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Nuclear magnetic resonance implementation of the Deutsch-Jozsa algorithm using different initial states

Vladimir L. Ermakov·B. M. Fung
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Abstract

The Deutsch-Jozsa algorithm distinguishes constant functions from balanced functions with a single evaluation. In the first part of this work, we present simulations of the nuclear magnetic resonance (NMR) application of the Deutsch-Jozsa algorithm to a 3-spin system for all possible balanced functions. Three different kinds of initial states are considered: a thermal state, a pseudopure state, and a pair (difference) of pseudopure states. Then, simulations of several balanced functions and the two constant functions of a 5-spin system are described. Finally, corresponding experimental spectra obtained by using a 16-frequency pulse to create an input equivalent to either a constant function or a balanced function are presented, and the results are compared with those obtained from computer simulations.

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Vladimir L. Ermakov, B. M. Fung. 2003-04-08. Nuclear magnetic resonance implementation of the Deutsch-Jozsa algorithm using different initial states. https://doi.org/10.1063/1.1574802

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