Volume 536, Issue 4 2300457
Research Article

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

Selçuk Çakmak

Corresponding Author

Selçuk Çakmak

Department of Software Engineering, University of Samsun, Samsun, 55420 Türkiye

E-mail: [email protected]

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Murat Kurt

Murat Kurt

Department of Physics, Ondokuz Mayıs University, Samsun, 55139 Türkiye

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Azmi Gençten

Azmi Gençten

Department of Physics, Ondokuz Mayıs University, Samsun, 55139 Türkiye

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First published: 15 December 2023

Abstract

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.

Conflict of Interest

The authors declare no conflict of interest.

Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

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