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.
Bibliographical noteFunding Information:
Useful discussions with Dr. Rangeet Bhattacharyya and Raghav G. Mavinkurve are gratefully acknowledged. The use of AV-500 NMR spectrometer funded by the Department of Science and Technology (DST), New Delhi, at the NMR Research Centre, Indian Institute of Science, Bangalore, is gratefully acknowledged. A.K. acknowledges DAE for Raja Ramanna Fellowship, and DST for a research grant on “Quantum Computing using NMR techniques”.
- Hadamard spectroscopy
- Parallel search algorithm
- Quantum computation
- Spatial encoding