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arXiv · 2411.00260

Scalable quantum circuit design for QFT-based arithmetic

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

In this research, we create a scalable version of the quantum Fourier transform-based arithmetic circuit to perform addition and subtraction operations on N n-bit unsigned integers encoded in quantum registers, and it is compatible with d-level quantum sources, called qudits. We present qubit- and ququart-based multi-input QFT adders, and we compare and discuss potential benefits such as circuit simplicity and noise sensitivity. The results show that a ququart-based system significantly reduces gate count and improves computational efficiency compared to qubit-based systems. Overall, the findings presented in this study represent a promising step forward in the development of efficient quantum arithmetic circuits, particularly for multi-input operations, with clear advantages for ququart-based systems in reducing gate count, decoherence, and circuit complexity.

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Murat Kurt, Ayda Kaltehei, Azmi Gençten, Selçuk Çakmak. 2024-10-31. Scalable quantum circuit design for QFT-based arithmetic. https://arxiv.org/abs/2411.00260

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