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Space-Filling Curves for Quantum Control Parameters | | Fariel Shafee
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5 May 2003 | | Subject: | quant-ph | | 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. | | Source: | arXiv, quant-ph/0305021 | | Services: | Forum | Review | PDF | Favorites | |
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