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Implementation of the Quantum Fourier Transform

Yaakov S. Weinstein·Seth Lloyd·David G. Cory
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Abstract

The quantum Fourier transform (QFT) has been implemented on a three bit nuclear magnetic resonance (NMR) quantum computer, providing a first step towards the realization of Shor's factoring and other quantum algorithms. Implementation of the QFT is presented with fidelity measures, and state tomography. Experimentally realizing the QFT is a clear demonstration of NMR's ability to control quantum systems.

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Yaakov S. Weinstein, Seth Lloyd, David G. Cory. 1999-06-16. Implementation of the Quantum Fourier Transform. https://doi.org/10.1103/physrevlett.86.1889

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