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

Opis bibliograficzny
Tytuł: High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach
Autorzy: Lee, Spencer, Appelo, Daniel
Rok wydania: 2025
Kolekcja: Computer Science
Mathematics
Quantum Physics
Hasła: Mathematics - Numerical Analysis, Quantum Physics
Opis: 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.
Typ dokumentu: Working Paper
URL dostępu: http://arxiv.org/abs/2505.09857
Numer dostępu: edsarx.2505.09857
Baza danych: arXiv
Opis
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