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A quantum Fourier transform algorithm

Chris Lomont
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Abstract

Algorithms to compute the quantum Fourier transform over a cyclic group are fundamental to many quantum algorithms. This paper describes such an algorithm and gives a proof of its correctness, tightening some claimed performance bounds given earlier. Exact bounds are given for the number of qubits needed to achieve a desired tolerance, allowing simulation of the algorithm.

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Chris Lomont. 2004-06-17. A quantum Fourier transform algorithm. https://arxiv.org/abs/quant-ph/0404060

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