We address selected topics from quantum theory
in a unifying mathematical framework. Aiming at algorithmic improvements of a quantum control algorithm, we study numerical approaches to matrix exponentials and the matrix-multiplication prefix problem. In the context of high-dimensional quantum tensor networks, we investigate approximate representations and related algorithms. Based on a survey of established concepts, we derive theoretical statements and problem-adapted numerical approaches,
which lead to a significant improvement in runtime and space requirement.
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We address selected topics from quantum theory
in a unifying mathematical framework. Aiming at algorithmic improvements of a quantum control algorithm, we study numerical approaches to matrix exponentials and the matrix-multiplication prefix problem. In the context of high-dimensional quantum tensor networks, we investigate approximate representations and related algorithms. Based on a survey of established concepts, we derive theoretical statements and problem-adapted numerical approaches,
wh...
»