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.
authors: Centre for Quantum Computation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
authors: P
authors: P
authors: de Fouquieres
authors: S G
authors: SG
authors: Schirmer
authors: S J
authors: SJ
authors: Glaser
authors: Ilya
authors: I
authors: Kuprov
mesh_terms: D000465:Algorithms; D003627:Data Interpretation, Statistical; D004578:Electron Spin Resonance Spectroscopy / Q000379:methods*; D016571:Neural Networks, Computer; D011789:Quantum Theory; D012984:Software; D013113:Spin Labels
chemical_list: D013113:Spin Labels