title: Implementation of the quantum Fourier transform.
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.
authors: Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, 02139, USA.
authors: Y S
authors: YS
authors: Weinstein
authors: M A
authors: MA
authors: Pravia
authors: E M
authors: EM
authors: Fortunato
authors: S
authors: S
authors: Lloyd
authors: D G
authors: DG
authors: Cory