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

Bibliografische gegevens
Titel: High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach
Auteurs: Lee, Spencer, Appelo, Daniel
Publicatiejaar: 2025
Collectie: Computer Science
Mathematics
Quantum Physics
Onderwerpstermen: Mathematics - Numerical Analysis, Quantum Physics
Omschrijving: 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.
Document Type: Working Paper
URL naar item: http://arxiv.org/abs/2505.09857
Archiefnummer: edsarx.2505.09857
Databank: arXiv
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