Scalable quantum circuit design for QFT-based arithmetic

• URL: http://arxiv.org/abs/2411.00260v1
• Date: Thu, 31 Oct 2024 23:34:06 GMT
• Title: Scalable quantum circuit design for QFT-based arithmetic
• Authors: Murat Kurt, Ayda Kaltehei, Azmi Gençten, Selçuk Çakmak,
• Abstract summary: 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. We present qubit- and ququart-based multi-input QFT adders, and we compare and discuss potential benefits such as circuit simplicity and noise sensitivity.
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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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