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Scaling and better approximating quantum Fourier transform by higher radices

Zeljko Zilic·Katarzyna Radecka
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Abstract

Quantum Fourier Transform (QFT) plays a principal role in the development of efficient quantum algorithms. Since the number of quantum bits that can currently built is limited, while many quantum technologies are inherently three- (or more) valued, we consider extending the reach of the realistic quantum systems by building a QFT over ternary quantum digits. Compared to traditional binary QFT, the q-valued transform improves approximation properties and increases the state space by a factor of (q/2)n. Further, we use non-binary QFT derivation to generalize and improve the approximation bounds for QFT.

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Zeljko Zilic, Katarzyna Radecka. 2007-02-20. Scaling and better approximating quantum Fourier transform by higher radices. https://arxiv.org/abs/quant-ph/0702195

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