dorsal/arxiv
View SchemaNuclear magnetic resonance implementation of the Deutsch-Jozsa algorithm using different initial states
| Authors | Vladimir L. Ermakov, B. M. Fung |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304058 |
| URL | https://arxiv.org/abs/quant-ph/0304058 |
| DOI | 10.1063/1.1574802 |
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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"abstract": "The Deutsch-Jozsa algorithm distinguishes constant functions from balanced\nfunctions with a single evaluation. In the first part of this work, we present\nsimulations of the nuclear magnetic resonance (NMR) application of the\nDeutsch-Jozsa algorithm to a 3-spin system for all possible balanced functions.\nThree different kinds of initial states are considered: a thermal state, a\npseudopure state, and a pair (difference) of pseudopure states. Then,\nsimulations of several balanced functions and the two constant functions of a\n5-spin system are described. Finally, corresponding experimental spectra\nobtained by using a 16-frequency pulse to create an input equivalent to either\na constant function or a balanced function are presented, and the results are\ncompared with those obtained from computer simulations.",
"arxiv_id": "quant-ph/0304058",
"authors": [
"Vladimir L. Ermakov",
"B. M. Fung"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1574802",
"title": "Nuclear magnetic resonance implementation of the Deutsch-Jozsa algorithm using different initial states",
"url": "https://arxiv.org/abs/quant-ph/0304058"
},
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