title: Hadamard NMR spectroscopy for two-dimensional quantum information processing and parallel search algorithms.
abstract: 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.
authors.affiliation: NMR Quantum Computing and Quantum Information Group, Department of Physics and NMR Research Centre, Indian Institute of Science, Bangalore 560012, India.
authors.forename: T
authors.initials: T
authors.lastname: Gopinath
authors.forename: Anil
authors.initials: A
authors.lastname: Kumar
mesh_terms: D000465:Algorithms; D003205:Computing Methodologies; D016247:Information Storage and Retrieval / Q000379:methods*; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D010363:Pattern Recognition, Automated / Q000379:methods*; D011789:Quantum Theory; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted