@article{4c415ad52ede4923ad4fd7ff32e19f40,
title = "Second order gradient ascent pulse engineering",
abstract = "We report some improvements to the gradient ascent pulse engineering (GRAPE) algorithm for optimal control of spin ensembles and other quantum systems. These include more accurate gradients, convergence acceleration using the Broyden-Fletcher-Goldfarb-Shanno (BFGS) quasi-Newton algorithm as well as faster control derivative calculation algorithms. In all test systems, the wall clock time and the convergence rates show a considerable improvement over the approximate gradient ascent.",
keywords = "BFGS, GRAPE, Optimal control",
author = "{De Fouquieres}, P. and Schirmer, {S. G.} and Glaser, {S. J.} and Ilya Kuprov",
note = "Funding Information: The authors would like to thank Burkhard Luy, Shai Machnes, Ivan Maximov, Uwe Sander, Thomas Schulte-Herbr{\"u}ggen, Thomas Skinner, Luke Edwards and David Tannor for stimulating discussions. We are also grateful to the anonymous reviewer, whose comments have helped significantly to improve the presentation of this paper. This work is supported by EPSRC (EP/F065205/1, EP/H003789/1, EP/D07192X/1, CASE/CNA/07/47), DFG (Gl 203/6-1, SFB 631), Hitachi Corporation and the EU program QESSENCE.",
year = "2011",
month = oct,
doi = "10.1016/j.jmr.2011.07.023",
language = "English",
volume = "212",
pages = "412--417",
journal = "Journal of Magnetic Resonance",
issn = "1090-7807",
publisher = "Academic Press Inc.",
number = "2",
}