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• W2913376591 abstract "Quadratic convergence throughout the active space is achieved for the gradient ascent pulse engineering (GRAPE) family of quantum optimal control algorithms. We demonstrate in this communication that the Hessian of the GRAPE fidelity functional is unusually cheap, having the same asymptotic complexity scaling as the functional itself. This leads to the possibility of using very efficient numerical optimization techniques. In particular, the Newton-Raphson method with a rational function optimization (RFO) regularized Hessian is shown in this work to require fewer system trajectory evaluations than any other algorithm in the GRAPE family. This communication describes algebraic and numerical implementation aspects (matrix exponential recycling, Hessian regularization, etc.) for the RFO Newton-Raphson version of GRAPE and reports benchmarks for common spin state control problems in magnetic resonance spectroscopy." @default.
• W2913376591 created "2019-02-21" @default.
• W2913376591 creator A5035851986 @default.
• W2913376591 creator A5048883732 @default.
• W2913376591 date "2015-10-08" @default.
• W2913376591 modified "2023-09-27" @default.
• W2913376591 title "Modified Newton-Raphson methods in optimal control of quantum systems" @default.
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