SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantum Control (joint session QI/Q)

Q 46.7: Talk

Thursday, March 9, 2023, 12:45–13:00, B305

Unitary Interpolation — •Michael Schilling, Matthias Müller, and Felix Motzoi — Forschungszentrum Jülich, Jülich, Deutschland

The generation of matrix exponentials and associated differentials, required to determine the time evolution of quantum systems, is frequently the primary source of running time in quantum control problems. We introduce two ideas for the time efficient approximation of matrix exponentials of linear parametric Hamiltonians. We modify the Trotter and Suzuki-Trotter product formulas from approximation to interpolation schemes to improve their accuracy. To achieve our target fidelities within a single interpolation step and avoid the need of exponentiation, we furthermore define the interpolation on a grid of interpolation intervals. We demonstrate a speed up of at least an order of magnitude when compared with eigenvalue decomposition, Runge-Kutta and Suzuki-Trotter based approaches. This holds true independent of system dimension, for problems with few time dependent controls.