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Q: Fachverband Quantenoptik und Photonik

Q 55: Poster II

Q 55.42: Poster

Donnerstag, 11. März 2010, 16:00–19:00, Lichthof

Optimal Control of Adiabatic Quantum Search — •Johannes Nehrkorn — Institut für Quanteninformationsverarbeitung, Uni Ulm

The total time of an adiabatic computation depends on the speed by which the Hamiltonian of the system is varied. Cerf and Roland proposed an upper bound for this speed as a function of the instantaneous gap. Here, we propose a different approach, applicable for a much broader range of problems, where only an instantaneous condition is used to determine a maximum speed per timestep without any knowledge of the full instantaneous spectrum of the system. This approach is then tested on the search problem introduced by Roland and Cerf.