Hadamard NMR spectroscopy for two-dimensional quantum information processing and parallel search algorithms

Details Hadamard NMR spectroscopy for two-dimensional quantum information processing and parallel search algorithms Hadamard NMR spectroscopy for two-dimensional quantum information processing and parallel search algorithms

2006-09-08

arxiv.org/abs/quant-ph/0609061v1

Physics

Quantum Physics

28 pages, 10 figures. Journal of Magnetic Resonance (In Press)

Scientific paper

10.1016/j.jmr.2006.09.001

Hadamard spectroscopy has earlier been used to speed-up multi-dimensional NMR experiments. In this work we speed-up the two-dimensional quantum computing scheme, by using Hadamard spectroscopy in the indirect dimension, resulting in a scheme which is faster and requires the Fourier transformation only in the direct dimension. Two and three qubit quantum gates are implemented with an extra observer qubit. We also use one-dimensional Hadamard spectroscopy for binary information storage by spatial encoding and implementation of a parallel search algorithm.

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