Principles and Demonstrations of Quantum Information Processing by NMR Spectroscopy

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dc.creatorHavel, T. F.
dc.creatorSomaroo, S. S.
dc.creatorTseng, C. -H.
dc.creatorCory, D. G.
dc.date1998-12-31
dc.date1999-07-03
dc.date.accessioned2026-07-07T06:15:59Z
dc.date.available2026-07-07T06:15:59Z
dc.descriptionThis paper surveys our recent research on quantum information processing by nuclear magnetic resonance (NMR) spectroscopy. We begin with a geometric introduction to the NMR of an ensemble of indistinguishable spins, and then show how this geometric interpretation is contained within an algebra of multispin product operators. This algebra is used throughout the rest of the paper to demonstrate that it provides a facile framework within which to study quantum information processing more generally. The implementation of quantum algorithms by NMR depends upon the availability of special kinds of mixed states, called pseudo-pure states, and we consider a number of different methods for preparing these states, along with analyses of how they scale with the number of spins. The quantum-mechanical nature of processes involving such macroscopic pseudo-pure states also is a matter of debate, and in order to discuss this issue in concrete terms we present the results of NMR experiments which constitute a macroscopic analogue Hardy's paradox. Finally, a detailed product operator description is given of recent NMR experiments which demonstrate a three-bit quantum error correcting code, using field gradients to implement a precisely-known decoherence model.
dc.descriptionLaTeX, llncs style, 42 pages, 4 postscript figures; revisions include a greatly expanded introduction to the NMR product operator formalism, and substantial changes to the discussion of the NMR analogue of Hardy's paradox. To appear in Applicable Algebra in Engineering, Communication and Computing
dc.identifierhttps://arxiv.org/abs/quant-ph/9812086
dc.identifierhttp://arxiv.org/abs/quant-ph/9812086
dc.identifierAAECC 10, 339-374 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93927
dc.subjectQuantum Physics
dc.titlePrinciples and Demonstrations of Quantum Information Processing by NMR Spectroscopy
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