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Literature DB >> 21885306

Second order gradient ascent pulse engineering.

P de Fouquieres¹, S G Schirmer, S J Glaser, Ilya Kuprov.

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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Substances：
Spin Labels

Year: 2011 PMID： 21885306 DOI： 10.1016/j.jmr.2011.07.023

Source DB: PubMed Journal: J Magn Reson ISSN： 1090-7807 Impact factor: 2.229

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Cited

12 in total

1. Flexible and efficient optimization of quantitative sequences using automatic differentiation of Bloch simulations.

Authors: Philip K Lee; Lauren E Watkins; Timothy I Anderson; Guido Buonincontri; Brian A Hargreaves
Journal: Magn Reson Med Date: 2019-05-26 Impact factor: 4.668

2. Genetic algorithm optimized triply compensated pulses in NMR spectroscopy.

Authors: V S Manu; Gianluigi Veglia
Journal: J Magn Reson Date: 2015-09-28 Impact factor: 2.229

3. Application of the limited-memory quasi-Newton algorithm for multi-dimensional, large flip-angle RF pulses at 7T.

Authors: Mads S Vinding; Daniel Brenner; Desmond H Y Tse; Sebastian Vellmer; Thomas Vosegaard; Dieter Suter; Tony Stöcker; Ivan I Maximov
Journal: MAGMA Date: 2016-08-02 Impact factor: 2.310

4. Optimization of identity operation in NMR spectroscopy via genetic algorithm: Application to the TEDOR experiment.

Authors: V S Manu; Gianluigi Veglia
Journal: J Magn Reson Date: 2016-09-27 Impact factor: 2.229

5. Optimized quantification of spin relaxation times in the hybrid state.

Authors: Jakob Assländer; Riccardo Lattanzi; Daniel K Sodickson; Martijn A Cloos
Journal: Magn Reson Med Date: 2019-06-12 Impact factor: 4.668

6. Local SAR, global SAR, and power-constrained large-flip-angle pulses with optimal control and virtual observation points.

Authors: Mads S Vinding; Bastien Guérin; Thomas Vosegaard; Niels Chr Nielsen
Journal: Magn Reson Med Date: 2015-12-30 Impact factor: 4.668

Second order gradient ascent pulse engineering.

1. Flexible and efficient optimization of quantitative sequences using automatic differentiation of Bloch simulations.

2. Genetic algorithm optimized triply compensated pulses in NMR spectroscopy.

3. Application of the limited-memory quasi-Newton algorithm for multi-dimensional, large flip-angle RF pulses at 7T.

4. Optimization of identity operation in NMR spectroscopy via genetic algorithm: Application to the TEDOR experiment.

5. Optimized quantification of spin relaxation times in the hybrid state.

6. Local SAR, global SAR, and power-constrained large-flip-angle pulses with optimal control and virtual observation points.

7. Quantum-enhanced radiometry via approximate quantum error correction.

8. Joint design of large-tip-angle parallel RF pulses and blipped gradient trajectories.

9. Optimization of phase dispersion enables broadband excitation without homonuclear coupling artifacts.

10. Implementing a universal gate set on a logical qubit encoded in an oscillator.