Scaling and better approximating quantum Fourier transform by higher radices

Details Scaling and better approximating quantum Fourier transform by higher radices Scaling and better approximating quantum Fourier transform by higher radices

2007-02-20

arxiv.org/abs/quant-ph/0702195v1

IEEE Transactions on Computers, Vol. 56, No. 2, pp. 202-207, February 2007

Physics

Quantum Physics

Scientific paper

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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