Space-Filling Curves for Quantum Control Parameters

Details Space-Filling Curves for Quantum Control Parameters Space-Filling Curves for Quantum Control Parameters

2003-05-05

arxiv.org/abs/quant-ph/0305021v1

Electronic Journal of Theoretical Physics, V3 11, 2006

Physics

Quantum Physics

Scientific paper

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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