Implementation of the quantum Fourier transform |
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Authors: | Weinstein Y S Pravia M A Fortunato E M Lloyd S Cory D G |
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Institution: | Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, 02139, USA. |
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Abstract: | A quantum Fourier transform (QFT) has been implemented on a three qubit nuclear magnetic resonance (NMR) quantum computer to extract the periodicity of an input state. Implementation of a QFT provides a first step towards the realization of Shor's factoring and other quantum algorithms. The experimental implementation of the QFT on a periodic state is presented along with a quantitative measure of its efficiency measured through state tomography. Experimentally realizing the QFT is a clear demonstration of the ability of NMR to control quantum systems. |
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