5 papers
Commutator-free Cayley methods
Boris Wembe, Christian Offen, Sofya Maslovskaya +2
Differential equations posed on quadratic matrix Lie groups arise in the context of classical mechanics and quantum dynamical systems. Lie group numerical integrators preserve the…
Non static exponential turnpike property for optimal control problems with symmetries and boundary conditions
Sofya Maslovskaya, Sina Ober-Blöbaum, Boris Wembe
Optimal control problems with symmetries often admit a non stationary turnpike property called trim turnpike, which characterizes the convergence of optimal solutions to certain sy…
Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control
Boris Wembe, Usman Ali, Torsten Meier +1
This paper presents a class of structure-preserving numerical methods for quantum optimal control problems, based on commutator-free Cayley integrators. Starting from the Krotov fr…
Numerical approaches to entangling dynamics from variational principles
Christian Offen, Boris Wembe, Laura Ares +2
In this work, we address the numerical identification of entanglement in dynamical scenarios. To this end, we consider different programs based on the restriction of the evolution…
Adaptive higher order reversible integrators for memory efficient deep learning
Sofya Maslovskaya, Sina Ober-Blöbaum, Christian Offen +2
The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, whi…