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arXiv · 2504.17090

Construction of Boolean Logic Gates Using QFT-Based Adder Architecture

Ayda Kaltehei·Murat Kurt·Azmi Gençten·Selçuk Çakmak
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Abstract

In this study, we construct the quantum reversible counterparts of the logical AND, OR, XOR, NOR, and NAND gates. We utilize a quantum Fourier transform (QFT)-based adder circuit that replicates the functionality of a digital half-adder, which computes the sum and carry of two input bits using XOR and AND gates, respectively. To realize different logic gate operations, we apply pre- and post-processing to the QFT-adder using quantum gates, leveraging Boolean algebra properties to enable conversions between various logical functions. Although the number of elementary quantum logic gates increases for a small number of inputs-making the approach appear inefficient at first glance-the overall required qubit count is reduced compared to non-QFT-based designs as the number of inputs increases.

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Ayda Kaltehei, Murat Kurt, Azmi Gençten, Selçuk Çakmak. 2025-04-23. Construction of Boolean Logic Gates Using QFT-Based Adder Architecture. https://arxiv.org/abs/2504.17090

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