Nach einer physikalischen Betrachtung der Quantenmechanik werden zun�chst die ben�tigten mathematischen Grundlagen eingef�hrt bzw. wiederholt: Vektorr�ume, darauf aufbauend Hilbertr�ume und die Tensorrechnung, gefolgt von den Grundlagen der Wahrscheinlichkeitsrechnung. Auf diesen Grundlagen wird ein Quantencomputer insoweit modelliert, wie es f�r die Formulierung von Algorithmen notwendig ist, d.h. als mathematisches Modell der Quantenbits, der Zeitentwicklung durch Gates und der abschlie�enden Messungen. Auf diesem Modell werden dann die klassischen Quantenalgorithmen jeweils vollst�ndig eingef�hrt und erkl�rt. Schlie�lich wird die denkbare Umsetzung von Quantenalgorithmen auf heute existierende klassische Computer diskutiert.

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