dorsal/arxiv
View SchemaSpace-Filling Curves for Quantum Control Parameters
| Authors | Fariel Shafee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305021 |
| URL | https://arxiv.org/abs/quant-ph/0305021 |
| Journal | Electronic Journal of Theoretical Physics, V3 11, 2006 |
Abstract
We consider the use of space-filling curves (SFC) in scanning control parameters for quantum chemical systems. First we show that a formally exact SFC must be singular in the control parameters, but a finite discrete generalization can be used with no problem. We then make general observations about the relevance of SFCs in preference to linear scans of the parameters. Finally we present a simple magnetic field example relevant in NMR and show from the calculated autocorrelations that a SFC Peano-Hilbert curve gives a smoother sequence than a linear scan.
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"abstract": "We consider the use of space-filling curves (SFC) in scanning control\nparameters for quantum chemical systems. First we show that a formally exact\nSFC must be singular in the control parameters, but a finite discrete\ngeneralization can be used with no problem. We then make general observations\nabout the relevance of SFCs in preference to linear scans of the parameters.\nFinally we present a simple magnetic field example relevant in NMR and show\nfrom the calculated autocorrelations that a SFC Peano-Hilbert curve gives a\nsmoother sequence than a linear scan.",
"arxiv_id": "quant-ph/0305021",
"authors": [
"Fariel Shafee"
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"journal_ref": "Electronic Journal of Theoretical Physics, V3 11, 2006",
"title": "Space-Filling Curves for Quantum Control Parameters",
"url": "https://arxiv.org/abs/quant-ph/0305021"
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