Second order gradient ascent pulse engineering
Second order gradient ascent pulse engineering
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.
412-417
de Fouquieres, P.
304b02b8-122c-4066-8806-a830fe4c4a13
Schirmer, S.G.
5005158b-ebfd-4370-880c-c83f7573c70c
Glaser, S.J.
ff7bbc3e-b758-40e8-bfc2-a5f727285d9d
Kuprov, Ilya
bb07f28a-5038-4524-8146-e3fc8344c065
4 August 2011
de Fouquieres, P.
304b02b8-122c-4066-8806-a830fe4c4a13
Schirmer, S.G.
5005158b-ebfd-4370-880c-c83f7573c70c
Glaser, S.J.
ff7bbc3e-b758-40e8-bfc2-a5f727285d9d
Kuprov, Ilya
bb07f28a-5038-4524-8146-e3fc8344c065
de Fouquieres, P., Schirmer, S.G., Glaser, S.J. and Kuprov, Ilya
(2011)
Second order gradient ascent pulse engineering.
Journal of Magnetic Resonance, 212 (2), .
(doi:10.1016/j.jmr.2011.07.023).
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.
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Published date: 4 August 2011
Organisations:
Computational Systems Chemistry
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Local EPrints ID: 337136
URI: http://eprints.soton.ac.uk/id/eprint/337136
PURE UUID: 51a5b2a7-4777-41e1-8218-3cabb4026dff
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Date deposited: 19 Apr 2012 12:30
Last modified: 15 Mar 2024 03:43
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Author:
P. de Fouquieres
Author:
S.G. Schirmer
Author:
S.J. Glaser
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