|Title:||Efficient implementations of the quantum Fourier transform|
|Other Titles:||an experimental perspective|
|Abstract:||The Quantum Fourier transform (QFT) is a key ingredient in most quantum algorithms. We have compared various spin-based quantum computing schemes to implement the QFT from the point of view of their actual time-costs and the accuracy of the implementation. We focus here on an interesting decomposition of the QFT as a product of the non-selective Hadamard transformation followed by multiqubit gates corresponding to square- and higher-roots of controlled-NOT gates. This decomposition requires only O(n) operations and is thus linear in the number of qubits n. The schemes were implemented on a two-qubit NMR quantum information processor and the resultant density matrices reconstructed using standard quantum state tomography techniques. Their experimental fidelities have been measured and compared.|
|Citation:||Dorai, Kavita; Suter, Dieter: Efficient implementations of the quantum Fourier transform : an experimental perspective. In: International Journal of Quantum Information Nr. 2, Jg. 3(2005), S. 413-424.|
|Appears in Collections:||Suter, Dieter Prof. Dr.|
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