Quantum Fourier Transform‐Based Arithmetic Logic Unit on a Quantum Processor

• Published in: Annalen der Physik 2024-04, Vol.536 (4), p.n/a
• Main Authors: Çakmak, Selçuk, Kurt, Murat, Gençten, Azmi
• Format: Article
• Language: English
• Subjects: Arithmetic and logic units; Circuit design; Fourier transforms; Gates (circuits); Logic; Microprocessors; quantum arithmetic logic unit; quantum computing; soft‐core processor
• ISSN: 0003-3804; 1521-3889
• DOI: 10.1002/andp.202300457

This study proposes and construct a primitive quantum arithmetic logic unit (qALU) based on the quantum Fourier transform (QFT). The qALU is capable of performing arithmetic ADD (addition) and logic NAND gate operations. It designs a scalable quantum circuit and presents the circuits for driving ADD and NAND operations on two‐input and four‐input quantum channels, respectively. By comparing the required number of quantum gates for serial and parallel architectures in executing arithmetic addition, it evaluates the performance. It also execute the proposed quantum Fourier transform‐based qALU design on real quantum processor hardware provided by IBM. The results demonstrate that the proposed circuit can perform arithmetic and logic operations with a high success rate. Furthermore, it discusses in detail the potential implementations of the qALU circuit in the field of computer science, highlighting the possibility of constructing a soft‐core processor on a quantum processing unit. In this research, a quantum arithmetic logic unit based on quantum Fourier transform is proposed, capable of performing arithmetic ADD and logic NAND gate operations on N‐inputs, with each input consisting of n‐bit numbers. The paper also discusses the possible construction of a soft‐core processor for the desired instruction set architecture, such as RISC‐V, on the quantum processing unit.