4.3 Article

Second order gradient ascent pulse engineering

Journal

JOURNAL OF MAGNETIC RESONANCE
Volume 212, Issue 2, Pages 412-417

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmr.2011.07.023

Keywords

Optimal control; GRAPE; BFGS

Funding

  1. EPSRC [EP/F065205/1, EP/H003789/1, EP/D07192X/1, CASE/CNA/07/47]
  2. DFG [GI 203/6-1, SFB 631]
  3. Hitachi Corporation
  4. EU
  5. EPSRC [EP/F065205/1, EP/D07195X/2, EP/H003789/1, EP/F065205/2, EP/D07195X/1] Funding Source: UKRI
  6. Engineering and Physical Sciences Research Council [EP/F065205/2, EP/H003789/1, EP/F065205/1, EP/D07195X/2, EP/D07195X/1] Funding Source: researchfish

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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. (C) 2011 Elsevier Inc. All rights reserved.

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