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Implementation of the Quantum Fourier Transform

Yaakov S. Weinstein, Seth Lloyd, David G. Cory

quant-pharXiv:quant-ph/9906059

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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