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.
Cite
@article{arxiv.quant-ph/0305021,
title = {Space-Filling Curves for Quantum Control Parameters},
author = {Fariel Shafee},
journal= {arXiv preprint arXiv:quant-ph/0305021},
year = {2007}
}