Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 22: Posters: Quantum Optics and Photonics II
Q 22.36: Poster
Tuesday, March 10, 2020, 16:30–18:30, Empore Lichthof
Lie-algebra-based estimation of the quantum speed limit — •Fernando Gago Encinas1, Christiane Koch1, and Thomas Chambrion2 — 1Institute of Theoretical Physics, Freie Universität Berlin, 14195 Berlin, Germany — 2Institut de Mathématiques de Bourgogne, Université de Bourgogne, 21000 Dijon, France
In this work we study the needed time for a set of initial states to evolve into other target states using some of the tools typical of controllability theory. We are able to do so by using the concept of available speed S(v)=exp(−v B) A exp(vB) which is defined for a system with a Hamiltonian H = A + u B and an integral v = ∫u dt over the control. It is possible then to compute the convex hull defined by the available speed in every possible direction of the Lie algebra. Finally an optimisation algorithm is later used to tell which direction is best for reaching our goal, thus obtaining a measurement for the expected time.