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Quantum Complexity of Parametric Integration

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Type
Preprint
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arXiv ID: quant-ph/0305103
Source
arXiv
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Abstract

We study parametric integration of functions from the class C^r([0,1]^{d_1+d_2}) to C([0,1]^{d_1}) in the quantum model of computation. We analyze the convergence rate of parametric integration in this model and show that it is always faster than the optimal deterministic rate and in some cases faster than the rate of optimal randomized classical algorithms.

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