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arXiv · 2604.00272

Quantum Non-Moduler Multiplication with QFT-Based Multi Input Parallelized Adder

Murat Kurtand Selçuk Çakmak·Azmi Gençten
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Abstract

In this study, we propose an efficient quantum multiplication approach based on a QFT-assisted parallelized addition scheme. The multiplication stage is implemented using a structure composed entirely of Toffoli gates, which generate partial products. In the second stage, these partial results are accumulated using a QFT-based adder. Unlike conventional QFT-based arithmetic circuits, the proposed design eliminates the repeated application of QFT and inverse QFT (IQFT) operations during intermediate summation processes. This leads to a significant reduction in the total gate count and circuit complexity, enabling a more resource-efficient implementation. To demonstrate the feasibility of the proposed approach, a quantum circuit that performs the multiplication of two 3-bit numbers is designed. The circuit is tested and validated using IBM quantum simulators. The results indicate that the proposed method provides a more efficient alternative to traditional quantum multiplication techniques in terms of gate cost and circuit depth.

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Murat Kurtand Selçuk Çakmak, Azmi Gençten. 2026-03-31. Quantum Non-Moduler Multiplication with QFT-Based Multi Input Parallelized Adder. https://arxiv.org/abs/2604.00272

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