel architectures in executing arithmetic addition, we evaluated the performance. We executed our quantum Fourier transform based qALU design on real quantum computer hardware provided by IBM. The results demonstrated that the proposed circuit can perform arithmetic and logic operations with a high success rate. Furthermore, we discussed the potential implementation of qALU circuit in the field of computer science, highlighting the possibility of constructing soft-core processor on quantum processing unit.