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Q: Fachverband Quantenoptik und Photonik
Q 55: Poster II
Q 55.43: Poster
Donnerstag, 11. März 2010, 16:00–19:00, Lichthof
Optimising Quantum Control Algorithms: Tailored Balance between Sequential and Simultaneous Control Update — •Uwe Sander1, Shai Machnes2, Steffen Glaser1, and Thomas Schulte-Herbrüggen1 — 1Department of Chemistry, Technical University of Munich, D-85747 Garching, Germany — 2School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel
We compare the computational performance of the commonly used unconstrained optimal-control algorithms GRAPE (simultaneous update) and Krotov (sequential update), as well as several hybrid versions. Highly optimised code is used to study their behaviour in terms of computationally demanding operations like matrix multiplications and matrix exponentials. Test cases include unitary gate synthesis and state-to-state transfer for various system sizes, coupling types and topologies. The relative performance of each algorithm varies significantly with problem type and size (factors may be as large as ten). We give paradigmatic scenarios, where either GRAPE or hybrids that are midway or close to Krotov perform best.