Centre for Quantum Computation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
J Magn Reson. 2011 Oct;212(2):412-7. doi: 10.1016/j.jmr.2011.07.023. Epub 2011 Aug 4.
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.
我们报告了梯度上升脉冲工程（GRAPE）算法在自旋系综和其他量子系统最优控制方面的一些改进。这些改进包括更精确的梯度、使用 Broyden-Fletcher-Goldfarb-Shanno（BFGS）拟牛顿算法的收敛加速以及更快的控制导数计算算法。在所有测试系统中，与近似梯度上升相比，实际运行时间和收敛速度都有了显著提高。
