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• W2023347923 abstract "We study approximation of embeddings between finite-dimensional L p spaces in the quantum model of computation. For the quantum query complexity of this problem matching (up to logarithmic factors) upper and lower bounds are obtained. The results show that for certain regions of the parameter domain quantum computation can essentially improve the rate of convergence of classical deterministic or randomized approximation, while there are other regions where the best possible rates coincide for all three settings. These results serve as a crucial building block for analyzing approximation in function spaces in a subsequent paper (Quantum approximation II. Sobolev Embeddings, J. Complexity, submitted)." @default.
• W2023347923 created "2016-06-24" @default.
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• W2023347923 date "2004-02-01" @default.
• W2023347923 modified "2023-09-26" @default.
• W2023347923 title "Quantum approximation I. Embeddings of finite-dimensional Lp spaces" @default.
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• W2023347923 doi "https://doi.org/10.1016/j.jco.2003.08.002" @default.
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