QFT based quantum arithmetic logic unit on IBM quantum computer

TL;DR

This paper presents a quantum Fourier transform-based quantum arithmetic logic unit implemented on IBM quantum hardware, capable of performing addition and NAND operations with high success, and discusses its potential for quantum processor design.

Contribution

Introduces a novel qALU design based on quantum Fourier transform with two and four-input versions, tested on real quantum hardware.

Findings

High success rate in quantum arithmetic and logic operations

Comparison of serial and parallel architectures for quantum addition

Feasibility of constructing quantum soft-core processors

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.