High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach

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Títol: High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach
Autors: Lee, Spencer, Appelo, Daniel
Any de publicacio: 2025
Col·lecció: Computer Science
Mathematics
Quantum Physics
Matèria: Mathematics - Numerical Analysis, Quantum Physics
Descripció: This work introduces the High-Order Hermite Optimization (HOHO) method, an open-loop discrete adjoint method for quantum optimal control. Our method is the first of its kind to efficiently compute exact (discrete) gradients when using continuous, parameterized control pulses while solving the forward equations (e.g. Schrodinger's equation or the Linblad master equation) with an arbitrarily high-order Hermite Runge-Kutta method. The HOHO method is implemented in [QuantumGateDesign.jl](https://github.com/leespen1/QuantumGateDesign.jl), an open-source software package for the Julia programming language, which we use to perform numerical experiments comparing the method to [Juqbox.jl](https://github.com/LLNL/Juqbox.jl). For realistic model problems we observe speedups up to 775x.
Tipus de document: Working Paper
URL d'accés: http://arxiv.org/abs/2505.09857
Número de registre: edsarx.2505.09857
Base de dades: arXiv
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